ACCELERATED MATHEMATICS CHAPTER 11 DIMENSIONAL GEOMETRY TOPICS COVERED:

Size: px
Start display at page:

Download "ACCELERATED MATHEMATICS CHAPTER 11 DIMENSIONAL GEOMETRY TOPICS COVERED:"

Transcription

1 ACCELERATED MATHEMATICS CHAPTER DIMENSIONAL GEOMETRY TOPICS COVERED: Naming 3D shapes Nets Volume of Prisms Volume of Pyramids Surface Area of Prisms Surface Area of Pyramids Surface Area using Nets

2 Accelerated Mathematics Formula Chart Linear Equations Slope-intercept form y = mx + b Direct Variation y = kx (8 th grade) Constant of proportionality y y y k = Slope of a line m = x x x (8 th grade) Circumference Circle C = π r or C = π d Area Rectangle A = bh Trapezoid A = ( b + b ) h Parallelogram A = bh Circle Triangle bh A = or A = bh Surface Area (8 th grade) Lateral Total A = π r Prism S = Ph S = Ph + B Cylinder S π rh = S = π rh + π r Volume Triangular prism V = Bh Cylinder Rectangular prism V = Bh Cone Pyramid V = Bh Sphere 3 V Bh or V π r h = = (8 th grade) V = Bh or V = π r h (8 th ) V = π r (8 th grade) 3 Pi π 3.4 or π 7 Distance d = rt Compound Interest A = P( + r) t Simple Interest I = prt Pythagorean Theorem a + b = c (8 th grade) Customary Length mile = 760 yards yard = 3 feet foot = inches Metric Length kilometer = 000 meters meter = 00 centimeters centimeter = 0 millimeters Customary Volume/Capacity pint = cups cup = 8 fluid ounces quart = pints gallon = 4 quarts Metric Volume/Capacity liter = 000 milliliters Customary Mass/Weight ton =,000 pounds pound = 6 ounces Metric Mass/Weight kilogram = 000 grams gram = 000 milligrams

3 Area/Volume/Surface Area Computation Page EXAMPLES A = ( b + b ) h A = (0 + 0) 6 A = 90 cm V V V = π r h = = 570 m 3 S = B + Ph S = (8 6) + (8) 0 S = 376 in

4 Cube Square prism Rectangular prism Right triangular prism Trapezoidal prism Isosceles triangular prism Cylinder Cone Triangular and Square Pyramids Sphere

5 Net of a pyramid Net of a cylinder Lateral face: A face that joins the bases of a solid. It is any edge or face that is not part of the base.

6 Activity -: Basics of Solids Three dimensional (solid) figures include what five shapes? Characteristics of Solids Three-dimensional figures, or solids, can have or surfaces. Prisms and pyramids are named by the shapes of their. A is a diagram of the surfaces of a three-dimensional figure. It can be folded to form the three-dimensional figure. Classify each solid and tell how many faces, edges, and vertices. Type Properties. Faces = Edges = Vertices =. Faces = Edges = Vertices = 3. Faces = Edges = Vertices = 4. Faces = Edges = Vertices = 5. Faces = Edges = Vertices = 3 4 5

7 Activity -: Volume of Prisms & Pyramids The volume of a solid is a measure of the amount of space it occupies or how much it can hold. The volume V of a prism is the product of the area of the base B and the height h. V = Bh The volume V of a pyramid is one third the product of the area of the base, B and the height, h. V = Bh 3 V Volume of a Prism = Bh, B = Area of the base V Volume of a Pyramid = Bh, B = Area of the base 3 Find the volume of each figure... Identify the three-dimensional shape that can be formed from each net Solve The base of a rectangular pyramid is 3 inches long and inches wide. The height of the pyramid is 8 inches. What is the volume of the pyramid? A cake pan is shaped like a rectangular prism. The pan s volume is 6 in 3. The cake pan has a base that is inches by 9 inches. What is the height of the cake pan? A form for a garden ornament is made up of two shapes, a cube and a square pyramid (see picture at the right above this table). To make an ornament the form is filled with concrete. What is the volume of the form?

8 Activity -3: Volume of Prisms Find the volume of the four prisms below... ft 0 ft 9 ft in 7 in 7 in Find the volume of the rectangular prism with length, l, width, w, and height, h. 5. l = 5 m, w = 8 m, h = 9 m 6. l = 0 in, w = 4 in, h = 5 in 7. l = 6 yd, w = 0. yd, h = 4.3 yd 8. l = mm, w = 7 mm, h = mm Find the volume of the solid. Round your answer to the nearest hundredth, if necessary mm 7 m 3 mm 4 mm 9 m m.

9 Activity -4: Volume of Pyramids Find the volume of each pyramid below... h = 3 ft h = 8 in 4 in 5 in 300 ft 300 ft This is the Pyramid Arena in Memphis, TN. Find the volume of the pyramid. 3. Triangular pyramid: base of the triangle = 8 ft, height of the triangle = 6 ft, height of the pyramid = 7 ft 4. Square pyramid: sides of the square = 4 mm, height of the pyramid = 9 mm 5. A pyramid bookend is being formed out of concrete. The rectangular base on the bookend is 8 in by 7 in. The height of the pyramid is 5 in. Find the volume of the pyramid with base area B and height h. 6. B = 8 in, h = 5 in 7. B = 6.3 mm, h =.9 mm Find the volume of the three pyramids below h = 5 in 0. 7 cm Height of pyramid: m 3 cm cm 0 in 0 in 8 m m Find the volume of the square pyramid with base side length s and height h.. s = 3 in, h = 7 in. s = 9 mm, h = 4 mm 3. s = 9 ft, h = ft

10 Activity -5: Volume of Prisms & Pyramids Find the volume of each solid below Solve. 5. A triangular prism has a base area of 0 square feet and a height of 4 feet. Find the volume The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid s base if the pyramid height is 3 meters? A triangular prism has a volume of,500 cubic feet. What is the length of the prism if its triangular bases are right triangles, each with perpendicular sides of 0 and 0 feet? The height of a pyramid is 5 inches. The pyramid s base is a square with a side of 5 inches. What is the pyramid s volume? A rectangular box has a volume of 480 cubic inches. The height of the box is 5 inches. The ratio of the length of the box to the width of the box is 3 to. What is the measure of the width of the box? A square pyramid has edges of length p and a height of p as well. Which expression represents the volume of the pyramid? 3 A 3 p B 3 p C 3 p + p D 3 p + p Mr. Underwood says that when the height of a rectangular prism is doubled, its volume also doubles. Mrs. Scogin says then when the height of a rectangular prism is doubled, volume quadruples. Who is correct? Explain your reasoning.. What happens to the volume of a rectangular prism when its height is tripled? 3. What happens to the volume of a triangular pyramid when its height is tripled? 4. What happens to the volume of a triangular prism when the area of its base is doubled?

11 Activity -6: Surface Area of Prisms A net is a two-dimensional pattern that forms a solid when it is folded. The surface area of a polyhedron is the sum of the areas of its faces. The total surface area of a prism is the sum of twice the area of the base and the product of the base s perimeter and the height. S = B + Ph Example Draw a net for the pentagonal prism. For the rectangular faces, draw adjacent rectangles. Draw the bases on opposite sides one rectangle. Draw a net for the following shapes. A lamp shade will be constructed from rice paper shown below. How much paper will be needed to make the lampshade? The first time, use the sum of the areas method. The second time, use the formula for the surface area of a prism. The triangles are equilateral triangles. 9 in 8 in 7.8 in

12 Activity -7: Surface Area of Prisms The total surface area of a solid is the sum of the areas of all faces including the bases. The lateral surface area of a solid is the sum of all faces excluding the bases. In a rectangular prism, you can assume the bases are the top and bottom faces, unless otherwise specified. Surface Area from a Net of a Prism or Pyramid Total Surface Area S = Add the area of all sides and base(s) Lateral Surface Area S = Add the area of all sides Total Surface Area S = Ph + B, Surface Area of a Prism Lateral Surface Area P = Perimeter of base, B = Area of base P = Perimeter of base S = Ph Please measure to the nearest tenth of a centimeter. Dimensions:,, LS = S =

13 Activity -8: Surface Area of Prisms Find the total and lateral surface area of each figure. Assume the top and bottom faces are the bases. Don t forget to include units! The top of the Washington Monument is a triangular pyramid with a square base. Each triangular face is 58 feet tall and 34 feet wide and covered with white marble. About how many square feet of marble cover the faces of the pyramid? 6. A glass, equilateral triangular prism for a telescope is 5.5 inches long. Each side of the prism s triangular bases is 4 inches long and 3 inches high. How much glass covers the surface of the prism? Draw a net, find the area of each face, and find the total of all the areas m in 3 m m 0 in in

14 Activity -9: Surface Area of Prisms. You are making a jewelry box shown for your mother. Draw a net and then find the amount of wood you need to make the box. Then use the formula for the surface area of a prism. 3 in 0 in 5 in. What is the surface area of a rectangular prism that is 6 inches long, 8 inches wide, and inches high? Find the surface area of the prism, where B is the area of the base, P is the perimeter of the base, and h is the height. 3. B = 8 m, P = 3 m, h = 6 m 4. B = 5 m, P = m, h = 3 m 5. B = 4 yd, P = 3 yd, h = 8 yd 6. B = 58 mm, P = 36 mm, h = 0 mm Identify the solid shown by the net. Then find the surface area Draw a net for the solid. Then find the surface area of the solid ft 3 ft 4 ft.. in 7 in 8 in

15 Activity -0: Surface Area of Pyramids The slant height, l, of a regular pyramid is the height of any of its triangular faces. The surface area, S, of a pyramid is the sum of the area of the base B and one half the product of the base perimeter P and the slant height l. S = B + Pl What is the height of the pyramid? What is the slant height of the pyramid? What is the base shape? What does B stand for? What does P stand for? h = 4 cm l = 6 cm 0 cm LS = S = V = 0 cm

16 Activity -: Surface Area of Pyramids Find the total surface area of the four regular pyramids shown by drawing a net first. Then find the lateral surface area of each... 6 ft 6 ft 7 ft 7 ft 5 ft 5 ft congruent faces 5. Find the surface area of a pyramid whose slant height is 9 cm and whose base is a 4 cm by 6 cm rectangle. Find the surface area of the pyramid with the base lengths shown and the slant height, l. 6. length = width = 4 m, l = 3 m 7. length = 6 in, width = 0 in, l = 5 in 8. length = width = m, l = 7.3 m 9. length = 6 yd, width = 0 yd, l = 4. yd

17 Activity -: Surface Area of Prisms & Pyramids. What is the total surface area of this cube? A 9 ft 8 B 0 ft 4 C ft D 0 ft 4 Find the surface area of the following shapes.. 3. Draw a net and find the area of each face to calculate the lateral and total surface areas for each figure. 4. The base is a square You are wrapping a gift box that is 5 inches long, inches wide, and 4 inches deep. Use a net to find the length and width of a single sheet of paper that could be used to wrap the entire gift box. Find the surface area of the box. Length of gift paper: Width of gift paper: Surface Area:

18 Activity -3: 3D Shapes/Volume/Surface Area.. A shipping company sells two types of cartons that are shaped like rectangular prisms. The larger carton has a volume of 70 cubic inches. The smaller carton has dimensions that are half the size of the larger carton. What is the volume, in cubic inches, of the smaller carton? An ice cream carton has a volume of 64 fluid ounces. A second ice cream carton has dimensions that are three-fourths the size of the larger carton. What is the volume of the smaller carton? 3. How many by by inch cubes will fit into a 4 by 8 by inch box? For a regular pentagonal prism, what is the ratio of the number of vertices to the number of edges? :3 3: 3:5 5:3 (43% of all th graders answered this question correctly on STAAR.) Name the solid that has bases that are each 5 sided shapes and the vertices of each base are joined together forming 5 edges. Identify the three-dimensional figure that can be formed by this net: You have two cubes. The smaller cube has dimensions that are x long and the larger cube has dimensions that are 4x long. If the smaller cube has a volume of 64 cubic feet, find the volume of the larger cube. Izabella takes her pet iguana to the pet store. The owner of the store tells her that she needs to buy a new terrarium that has twice as much volume as the old one. Which of the following processes should she use to determine the dimensions of the new terrarium that has twice the volume of her current one? A She should double one dimension. B She should double all three dimensions. C She should cube one dimension. D She should double two dimensions. E She should square one dimension. 9. How many cubic inches are in a cubic foot?

19 Activity -4: Volume and Capacity Taken from TexTEAMS Rethinking Elementary Math, Part II If the first cube is unit on an edge, it takes unit cube to build it. The next larger cube is units on an edge. It takes 8 units cubes to build it. Notice that there is one cube hidden by the other cubes no matter how hard you look for it. Continuing on with the next cubes, record the number of unit cubes it takes to build each and the number of hidden cubes. Number of cubes on each edge Total number of cubes Hidden Cubes If you know the number of units on the edge of a cube, explain how you could find out the number of cubes it would take to build.. If you know the number of unit cubes it takes to build a larger cube, can you figure out the units on an edge? 3. Do you notice any pattern about the hidden number of cubes? If so, describe it. Use the cubes to build a variety of rectangular prisms. For each one record the dimensions of your prism and the number of cubes it took to build it. Dimensions of prism Total number of cubes by 3 by 4 4. Describe the patterns you see in your data. 5. Can you figure out the dimensions of your prism if you know the number of cubes it took to build it? 6. Can you figure out how many cubes it took to build your prism if you know its dimensions?

ACCELERATED MATHEMATICS CHAPTER 15 DIMENSIONAL GEOMETRY II TOPICS COVERED:

ACCELERATED MATHEMATICS CHAPTER 15 DIMENSIONAL GEOMETRY II TOPICS COVERED: ACCELERATED MATHEMATICS CHAPTER 15 DIMENSIONAL GEOMETRY II TOPICS COVERED: Volume of Cylinders Volume of Cones Volume of Spheres Surface Area of Prisms Surface Area of Cylinders Accelerated Mathematics

More information

Measurement and Geometry

Measurement and Geometry 8A A Family Letter: Area Dear Family, The student will learn how to convert between units within the customary and metric measuring systems. The table below shows the conversions for the customary system.

More information

3. Draw the orthographic projection (front, right, and top) for the following solid. Also, state how many cubic units the volume is.

3. Draw the orthographic projection (front, right, and top) for the following solid. Also, state how many cubic units the volume is. PAP Geometry Unit 7 Review Name: Leave your answers as exact answers unless otherwise specified. 1. Describe the cross sections made by the intersection of the plane and the solids. Determine if the shape

More information

Volume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth.

Volume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth. Volume of Cylinders As with prisms, the area of the base of a cylinder tells the number of cubic units in one layer. The height tells how many layers there are in the cylinder. The volume V of a cylinder

More information

3 Dimensional Solids. Table of Contents. 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres

3 Dimensional Solids. Table of Contents. 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres Table of Contents 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres Surface Area Prisms Pyramids Cylinders Spheres More Practice/ Review 3 Dimensional Solids Polyhedron A

More information

Measurement and Geometry

Measurement and Geometry Name Date Class Review for Mastery: Converting Customary Units You can use the table below to convert customary units. Length 1 foot = 1 inches 1 yard = 36 inches 1 yard = 3 feet 1 mile = 5,80 feet 1 mile

More information

Brunswick School Department: Grade 5

Brunswick School Department: Grade 5 Understandings Questions Mathematics Lines are the fundamental building blocks of polygons. Different tools are used to measure different things. Standard units provide common language for communicating

More information

Write Euler s Theorem. Solving Problems Using Surface Area and Volume. Figure Surface Area Volume. Cl V 5 1 } 3

Write Euler s Theorem. Solving Problems Using Surface Area and Volume. Figure Surface Area Volume. Cl V 5 1 } 3 CHAPTER SUMMARY Big Idea 1 BIG IDEAS Exploring Solids and Their Properties For Your Notebook Euler s Theorem is useful when finding the number of faces, edges, or vertices on a polyhedron, especially when

More information

10-1. Enrichment. You Can Count On It!

10-1. Enrichment. You Can Count On It! 10-1 You Can Count On It! How many triangles are there in the figure at the right? How many parallelograms? When counting shapes in a figure like this, you usually have to think of different sizes. There

More information

Assignment Guide: Chapter 11 Geometry (L3)

Assignment Guide: Chapter 11 Geometry (L3) Assignment Guide: Chapter 11 Geometry (L3) (136) 11.1 Space Figures and Cross Sections Page 692-693 #7-23 odd, 35 (137) 11.2/11.4 Surface Areas and Volumes of Prisms Page 703-705 #1, 2, 7-9, 11-13, 25,

More information

Number/Computation. addend Any number being added. digit Any one of the ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9

Number/Computation. addend Any number being added. digit Any one of the ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 14 Number/Computation addend Any number being added algorithm A step-by-step method for computing array A picture that shows a number of items arranged in rows and columns to form a rectangle associative

More information

2-dimensional figure. 3-dimensional figure. about. acute angle. addend. addition. angle. area. array. bar graph. capacity

2-dimensional figure. 3-dimensional figure. about. acute angle. addend. addition. angle. area. array. bar graph. capacity 2-dimensional figure a plane figure that has length and width 3-dimensional figure a solid figure that has length, width, and height about used to indicate approximation/ estimation; indicates rounding

More information

Chapter 12 Review Period:

Chapter 12 Review Period: Chapter 12 Review Name: Period: 1. Find the number of vertices, faces, and edges for the figure. 9. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer. 10. Find the

More information

Geometry Solids Identify Three-Dimensional Figures Notes

Geometry Solids Identify Three-Dimensional Figures Notes 26 Geometry Solids Identify Three-Dimensional Figures Notes A three dimensional figure has THREE dimensions length, width, and height (or depth). Intersecting planes can form three dimensional figures

More information

The School District of Palm Beach County Fifth Grade Mathematics Scope rd Trimester

The School District of Palm Beach County Fifth Grade Mathematics Scope rd Trimester Unit & Go Math! & lessons from each Measurement and Data MA.5.G.5.3 MD.1.1 Convert like measurement units within a given measurement system. Convert among different-sized standard measurement units within

More information

8th Grade. Slide 1 / 97. Slide 2 / 97. Slide 3 / 97. 3D Geometry. Table of Contents. 3-Dimensional Solids. Volume. Glossary & Standards

8th Grade. Slide 1 / 97. Slide 2 / 97. Slide 3 / 97. 3D Geometry. Table of Contents. 3-Dimensional Solids. Volume. Glossary & Standards Slide 1 / 97 Slide 2 / 97 8th Grade 3D Geometry 2015-11-20 www.njctl.org Table of Contents Slide 3 / 97 3-Dimensional Solids Click on the topic to go to that section Volume Prisms and Cylinders Pyramids,

More information

Additional Practice. Name Date Class

Additional Practice. Name Date Class Additional Practice Investigation 1 1. The four nets below will fold into rectangular boxes. Net iii folds into an open box. The other nets fold into closed boxes. Answer the following questions for each

More information

Unit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon

Unit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon Unit 7: 3D Figures 10.1 & 10.2 2D formulas & Area of Regular Polygon NAME Name the polygon with the given number of sides: 3-sided: 4-sided: 5-sided: 6-sided: 7-sided: 8-sided: 9-sided: 10-sided: Find

More information

Math Tool: Grid Paper

Math Tool: Grid Paper Math Tool: Grid Paper A2 math tools Reproducible page, for classroom use only. 20 Triumph Learning, LLC Math Tool: Grid Paper Reproducible page, for classroom use only. 20 Triumph Learning, LLC math tools

More information

Name: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids

Name: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids Unit 12: Surface Area and Volume of Solids Target 12.0: Euler s Formula and Introduction to Solids Target 12.1: Find and apply surface area of solids 12.1a: Surface Area of Prisms and Cylinders 12.1b:

More information

Volume of Rectangular Prisms and Pyramids. Use the formula. Substitute for l and w. Use the formula. Substitute for B and h.

Volume of Rectangular Prisms and Pyramids. Use the formula. Substitute for l and w. Use the formula. Substitute for B and h. ? LESSON 10.1 ESSENTIAL QUESTION Volume of Rectangular Prisms and Pyramids How do you find the volume of a rectangular prism and a rectangular pyramid? Finding the Volume of a Rectangular Prism Remember

More information

Practice A Introduction to Three-Dimensional Figures

Practice A Introduction to Three-Dimensional Figures Name Date Class Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular

More information

{[2 x (3+5)] 9}= {[2 x 8] 9}= {16 9}=

{[2 x (3+5)] 9}= {[2 x 8] 9}= {16 9}= {[2 x (3+5)] 9}= {[2 x 8] 9}= {16 9}= 7 5.OA.1 Subtract 6 from 24 = 24-6 Add 12 and 13 = 12 + 13 Multiply 8 by 2 = 8 x 2 Divide 36 by 6 = 36 6 5.OA.2 X and Y Start at O Rule for X- Add 3 Rule for Y- Add

More information

Name: Period: 2018 Geometry Spring Final Exam Review

Name: Period: 2018 Geometry Spring Final Exam Review 2018 Geometry Spring Final Exam Review 1. Find the number of lunch combinations that can be created if you order a soup, sandwich, drink and dessert. There are 4 soup choices, 5 sandwich choices, 3 drink

More information

Lesson 10T ~ Three-Dimensional Figures

Lesson 10T ~ Three-Dimensional Figures Lesson 10T ~ Three-Dimensional Figures Name Period Date Use the table of names at the right to name each solid. 1. 2. Names of Solids 3. 4. 4 cm 4 cm Cone Cylinder Hexagonal prism Pentagonal pyramid Rectangular

More information

Part I Multiple Choice

Part I Multiple Choice Oregon Focus on Surface Area and Volume Practice Test ~ Surface Area Name Period Date Long/Short Term Learning Targets MA.MS.07.ALT.05: I can solve problems and explain formulas involving surface area

More information

11.4 Volume of Prisms and Cylinders

11.4 Volume of Prisms and Cylinders 11.4 Volume of Prisms and Cylinders Learning Objectives Find the volume of a prism. Find the volume of a cylinder. Review Queue 1. Define volume in your own words. 2. What is the surface area of a cube

More information

UNIT 11 VOLUME AND THE PYTHAGOREAN THEOREM

UNIT 11 VOLUME AND THE PYTHAGOREAN THEOREM UNIT 11 VOLUME AND THE PYTHAGOREAN THEOREM INTRODUCTION In this Unit, we will use the idea of measuring volume that we studied to find the volume of various 3 dimensional figures. We will also learn about

More information

Real-World Problems: Surface Area and Volume. Solve word problems about the volume of rectangular prisms.

Real-World Problems: Surface Area and Volume. Solve word problems about the volume of rectangular prisms. 12.4 Real-World Problems: Surface Area and Volume Lesson Objective Solve problems involving surface area and volume of prisms. Learn Solve word problems about the volume of rectangular prisms. A rectangular

More information

February 07, Dimensional Geometry Notebook.notebook. Glossary & Standards. Prisms and Cylinders. Return to Table of Contents

February 07, Dimensional Geometry Notebook.notebook. Glossary & Standards. Prisms and Cylinders. Return to Table of Contents Prisms and Cylinders Glossary & Standards Return to Table of Contents 1 Polyhedrons 3-Dimensional Solids A 3-D figure whose faces are all polygons Sort the figures into the appropriate side. 2. Sides are

More information

422 UNIT 12 SOLID FIGURES. The volume of an engine s cylinders affects its power.

422 UNIT 12 SOLID FIGURES. The volume of an engine s cylinders affects its power. UNIT 12 Solid Figures The volume of an engine s cylinders affects its power. 422 UNIT 12 SOLID FIGURES Gas-powered engines are driven by little explosions that move pistons up and down in cylinders. When

More information

Name: Period 3/23/12 4/12/12 Pre-AP

Name: Period 3/23/12 4/12/12 Pre-AP Name: Period 3/23/12 4/12/12 Pre-AP UNIT 14: SOLIDS I can define, identify and illustrate the following terms: Face Edge Vertex Cross section Prism Height Surface area Lateral surface area Net Volume Scale

More information

3 Dimensional Geometry Chapter Questions. 1. What are the differences between prisms and pyramids? Cylinders and cones?

3 Dimensional Geometry Chapter Questions. 1. What are the differences between prisms and pyramids? Cylinders and cones? 3 Dimensional Geometry Chapter Questions 1. What are the differences between prisms and pyramids? Cylinders and cones? 2. What is volume and how is it found? 3. How are the volumes of cylinders, cones

More information

Concept Fifth Grade: Third Nine Weeks Readiness Standards Time Key Content Key Vocabulary

Concept Fifth Grade: Third Nine Weeks Readiness Standards Time Key Content Key Vocabulary Algebra: Expressions and Equations Concept Fifth Grade: Third Nine Weeks 14-15 Readiness Standards Time Key Content Key Vocabulary 5.4B Represent and solve multi-step problems involving the four operations

More information

GRADE 5. Operations & Algebraic Thinking - Domain

GRADE 5. Operations & Algebraic Thinking - Domain Write and interpret numerical expressions. CLUSTERS: 1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 2. Write simple expressions that record

More information

Free Response. Test A. 1. What is the estimated area of the figure?

Free Response. Test A. 1. What is the estimated area of the figure? Test A 1. What is the estimated area of the 6. An 8.5 in. by 11 in. sheet of paper is enlarged to make a poster by doubling its length and width. What is the new perimeter? 7. How does the area of a square

More information

2nd Semester Exam Review

2nd Semester Exam Review Geometry 2nd Semester Exam Review Name: Date: Per: Trig & Special Right Triangles 1. At a certain time of the day, a 30 meter high building cast a shadow that is 31 meters long. What is the angle of elevation

More information

CCM6+ Unit 12 Surface Area and Volume page 1 CCM6+ UNIT 12 Surface Area and Volume Name Teacher Kim Li

CCM6+ Unit 12 Surface Area and Volume page 1 CCM6+ UNIT 12 Surface Area and Volume Name Teacher Kim Li CCM6+ Unit 12 Surface Area and Volume page 1 CCM6+ UNIT 12 Surface Area and Volume Name Teacher Kim Li MAIN CONCEPTS Page(s) Unit 12 Vocabulary 2 3D Figures 3-8 Volume of Prisms 9-19 Surface Area 20-26

More information

Lesson 1 - Area Review Shape Words Formula

Lesson 1 - Area Review Shape Words Formula Lesson 1 - Area Review Shape Words Formula Rectangle The area A of a rectangle is the product of the length and the width w. A = w Parallelogram The area A of a parallelogram is the product of any base

More information

GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles

GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles Name: 6th Grade Math Unit 7 GEOMETRY 2012 10 17 www.njctl.org 1 Table of Contents Area of Rectangles Area of Parallelograms Area of Triangles Area of Trapezoids Mixed Review Area of Irregular Figures Area

More information

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D UNIT 9 2016-17 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME CCM6+7+ Name: Math Teacher: Projected Test Date: MAIN CONCEPT(S) PAGE(S) Vocabulary

More information

Math 10 C Measurement Unit

Math 10 C Measurement Unit Math 10 C Measurement Unit Name: Class: Date: ID: A Chapter Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which imperial unit is most appropriate

More information

UNIT 12. Volume and Surface Area CCM6+ Name: Math Teacher: Projected Test Date: Vocabulary 2. Basics of 3-D Figures 3 8

UNIT 12. Volume and Surface Area CCM6+ Name: Math Teacher: Projected Test Date: Vocabulary 2. Basics of 3-D Figures 3 8 UNIT 12 Volume and Surface Area 2016 2017 CCM6+ Name: Math Teacher: Projected Test Date: Main Concept(s) Page(s) Vocabulary 2 Basics of 3-D Figures 3 8 Volume of Rectangular Prisms and Finding Missing

More information

Geometry EOC FSA Mathematics Reference Sheet

Geometry EOC FSA Mathematics Reference Sheet Geometry EOC FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile = 1,760 yards 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1

More information

12-4 Volumes of Prisms and Cylinders. Find the volume of each prism.

12-4 Volumes of Prisms and Cylinders. Find the volume of each prism. Find the volume of each prism. 3. the oblique rectangular prism shown at the right 1. The volume V of a prism is V = Bh, where B is the area of a base and h is the height of the prism. If two solids have

More information

Sample Questions from Ga. Department of Education

Sample Questions from Ga. Department of Education Strand: Measurements & Geometry Sample Questions from Ga. Department of Education Name: Concept 1 (M18 M21): Measurements (including metric) Estimates measures in both customary and metric systems. 1.

More information

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D. Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D. Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D UNIT 9 2015-16 Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume CCM6+7+ Name: Math Teacher: Projected Test Date: MAIN CONCEPT(S) PAGE(S)

More information

9.1. Perimeter & Circumference. For this Challenge Activity, you will need to see your teacher. Measurement & Geometry

9.1. Perimeter & Circumference. For this Challenge Activity, you will need to see your teacher. Measurement & Geometry Perimeter & Circumference 9.1 Find the perimeter of each polygon. Find the perimeter of each rectangle. Find the circumference of each circle to the nearest tenth. Use 3.14 or 22 7 for. 7. 8. 9. Use 22

More information

Polygons. 5 sides 5 angles. pentagon. Name

Polygons. 5 sides 5 angles. pentagon. Name Lesson 11.1 Reteach Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number

More information

MODULE 18 VOLUME FORMULAS

MODULE 18 VOLUME FORMULAS MODULE 18 VOLUME FORMULAS Objectives Use formulas routinely for finding the perimeter and area of basic prisms, pyramids, cylinders, cones, and spheres. Vocabulary: Volume, right vs oblique Assignments:

More information

5TH GRADE COMMON CORE VOCABULARY M-Z

5TH GRADE COMMON CORE VOCABULARY M-Z o o o. 5TH GRADE COMMON CORE VOCABULARY M-Z mass mass mass The amount of matter in an object. Usually measured by comparing with an object of known mass. While gravity influences weight, it does not affect

More information

Write down a formula for the surface area of a Prism and a Cylinder

Write down a formula for the surface area of a Prism and a Cylinder Write down a formula for the surface area of a Prism and a Cylinder Quiz Thursday Naming Figures Cross Sections Nets Lateral Area, Surface Area Prisms and cylinders have 2 congruent parallel bases. A lateral

More information

Surface Area and Volume

Surface Area and Volume 8 Surface Area and Volume 8. Three-Dimensional Figures 8. Surface Areas of Prisms 8. Surface Areas of Pyramids 8. Volumes of Rectangular Prisms I petitioned my owner for a doghouse with greater volume.

More information

Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors

Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors Date Name of Lesson 1.6 Two-Dimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons

More information

9 Find the area of the figure. Round to the. 11 Find the area of the figure. Round to the

9 Find the area of the figure. Round to the. 11 Find the area of the figure. Round to the Name: Period: Date: Show all work for full credit. Provide exact answers and decimal (rounded to nearest tenth, unless instructed differently). Ch 11 Retake Test Review 1 Find the area of a regular octagon

More information

Ready To Go On? Skills Intervention 10-1 Solid Geometry

Ready To Go On? Skills Intervention 10-1 Solid Geometry 10A Find these vocabulary words in Lesson 10-1 and the Multilingual Glossary. Vocabulary Ready To Go On? Skills Intervention 10-1 Solid Geometry face edge vertex prism cylinder pyramid cone cube net cross

More information

Geometry: Notes

Geometry: Notes Geometry: 11.5-11.8 Notes NAME 11.5 Volumes of Prisms and Cylinders Date: Define Vocabulary: volume Cavalieri s Principle density similar solids Examples: Finding Volumes of Prisms 1 Examples: Finding

More information

The Geometry of Solids

The Geometry of Solids CONDENSED LESSON 10.1 The Geometry of Solids In this lesson you will Learn about polyhedrons, including prisms and pyramids Learn about solids with curved surfaces, including cylinders, cones, and spheres

More information

Geometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).

Geometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what

More information

Study Guide and Review

Study Guide and Review State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. Euclidean geometry deals with a system of points, great circles (lines), and spheres (planes). false,

More information

THIRD TERM EXAM REVISION WORKSHEET AY Grade 5 Mathematics ` SECTION A: VOCABULARY. Line graph origin ordered pair prism milliliter

THIRD TERM EXAM REVISION WORKSHEET AY Grade 5 Mathematics ` SECTION A: VOCABULARY. Line graph origin ordered pair prism milliliter THIRD TERM EXAM REVISION WORKSHEET AY 2015-2016 Grade 5 Mathematics ` Name: Section: SECTION A: VOCABULARY Choose the best term from the box. Line graph origin ordered pair prism milliliter Milligram polyhedron

More information

12-3 Surface Areas of Pyramids and Cones

12-3 Surface Areas of Pyramids and Cones 18. MOUNTAINS A conical mountain has a radius of 1.6 kilometers and a height of 0.5 kilometer. What is the lateral area of the mountain? The radius of the conical mountain is 1.6 kilometers and the height

More information

Grade 6: Geometry and Algebra. 1. Choose an appropriate customary unit for measuring the area of a classroom. B. Square Feet D.

Grade 6: Geometry and Algebra. 1. Choose an appropriate customary unit for measuring the area of a classroom. B. Square Feet D. 6.8.1 Name Grade 6: Geometry and Algebra 1. Choose an appropriate customary unit for measuring the area of a classroom. A. Cubic Feet C. Square Inches B. Square Feet D. Square Acres 2. What is the measure

More information

Volume. 4. A box in the shape of a cube has a volume of 64 cubic inches. What is the length of a side of the box? A in B. 16 in. C. 8 in D.

Volume. 4. A box in the shape of a cube has a volume of 64 cubic inches. What is the length of a side of the box? A in B. 16 in. C. 8 in D. Name: ate: 1. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and

More information

Geometry 2: 2D and 3D shapes Review

Geometry 2: 2D and 3D shapes Review Geometry 2: 2D and 3D shapes Review G-GPE.7 I can use the distance formula to compute perimeter and area of triangles and rectangles. Name Period Date 3. Find the area and perimeter of the triangle with

More information

CHAPTER 12. Extending Surface Area and Volume

CHAPTER 12. Extending Surface Area and Volume CHAPTER 12 Extending Surface Area and Volume 0 Learning Targets Students will be able to draw isometric views of three-dimensional figures. Students will be able to investigate cross-sections of three-dimensional

More information

CHAPTER. Daniel Nickerson Salisbury, NC. Three-Dimensional Figures 217

CHAPTER. Daniel Nickerson Salisbury, NC. Three-Dimensional Figures 217 CHAPTER 9 Three-Dimensional Figures Daniel Nickerson Salisbury, NC Three-Dimensional Figures 7 9. Three-Dimensional Figures Objective: to classify three-dimensional figures A solid is a three-dimensional

More information

Surface Area of Prisms 8.7.B

Surface Area of Prisms 8.7.B ? LESSON 10.1 ESSENTIAL QUESTION Surface Area of Prisms How do you find the surface area of a prism? Expressions, equations, and relationships make connections to the formulas for lateral and total surface

More information

Math Mealy Mountain Collegiate. Sample Midterm Exam. Name:

Math Mealy Mountain Collegiate. Sample Midterm Exam. Name: Math 2202 Mealy Mountain Collegiate Sample Midterm Exam Name: Formulas Square Rectangle A = s 2 A = l x w P 2l 2 w Triangle C 2 r A b h 2 Circle A r 2 C d or Cube Rectangle Prism SA = 6s 2 SA =2(l x w)+2(lxh)+2(wxh)

More information

Solid Figures. Name. 22 Topic 18. Reteaching Polyhedrons Prisms

Solid Figures. Name. 22 Topic 18. Reteaching Polyhedrons Prisms Solid Figures Polyhedrons Prisms Pyramids Reteaching 8- Properties of polyhedrons include vertices, edges, and faces, and base(s). Square Pyramid K Reteaching 8- Not Polyhedrons Cylinder Cone Sphere H

More information

C in. 2. D in Find the volume of a 7-inch tall drinking glass with a 4-inch diameter. C lateral faces. A in. 3 B in.

C in. 2. D in Find the volume of a 7-inch tall drinking glass with a 4-inch diameter. C lateral faces. A in. 3 B in. Standardized Test A For use after Chapter Multiple Choice. Which figure is a polyhedron? A B 7. Find the surface area of the regular pyramid. A 300 ft 2 B 340 ft 2 C 400 ft 2 C D D 700 ft 2 2. A polyhedron

More information

G-GMD.1- I can explain the formulas for volume of a cylinder, pyramid, and cone by using dissection, Cavalieri s, informal limit argument.

G-GMD.1- I can explain the formulas for volume of a cylinder, pyramid, and cone by using dissection, Cavalieri s, informal limit argument. G.MG.2 I can use the concept of density in the process of modeling a situation. 1. Each side of a cube measures 3.9 centimeters. Its mass is 95.8 grams. Find the density of the cube. Round to the nearest

More information

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 #51-90 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes

More information

GRADE 5. Mathematics. Administered April 2018 RELEASED

GRADE 5. Mathematics. Administered April 2018 RELEASED STAAR State of Texas Assessments of Academic Readiness GRADE 5 Administered April 2018 RELEASED Copyright 2018, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work

More information

Practice A Perimeter and Area of Rectangles and Parallelograms

Practice A Perimeter and Area of Rectangles and Parallelograms 8-1 Practice A Perimeter and Area of Rectangles and Parallelograms Find the perimeter of each figure. 1. 5 ft 2. 3. 13 cm 4 ft 6 cm 3x in. 10x in. 18 ft 38 cm 26x in. Graph and find the area of each figure

More information

FSA Mathematics Practice Test Questions

FSA Mathematics Practice Test Questions Geometry FSA Mathematics Practice Test Questions The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,

More information

Unit 5. Area & Volume. Area Composite Area Surface Area Volume. Math 6 Unit 5 Calendar 1/14 1/15 1/16 1/17 1/18. Name: Math Teacher:

Unit 5. Area & Volume. Area Composite Area Surface Area Volume. Math 6 Unit 5 Calendar 1/14 1/15 1/16 1/17 1/18. Name: Math Teacher: Math 6 Unit 5 Calendar 1/14 1/15 1/16 1/17 1/18 Name: Unit 5 Area & Volume Area Composite Area Surface Area Volume Review Or Computer Lab Unit 5 Test Or Computer Lab Unit 5 Test Or Computer Lab Unit 5

More information

Unit 8 Syllabus: Surface Area & Volume

Unit 8 Syllabus: Surface Area & Volume Date Period Day Unit 8 Syllabus: Surface Area & Volume Topic 1 Space Figures and Cross Sections Surface Area and Volume of Spheres 3 Surface Area of Prisms and Cylinders Surface Area of Pyramids and Cones

More information

Pre-Algebra Notes Unit 10: Geometric Figures & Their Properties; Volume

Pre-Algebra Notes Unit 10: Geometric Figures & Their Properties; Volume Pre-Algebra Notes Unit 0: Geometric Figures & Their Properties; Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (4.6) The student will validate conclusions about geometric figures and

More information

Unit E Geometry Unit Review Packet

Unit E Geometry Unit Review Packet Unit E Geometry Unit Review Packet Name Directions: Do ALL (A) Questions. Check Your Answers to (A) Questions. If ALL (A) Questions are correct, skip (B) Questions and move onto next I can statement. If

More information

Fraction Kit Manipulatives

Fraction Kit Manipulatives Fraction Kit Manipulatives Use the fraction kit manipulatives to have the students compare fractions, order fractions, find equivalent fractions, add and subtract fractions, and multiply fractions by whole

More information

Number and Number Sense

Number and Number Sense Number and Number Sense First Second Third Fourth Sixth Eighth Number model, count, more than, fewer than, ordinal numbers. fractions Number Model, Count, More than, Fewer than, Ordinal Numbers. Fractions,

More information

5th Grade. Measurement & Data.

5th Grade. Measurement & Data. 1 5th Grade Measurement & Data 2015 11 23 www.njctl.org 2 Table of Contents click on the topic to go to that section Standard Measurement Conversions Metric Measurement Conversions Unit Cubes Volume of

More information

Understand the concept of volume M.TE Build solids with unit cubes and state their volumes.

Understand the concept of volume M.TE Build solids with unit cubes and state their volumes. Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships - Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,

More information

Finding Surface Areas and Volumes of Composite Solids

Finding Surface Areas and Volumes of Composite Solids Finding Surface Areas and Volumes of Composite Solids Recall that the perimeter of a two-dimensional composite figure is the sum of the perimeters of the shapes that make up the figure, minus the lengths

More information

X axis Y axis * Volume * Other words < > * Prime * Plot Surface area * population Composite Congruent * Lenth, width, height Interpret

X axis Y axis * Volume * Other words < > * Prime * Plot Surface area * population Composite Congruent * Lenth, width, height Interpret table G6 words to know (*= must know! Bold= charades) Number sense: Number sense Patterns Geometry Measurement Data/probability Integer* Variable * Triangles Perimeter* Mean * Exponent Evaluate * Acute,

More information

The Next Step. Mathematics Applications for Adults. Book Measurement

The Next Step. Mathematics Applications for Adults. Book Measurement The Next Step Mathematics Applications for Adults Book 14019 Measurement OUTLINE Mathematics - Book 14019 Measurement The Metric System use correct metric units to measure length, volume, capacity, mass,

More information

Lesson 14.1 Skills Practice

Lesson 14.1 Skills Practice Lesson 14.1 Skills Practice Name Date Cut, Fold, and Voila! Nets Vocabulary Define each term in your own words. 1. geometric solids 2. net 3. prototype 4. edge 5. face 6. vertex Problem Set Sketch and

More information

Houston County School System Mathematics

Houston County School System Mathematics Student Name: Teacher Name: Grade: 6th Unit #: 5 Unit Title: Area and Volume Approximate Start Date of Unit: Approximate End Date (and Test Date) of Unit: The following Statements and examples show the

More information

North Adams Public Schools

North Adams Public Schools Unit 1: Place Value and Multi-Digit Addition and Subtraction Place value drawings to represent numbers. Place value drawings to add and subtract whole numbers. Different methods to add and subtract whole

More information

Warren County Public Schools 6 th Grade Math KCC 4.1 Unit Title Program of Studies Core Content 4.1 I Can Targets Critical Resources Vocabulary

Warren County Public Schools 6 th Grade Math KCC 4.1 Unit Title Program of Studies Core Content 4.1 I Can Targets Critical Resources Vocabulary Estimation Algebraic Thinking Problem Solving These skills should be embedded throughout each unit. MA-6-NPO-S-E2 estimate large and small quantities of objects. MA-6-NPO-S-E1 estimate and mentally compute

More information

Pre-Algebra, Unit 10: Measurement, Area, and Volume Notes

Pre-Algebra, Unit 10: Measurement, Area, and Volume Notes Pre-Algebra, Unit 0: Measurement, Area, and Volume Notes Triangles, Quadrilaterals, and Polygons Objective: (4.6) The student will classify polygons. Take this opportunity to review vocabulary and previous

More information

Groveport Madison Local School District Second Grade Math Content Standards Planning Sheets

Groveport Madison Local School District Second Grade Math Content Standards Planning Sheets Standard: Measurement A. Explain the need for standard units of measure. B. Select appropriate units for length, weight, volume (capacity) and time, using: objects; i.e., non-standard units Second Grade

More information

Vocabulary. Term Page Definition Clarifying Example. cone. cube. cylinder. edge of a threedimensional. figure. face of a polyhedron.

Vocabulary. Term Page Definition Clarifying Example. cone. cube. cylinder. edge of a threedimensional. figure. face of a polyhedron. CHAPTER 10 Vocabulary The table contains important vocabulary terms from Chapter 10. As you work through the chapter, fill in the page number, definition, and a clarifying example. cone Term Page Definition

More information

9 ft. 10 cm. 8 ft. 9 cm. 17 cm. 10 cm. 8 cm. 15 cm. 18 m 16 m. 14 m. Geometry: Homework Problems. Rectangles & Parallelograms

9 ft. 10 cm. 8 ft. 9 cm. 17 cm. 10 cm. 8 cm. 15 cm. 18 m 16 m. 14 m. Geometry: Homework Problems. Rectangles & Parallelograms Geometry: Homework Problems Rectangles & Parallelograms Homework Find the area of each figure. 11. 9 ft 15. 8 ft 10 cm 9 cm 17 cm 12. 14 mm 16. The length of a rectangle is 17 m and the width is 5.25 m.

More information

Lesson 10 ~ Three-Dimensional Figures

Lesson 10 ~ Three-Dimensional Figures Lesson 10 ~ Three-Dimensional Figures Name a solid that fits each description. 1. a can of beans 2. a shoe box 3. a pyramid with five lateral faces 4. a solid with six vertices 5. a prism with bases shaped

More information

Concept Fifth Grade: Third Nine Weeks *Revised 6/1/15. Time Key Content Key Vocabulary

Concept Fifth Grade: Third Nine Weeks *Revised 6/1/15. Time Key Content Key Vocabulary Algebra: Expressions and Equations Concept Fifth Grade: Third Nine Weeks 2015-2016 *Revised 6/1/15 Cumulative Review Time Key Content Key Vocabulary 1 week Review first semester material especially positive

More information

CHAPTER 12. Extending Surface Area and Volume

CHAPTER 12. Extending Surface Area and Volume CHAPTER 12 Extending Surface Area and Volume 0 1 Learning Targets Students will be able to draw isometric views of three-dimensional figures. Students will be able to investigate cross-sections of three-dimensional

More information

Area of Regular Polygons

Area of Regular Polygons Area of Regular Polygons Name:_ Find the area of each regular polygon. Leave your answer in simplest (radical) form. If your answer does not have a radical form, then round to the nearest tenth. 8 14.4

More information

Math Summer Packet For. Students Entering 6 th Grade

Math Summer Packet For. Students Entering 6 th Grade Name: Period: Math Summer Packet For Students Entering 6 th Grade Doral Academy Prep School Math Department Dear Parents and Students, We are assigning this work in an effort to prepare our students for

More information