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

Size: px
Start display at page:

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

Transcription

1 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 change when the side length is multiplied by 5? 2. A rectangle has a length of 6 in. and a width of 3 in. What is its area? 3. A triangle has a base of 8 ft and a height of 5 ft. What is its area? 4. What is the area of the trapezoid? 8. What is the estimated area of a circle with a radius of 2 cm? 9. What is the area of a circle with a radius of 4 cm? Use 3.14 for π. 5. What is the area of the polygon? 197 Holt McDougal Mathematics

2 Test A, continued. What type of figure is this? 13. What is the volume of this cylinder to the nearest cubic unit? Use 3.14 for π. 11. What is the volume of a rectangular prism with side lengths 5 cm, 5 cm, and cm? 14. What is the surface area of this 12. What is the volume of this triangular prism? 15. What is the surface area of a cylinder with a diameter of cm and a height of 4 cm? Use 3.14 for π. 198 Holt McDougal Mathematics

3 Test B 1. What is the estimated area of the 5. What is the area of the polygon? 2. A rectangle has a length of 9 cm and a width of 12 cm. What is its area? 3. What is the area of the triangle? 6. A 9 in. by 12 in. photo is reduced by dividing the length and width by 3. What is the new perimeter? 7. How does the area of a square change when the side length is doubled? 8. What is the estimated area of a circle with a radius of 3 cm? 4. What is the area of the trapezoid? 9. What is the area of a circle with a radius of 3.8 cm? Use 3.14 for π and round to the nearest tenth.. What type of figure is this? 199 Holt McDougal Mathematics

4 Test B, continued 11. What is the volume of a rectangular prism with side lengths 9 cm, 8.5 cm, and 7 cm? 14. What is the surface area of this 12. What is the volume of this triangular prism? 15. What is the surface area of a cylinder with a radius of 4 in. and a height of 5 in.? Use 3.14 for π. 13. What is the volume of this cylinder? Use 3.14 for π. 200 Holt McDougal Mathematics

5 Test C 1. What is the estimated area of the 5. What is the area of the polygon? 2. A rectangle has a length of 23 cm and a width of 14 cm. What is its area? 3. A triangle has a base of 24 yd and a height of yd. What is its area? 6. A 7 in. by 9 in. scale model of a table is enlarged by a factor of 9 to make the actual table. What is the new perimeter? 7. A photo is enlarged by multiplying the length and width by 20 to make a billboard. How does the area change? 8. What is the estimated area of a circle with a radius of 14 m? 4. What is the area of the trapezoid? 9. What is the area of a circle with a radius of 5.68 cm? Use 3.14 for π and round to the nearest tenth of a square centimeter. 201 Holt McDougal Mathematics

6 Test C, continued. What type of figure is this? 13. What is the combined volume for these cylinders? Use 3.14 for π and round to the nearest cubic meter. 11. What is the volume of this figure with a hole? 14. What is the surface area of this 12. What is the volume of the trapezoidal prism shown below? 15. What is the surface area of a cylinder with a diameter of 12.9 cm and a height of 8.4 cm? Use 3.14 for π and round to the nearest tenth of a square centimeter. 202 Holt McDougal Mathematics

7 Chapter Multiple Choice Test A 1. B 2. B 3. A 4. B 5. B 6. D 7. C 8. B 9. A. D 11. D 12. A 13. B 14. C 15. B Chapter Multiple Choice Test B 1. B 2. J 3. B 4. H 5. C 6. G 7. D 8. H 9. D. F 11. D 12. F 13. C 14. H 15. D Chapter Multiple Choice Test C 1. B 2. J 3. C 4. H 5. C 6. F 7. D 8. H 9. C. J 11. D 12. H 13. D 14. H 15. D Chapter Test A 1. approximately 12 cm in ft m m in. 7. It increases by a factor of about 12 cm cm 2. pentagonal prism cm cm in cm cm 2 Chapter Test B 1. approximately 11 cm cm cm yd in in. 7. The area is quadrupled cm cm 2. triangular pyramid cm 3 Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 305 Holt McDougal Mathematics

8 cm yd cm in 2 Chapter Test C 1. approximately 21 cm cm yd m , m in. (24 ft) 7. It increases by a factor of about 600 m cm 2. hexagonal pyramid 11. 5,120 m ,872 m ,421 m m m 2 Chapter Performance Assessment 1. 11,016 ft 3 2. A = πr ft 2 ; C ft 3. S = s ( 1 2 bh) = ( ) = = = 65 ft 2 4. The perimeter will be half of what it was and the area will be one-fourth of what it was. Chapter Cumulative Test 1. B 2. J 3. C 4. J 5. B 6. J 7. C 8. H 9. B. H 11. C 12. H 13. B 14. F 15. D 16. H 17. C 18. G 19. C 20. J 21. B 22. G 23. B 24. G 25. A 26. G 27. D 28. F 29. D 30. G 31. C 32. F 33. B 34. G 35. B 36. H 37. B 38. J 39. C 40. F 41. B 42. J 43. D 44. G Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 306 Holt McDougal Mathematics

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

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

Surface Area and Volume

Surface Area and Volume Surface Area and Volume Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as the amount of paper you ll need to wrap the shape.)

More information

Geometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can.

Geometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can. Geometry Review Chapter 10: Volume PA Anchors: A; B2; C1 1. Name the geometric solid suggested by a frozen juice can. 2. Name the geometric solid suggested by a beach ball.. Name the geometric solid suggested

More information

11.6 Start Thinking Warm Up Cumulative Review Warm Up

11.6 Start Thinking Warm Up Cumulative Review Warm Up 11.6 Start Thinking The diagrams show a cube and a pyramid. Each has a square base with an area of 25 square inches and a height of 5 inches. How do the volumes of the two figures compare? Eplain your

More information

TEST REVIEW: UNIT 8 Surface Area 2018

TEST REVIEW: UNIT 8 Surface Area 2018 Class: Date: TEST REVIEW: UNIT 8 Surface Area 2018 Find the area. The figure is not drawn to scale. 1. 5. Find the area. All lengths are in centimeters. Round answer to the nearest tenth. 2. 6. A can of

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

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 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

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

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

Chapter Test Form A. 173 Holt Geometry. Name Date Class. 1. Find the area of the triangle.

Chapter Test Form A. 173 Holt Geometry. Name Date Class. 1. Find the area of the triangle. Form A 1. Find the area of the triangle. 6. A square has a perimeter of 8 inches. Find the area of the square. cm 7. Find the circumference of C in terms of.. Find the area of the parallelogram. 11 cm

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

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

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

Mr. Whelan Name: Block:

Mr. Whelan Name: Block: Mr. Whelan Name: Block: Geometry/Trig Unit 10 Area and Volume of Solids Notes Packet Day 1 Notes - Prisms Rectangular Prism: How do we find Total Area? Example 1 6cm Find the area of each face: Front:

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

Sect Volume. 3 ft. 2 ft. 5 ft

Sect Volume. 3 ft. 2 ft. 5 ft 199 Sect 8.5 - Volume Objective a & b: Understanding Volume of Various Solids The Volume is the amount of space a three dimensional object occupies. Volume is measured in cubic units such as in or cm.

More information

Chapter 7 Connect Algebra to Geometry

Chapter 7 Connect Algebra to Geometry Lesson 7-1 Volume of Cylinders Page 79 Determine the volume of the cylinder. Round to the nearest tenth. V Bh V (π r ) h Volume of a cylinder The base is a circle. V π() (5) Replace r with and h with 5.

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

Math 8: Identify Shapes and Surface Area

Math 8: Identify Shapes and Surface Area Name: Class: Date: Math 8: Identify Shapes and Surface Area 1. Name the solid according to its description: The figure has one base that is a rectangle and four lateral surfaces that are triangles. 2.

More information

Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm.

Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm. Page 1 of 17 Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm. Page 1 of 17 Page 2 of 17 2. A regular hexagon

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

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

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

Practice Test Unit 8. Note: this page will not be available to you for the test. Memorize it!

Practice Test Unit 8. Note: this page will not be available to you for the test. Memorize it! Geometry Practice Test Unit 8 Name Period: Note: this page will not be available to you for the test. Memorize it! Trigonometric Functions (p. 53 of the Geometry Handbook, version 2.1) SOH CAH TOA sin

More information

Chapter Test A For use after Chapter 12

Chapter Test A For use after Chapter 12 Chapter Test A For use after Chapter Tell whether the solid is a polyhedron. If it is, find the number of faces, vertices, and edges.. 2. 3.. Determine whether the polyhedron is regular and/or conve. 2.

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

Geometry 10 and 11 Notes

Geometry 10 and 11 Notes Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into

More information

Lesson 6 Reteach. Perimeter of the base = 14. S. A. = area of the 2 bases + lateral area = = 52 m^.

Lesson 6 Reteach. Perimeter of the base = 14. S. A. = area of the 2 bases + lateral area = = 52 m^. Lesson 6 Reteach Surface Area of Prisms The sum of the areas of all the surfaces, or faces, of a three-dimensional shape is the surface area. Find the surface area of the rectangular prism. The area of

More information

Lesson 3: Definition and Properties of Volume for Prisms and Cylinders

Lesson 3: Definition and Properties of Volume for Prisms and Cylinders : Definition and Properties of Volume for Prisms and Cylinders Learning Targets I can describe the properties of volume. I can find the volume of any prism and cylinder using the formula Area of Base Height.

More information

Unit 4 End-of-Unit Assessment Study Guide

Unit 4 End-of-Unit Assessment Study Guide Circles Unit 4 End-of-Unit Assessment Study Guide Definitions Radius (r) = distance from the center of a circle to the circle s edge Diameter (d) = distance across a circle, from edge to edge, through

More information

Perimeter, Area, Surface Area, & Volume

Perimeter, Area, Surface Area, & Volume Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions) Generation Date: 11/25/2009 Generated By: Margaret Buell Copyright 2009

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

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

3D Object Unit Review

3D Object Unit Review Name: Class: Date: ID: A 3D Object Unit Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A rectangular prism has a volume of 3x 2 + 18x + 24. Its

More information

Geometry Surface Area & Volume of Prisms & Cylinders.

Geometry Surface Area & Volume of Prisms & Cylinders. Geometry 11.5 Surface Area & Volume of Prisms & Cylinders mbhaub@mpsaz.org 11.5 Essential Question How do you find the surface area and volume of a prism or cylinder? Geometry 12.2 Surface Area of Prisms

More information

Lesson 6 Reteach. Surface Area of Prisms. Example. Exercises. 232 in^ tt^^ Find the surface area of the rectangular prism.

Lesson 6 Reteach. Surface Area of Prisms. Example. Exercises. 232 in^ tt^^ Find the surface area of the rectangular prism. Lesson 6 Reteach Surface Area of Prisms T h e s u m of the areas of all the surfaces, or faces, of a three-dimensional shape is the surface area. T h e surface area of a rectangular prism with length f,

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

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

HS Pre-Algebra Notes Unit 10: Measurement, Area, and Volume HS Pre-Algebra Notes Unit 0: Measurement, Area, and Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (5.6) The student will classify polygons. (5.5) The student will validate conclusions

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

PYRAMIDS AND CONES WHAT YOU LL LEARN. Ø Finding the surface areas and volume of pyramids Ø Finding the surface areas and volume of cones

PYRAMIDS AND CONES WHAT YOU LL LEARN. Ø Finding the surface areas and volume of pyramids Ø Finding the surface areas and volume of cones PYRAMIDS AND CONES A pyramid is a solid with a polygonal base and triangular lateral faces that meet at a vertex. In this lesson, you will work with regular pyramids. The base of a regular pyramid is a

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

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

10.1 Prisms and Pyramids

10.1 Prisms and Pyramids AreasandVolumesofprismsandpyramids20052006.nb 0. Prisms and Pyramids We have already learned to calculate the areas of plane figures. In this chapter we will be calculating the surface areas and volumes

More information

Skills Practice Skills Practice for Lesson 2.1

Skills Practice Skills Practice for Lesson 2.1 Skills Practice Skills Practice for Lesson.1 Name Date Backyard Barbecue Introduction to Volume and Surface Area Vocabulary Write the term from the box that best completes each statement. surface area

More information

Calculate the area of each figure. Each square on the grid represents a square that is one meter long and one meter wide.

Calculate the area of each figure. Each square on the grid represents a square that is one meter long and one meter wide. CH 3 Test Review Boundary Lines: Area of Parallelograms and Triangles Calculate the area of each figure Each square on the grid represents a square that is one meter long and one meter wide 1 You are making

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

Geometry--Unit 10 Study Guide

Geometry--Unit 10 Study Guide Class: Date: Geometry--Unit 10 Study Guide Determine whether each statement is true or false. If false, give a counterexample. 1. Two different great circles will intersect in exactly one point. A) True

More information

Volume of Prisms and Cylinders

Volume of Prisms and Cylinders Volume of Prisms and Cylinders Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit

More information

Vocabulary. Triangular pyramid Square pyramid Oblique square pyramid Pentagonal pyramid Hexagonal Pyramid

Vocabulary. Triangular pyramid Square pyramid Oblique square pyramid Pentagonal pyramid Hexagonal Pyramid CP1 Math 2 Unit 8: S.A., Volume, Trigonometry: Day 7 Name Surface Area Objectives: Define important vocabulary for 3-dimensional figures Find the surface area for various prisms Generalize a formula for

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

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

Reteaching. Solids. These three-dimensional figures are space figures, or solids. A cylinder has two congruent circular bases.

Reteaching. Solids. These three-dimensional figures are space figures, or solids. A cylinder has two congruent circular bases. 9- Solids These three-dimensional figures are space figures, or solids A B C D cylinder cone prism pyramid A cylinder has two congruent circular bases AB is a radius A cone has one circular base CD is

More information

MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions

MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions [Exam ID:2YBSPT 1 What is the volume of a cube with a length of 8 inches? A 96 in 3 B 256 in 3 C 512 in 3 D 384 in

More information

Study Guide and Intervention

Study Guide and Intervention NAME DATE PERIOD Study Guide and Intervention Volume of Rectangular Prisms The volume of a solid is the measure of space occupied by it. It is measured in cubic units such as cubic centimeters (cm 3 )

More information

Geometry SOL G.13 G.14 Area, Surface Area, Volume Study Guide

Geometry SOL G.13 G.14 Area, Surface Area, Volume Study Guide Geometry SOL G.13 G.14 Area, Surface Area, Volume Study Guide Name Date Block Area, Surface Area, Volume Review and Study Guide You may use the SOL formula sheet but you must bring your own copy. Know

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

Unit 3 Surface Area and Volume

Unit 3 Surface Area and Volume Name: 3.1 Areas of 2D Figures 3.2 Surface Areas of Prisms and Pyramids 3.3 Surface Areas of Cylinders, Cones and Spheres 3.4 Volumes of Prisms and Pyramids 3.5 Volumes of Cylinders, Cones and Spheres 3.1

More information

3.1 Deepening Understandings of Volume Parts 1_2.notebook. September 05, 2018 M Jun 27 10:28 AM

3.1 Deepening Understandings of Volume Parts 1_2.notebook. September 05, 2018 M Jun 27 10:28 AM M1 115 Jun 27 10:28 AM 1 Learning Targets Jun 20 10:53 AM 2 9/4 /18 # Glue pages 1 & 2 into notebook M1: 3.1 Deepening Understanding of Volume Essential Question: How can you use what you know to calculate

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

NAME DATE PER. GEOMETRY PRE-AP SPRING FINAL EXAM REVIEW LAW OF SINES & COSINES

NAME DATE PER. GEOMETRY PRE-AP SPRING FINAL EXAM REVIEW LAW OF SINES & COSINES NME TE PER. GEOMETRY PRE-P SPRING INL EXM REVIEW LW O SINES & OSINES 1.Solve the triangle if = 15, = 113, side b = 49. m = Round answers to the nearest whole number. a = b = Law of = 2. Would you use Law

More information

Lesson 9. Three-Dimensional Geometry

Lesson 9. Three-Dimensional Geometry Lesson 9 Three-Dimensional Geometry 1 Planes A plane is a flat surface (think tabletop) that extends forever in all directions. It is a two-dimensional figure. Three non-collinear points determine a plane.

More information

Determine the surface area of the following square-based pyramid. Determine the volume of the following triangular prism. ) + 9.

Determine the surface area of the following square-based pyramid. Determine the volume of the following triangular prism. ) + 9. MPM 1D Name: Unit: Measurement Date: Calculating and of Three Dimensional Figures Use the Formula Sheet attached to help you to answer each of the following questions. Three problems are worked out for

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

Geometry Chapter 11 Review. 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of.

Geometry Chapter 11 Review. 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of. Geometry hapter 11 Review Name: ate: 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of. 206 in. 2 ; 192 in. 3 208 in. 2 ; 192 in. 3 212 in. 2 ; 194 in.

More information

Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals

Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals 9A Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals Finding Measurements of Parallelograms Find each measurement. A. the area of the parallelogram A b Use the

More information

Geometry Honors Unit 11 Day 1 HW. 1. Name each polygon by its numbah of sides. Then classify it as convex or concave and regular or irregular.

Geometry Honors Unit 11 Day 1 HW. 1. Name each polygon by its numbah of sides. Then classify it as convex or concave and regular or irregular. Geometry Honors Unit 11 Day 1 HW Name: Date: 61-64; 11-21o 1. Name each polygon by its numbah of sides. Then classify it as convex or concave and regular or irregular. 2. Find the perimeter and area of

More information

Area. Domain 4 Lesson 25. Getting the Idea

Area. Domain 4 Lesson 25. Getting the Idea Domain 4 Lesson 5 Area Common Core Standard: 7.G.6 Getting the Idea The area of a figure is the number of square units inside the figure. Below are some formulas that can be used to find the areas of common

More information

State if each pair of triangles is similar. If so, state how you know they are similar (AA, SAS, SSS) and complete the similarity statement.

State if each pair of triangles is similar. If so, state how you know they are similar (AA, SAS, SSS) and complete the similarity statement. Geometry 1-2 est #7 Review Name Date Period State if each pair of triangles is similar. If so, state how you know they are similar (AA, SAS, SSS) and complete the similarity statement. 1) Q R 2) V F H

More information

Chapter 8 Review. 1. Find both the perimeter and the area 2. Find both the perimeter and the area

Chapter 8 Review. 1. Find both the perimeter and the area 2. Find both the perimeter and the area Name: Block: 8a. Find the perimeter and the area of polygons. 1. Find both the perimeter and the area 2. Find both the perimeter and the area of parallelogram QRST. (Don t forget UNITS!) of rectangle JKLM.

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

Section 9.4. Volume and Surface Area. Copyright 2013, 2010, 2007, Pearson, Education, Inc.

Section 9.4. Volume and Surface Area. Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 9.4 Volume and Surface Area What You Will Learn Volume Surface Area 9.4-2 Volume Volume is the measure of the capacity of a three-dimensional figure. It is the amount of material you can put inside

More information

ACCELERATED MATHEMATICS CHAPTER 11 DIMENSIONAL GEOMETRY TOPICS COVERED:

ACCELERATED MATHEMATICS CHAPTER 11 DIMENSIONAL GEOMETRY TOPICS COVERED: 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 Accelerated

More information

Measurement Unit 2 Surface Area, Volume and 3-D Shapes

Measurement Unit 2 Surface Area, Volume and 3-D Shapes Warden Ave PS Measurement Unit 2 Surface Area, Volume and 3-D Shapes Mr. D. Leavitt Math LEARNING GOALS By the end of this unit, you should be able to: Identify and use the correct formula for calculating

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

Virginia Mathematics Checkpoint Assessment GEOMETRY G.14. Topic: Three-Dimensional Figures

Virginia Mathematics Checkpoint Assessment GEOMETRY G.14. Topic: Three-Dimensional Figures Virginia Mathematics Checkpoint Assessment GEOMETRY G.14 Topic: Three-Dimensional Figures Standards of Learning Blueprint Summary Reporting Category Geometry SOL Number of Items Reasoning, Lines, and G.1(a-d),

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

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

Practice Geometry Semester 2 Exam

Practice Geometry Semester 2 Exam Practice Geometry Semester 2 Exam Short Answer 1. Explain why the triangles are similar. Then find the value of x. 6 2 11 > > x The polygons are similar, but not necessarily drawn to scale. Find the values

More information

S8.6 Volume. Section 1. Surface area of cuboids: Q1. Work out the surface area of each cuboid shown below:

S8.6 Volume. Section 1. Surface area of cuboids: Q1. Work out the surface area of each cuboid shown below: Things to Learn (Key words, Notation & Formulae) Complete from your notes Radius- Diameter- Surface Area- Volume- Capacity- Prism- Cross-section- Surface area of a prism- Surface area of a cylinder- Volume

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

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

Volume of Spheres. A geometric plane passing through the center of a sphere divides it into. into the Northern Hemisphere and the Southern Hemisphere.

Volume of Spheres. A geometric plane passing through the center of a sphere divides it into. into the Northern Hemisphere and the Southern Hemisphere. 9.6 Surface Area and Volume of Spheres Goal Find surface areas and volumes of spheres. Key Words sphere hemisphere A globe is an example of a sphere. A sphere is the set of all points in space that are

More information

Measurement and Geometry: Area and Volume of Geometric Figures and Objects *

Measurement and Geometry: Area and Volume of Geometric Figures and Objects * OpenStax-CNX module: m35023 1 Measurement and Geometry: and Volume of Geometric Figures and Objects * Wade Ellis Denny Burzynski This work is produced by OpenStax-CNX and licensed under the Creative Commons

More information

Grades 7 & 8, Math Circles 20/21/22 February, D Geometry Solutions

Grades 7 & 8, Math Circles 20/21/22 February, D Geometry Solutions Faculty of Mathematics Waterloo, Ontario NL 3G1 Centre for Education in Mathematics and Computing D Geometry Review Grades 7 & 8, Math Circles 0/1/ February, 018 3D Geometry Solutions Two-dimensional shapes

More information

Chapter 10 Practice Test

Chapter 10 Practice Test Chapter 10 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the area. The figure is not drawn to scale. 7.6 cm 3.7 cm a. b. c. d. 2.

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

Fair Game Review. Chapter 9. Name Date. Find the area of the square or rectangle

Fair Game Review. Chapter 9. Name Date. Find the area of the square or rectangle Name Date Chapter 9 Fair Game Review Find the area of the square or rectangle. 1. 2. 8 cm 7 yd 8 cm 12 yd 3. 4. 9.2 in. 5 6 m 6.4 in. 5 6 m 5. 6. 1 1 3 mm 21.3 ft 2 1 3 mm 15.1 ft 7. An artist buys a square

More information

Description: the area of the all the sides. Find the lateral area of the regular hexagonal prism.

Description: the area of the all the sides. Find the lateral area of the regular hexagonal prism. T r i m e s t e r 3 - P a g e 37 Warm Up - Find the Area of the Regular Hexagon and Square. Surface Area of Prisms and Cylinders Name: Period: Essential Question: Lateral Area of a Prism Description: the

More information

Center of a sphere. Radius of a sphere. Chord of a sphere. Diameter of a sphere

Center of a sphere. Radius of a sphere. Chord of a sphere. Diameter of a sphere 12.6 Surface Area and Volume of Spheres Goal p Find surface areas and volumes of spheres. Your Notes VOCABULARY Sphere Center of a sphere Radius of a sphere Chord of a sphere Diameter of a sphere Tangent

More information

Notes: Geometry (6.G.1 4)

Notes: Geometry (6.G.1 4) Perimeter Add up all the sides (P =s + s + s...) Square A = side 2 A = S 2 Perimeter The distance around a polygon. Rectangle w s L A = Length x Width A = lw Parallelogram A = Base x Height A = h h Triangle

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

Vocabulary. Term Page Definition Clarifying Example. apothem. center of a circle. center of a regular polygon. central angle of a regular polygon

Vocabulary. Term Page Definition Clarifying Example. apothem. center of a circle. center of a regular polygon. central angle of a regular polygon CHAPTER 9 Vocabulary The table contains important vocabulary terms from Chapter 9. As you work through the chapter, fill in the page number, definition, and a clarifying example. apothem Term Page Definition

More information

GEOMETRY REVIEW PROBLEMS, Spring 2018

GEOMETRY REVIEW PROBLEMS, Spring 2018 GEOMETRY REVIEW PROBLEMS, Spring 2018 Solve problems, describe problems algebraically, and simplify numerical expressions. 1. R(-3, -2), M(-1, -8) 2. R(11, -5), M(4, -4) 3. A(5, -4), B(-45, 20) 4. A(-10,

More information

A plane that is to the base of the figure will create a cross section that is the same shape as the base.

A plane that is to the base of the figure will create a cross section that is the same shape as the base. Objective: 9.1 3 Notes: Surface Area of Solids Name Cross Sections: A cuts through a solid figure to create a cross section. Depending on the way in which the plane cuts through the figure will determine

More information

Measurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of

Measurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of Measurement 1 PYTHAGOREAN THEOREM Remember the Pythagorean Theorem: The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of the squares on the other two sides.

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

1.1 Metric Systems. Learning Target: to practice converting between different metric units. Main Ideas:

1.1 Metric Systems. Learning Target: to practice converting between different metric units. Main Ideas: 1.1 Metric Systems Learning Target: to practice converting between different metric units Formula sheet Multiplying and dividing fractions Definitions Metric System The International System of Units, abbreviated

More information

Area of Polygons And Circles

Area of Polygons And Circles Name: Date: Geometry 2011-2012 Area of Polygons And Circles Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the area and perimeter of Parallelograms and Triangles Pgs: 1-5 HW: Pgs: 6-7 DAY

More information