Topic 13 Practice Test. 1 Name the solid that has only one circular base. A B C D. 2 Which type of solid figure is shown? A B C D

Size: px
Start display at page:

Download "Topic 13 Practice Test. 1 Name the solid that has only one circular base. A B C D. 2 Which type of solid figure is shown? A B C D"

Transcription

1 Name: ate: 1 Name the solid that has only one circular base. prism cylinder cone pyramid 2 Which type of solid figure is shown? rectangular prism rectangular pyramid triangular pyramid triangular prism 3 How many faces does a triangular prism have? 3 faces 5 faces 6 faces 10 faces opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 25

2 4 Matt is making a cube out of pieces of wood. He wants to paint each face of the cube a different color. How many colors does he need if he puts a different color on each face? 7 colors 6 colors 5 colors 4 colors 5 Which solid figure does the object below resemble? Sphere ylinder Triangular prism one 6 How many faces does the object below have? 1 face 4 faces 6 faces 8 faces opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 2 of 25

3 7 Which of the following objects resembles a triangular prism? 8 May is making a pyramid out of a piece of wood in shop class. She wants to paint each face of the pyramid a different color. How many colors does she need if she puts a different color on each face? 6 colors 5 colors 4 colors 3 colors opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 3 of 25

4 9 Which type of solid figure is shown? rectangular prism rectangular pyramid triangular pyramid triangular prism 10 Which type of solid figure is shown? rectangular prism rectangular pyramid triangular pyramid triangular prism 11 How many faces does a rectangular prism have? 1 face 4 faces 6 faces 8 faces 12 How many faces does a rectangular prism have? 1 face 4 faces 6 faces 8 faces opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 4 of 25

5 13 What shape can be made from the net shown below? cone cylinder sphere triangular pyramid 14 What three-dimensional figure can be made with the net shown? cube rectangular pyramid triangular prism triangular pyramid 15 What three-dimensional figure can be made with the net shown? cube rectangular pyramid rectangular prism cylinder opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 25

6 16 Which solid figure can be formed from the net below? ylinder Pyramid Rectangular prism Sphere 17 What solid figure can be made from this net? cone cylinder rectangular prism sphere opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 25

7 18 Which figure can be folded to form a cube? 19 What solid figure can be made from this net? cone cylinder sphere triangular pyramid opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 7 of 25

8 20 What three-dimensional figure can be made with the net shown? rectangular prism rectangular pyramid triangular prism triangular pyramid 21 Use the net below to answer the question. What three-dimensional figure will the net make? one ylinder Sphere Rectangular prism opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 25

9 22 Use the net below to answer the question. Jerome makes the net out of construction paper. When he assembles it, how many faces will the figure have? 12 faces 8 faces 6 faces 5 faces 23 What is the surface area of the prism formed by the net shown below? 44 in 2 96 in in in 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 9 of 25

10 24 What is the surface area of the cereal box? 176 in in in in 2 25 What is the surface area of this rectangular prism? 792 cm cm cm cm 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 10 of 25

11 26 Jared unfolded a box as shown below. What is the surface area of the box? 55 cm 120 cm 172 cm 175 cm 27 What is the surface area of the prism formed by the net shown below? 48 in 2 96 in in in 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 11 of 25

12 28 What is the surface area of the ship container below? 72 m m m m 2 29 What is the surface area of the stereo speaker? 1152 in in in in 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 12 of 25

13 30 Ms. Jones wants to wrap a gift box, but she is not sure how much wrapping paper she will need. She decides to find the surface area of the box to help her decide. The gift box is shown below. What is the surface area of the box? 100 in in in in 2 31 Use the figure below to answer the question. What is the surface area of the rectangular prism? 36 in 2 72 in 2 84 in 2 96 in 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 13 of 25

14 32 Which is a side view of the solid figure below? 33 Which is the top view of the solid figure below? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 14 of 25

15 34 Which view of the solid figure is shown below? Front view Top view Side view ack view 35 Which of the following is the front view of the stack of unit blocks below? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 15 of 25

16 36 What is the top view of the solid figure below? 37 What is the side view of the solid figure below? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 16 of 25

17 38 Which is a side view of the solid figure below? 39 What is the volume of this stack of cubes? Volume = length width height 16 cubic units 36 cubic units 144 cubic units 168 cubic units opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 17 of 25

18 40 The Torre s new freezer came in a box similar to the one shown. What is the volume of the box? 108 cubic feet 72 cubic feet 24 cubic feet 13 cubic feet 41 What is the volume of the figure below? 27 yd 64 yd 408 yd 448 yd opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 18 of 25

19 42 diagram of the Watson s new storage bin is shown. What is the volume of the bin? 108 cubic feet 25 cubic feet 72 cubic feet 13 cubic feet 43 The aldwin s new freezer came in a box similar to the one shown. What is the volume of the box? 126 cubic feet 90 cubic feet 30 cubic feet 14 cubic feet 44 Use the figure below to answer the question. Ronika stacks unit blocks to make the rectangular prism. What is the volume of the prism? 8 units 3 12 units 3 20 units 3 24 units 3 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 19 of 25

20 45 What is the area of the figure? 24 square meters 48 square meters 72 square meters 96 square meters 46 What is the volume of the irregular solid below? 136 ft 176 ft 640 ft 1,920 ft opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 20 of 25

21 47 What is the area of the figure? 36 square inches 52 square inches 60 square inches 28 square inches 48 What is the area of the figure? 72 square feet 162 square feet 243 square feet 324 square feet opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 21 of 25

22 49 What is the area of the shape below? 46 ft ft ft ft 2 50 Sally used 8 cubes to make this square frame that has 3 cubes on each side. If she uses 20 cubes to make a square frame, how many cubes will be on each side of the frame? Think of using objects to help you solve this problem. 4 cubes 5 cubes 6 cubes 7 cubes 51 Rachel used 12 cubes to make this 3-step staircase. If she uses a total of 42 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem. 6 steps 7 steps 8 steps 9 steps opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 22 of 25

23 52 Mickey used 18 cubes to make this 3-step staircase. If he uses a total of 63 cubes to make a similar staircase, how many steps will the staircase have? 6 steps 10 steps 13 steps 19 steps 53 Roberto made the figures below from tiles. How many tiles will Roberto need for his seventh figure? 12 tiles 16 tiles 32 tiles 64 tiles opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 23 of 25

24 54 Hanna placed compact disc cases on the floor so that at least two sides of each case were touching other cases, as shown below. If Hanna placed cases in two rows, which number of cases would result in one case NOT touching two sides? 11 cases 12 cases 14 cases 16 cases 55 Jacob is using square tiles to make larger squares, such as the one shown below. Which of the following number of tiles cannot be used to make a square? 8 tiles 9 tiles 16 tiles 25 tiles opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 24 of 25

25 56 Sonia used 12 cubes to make this 3-step staircase. If she uses a total of 30 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem. 4 steps 5 steps 6 steps 7 steps opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 25 of 25

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

Surface Area and Volume

Surface Area and Volume Name: Chapter Date: Surface Area and Volume Practice 1 Building Solids Using Unit Cubes Find the number of unit cubes used to build each solid. Some of the cubes may be hidden. 1. 2. unit cubes 3. 4. unit

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

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

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

Surface Area and Volume

Surface Area and Volume 14 CHAPTER Surface Area and Volume Lesson 14.1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? 1. unit cubes 2. unit cubes Extra Practice 5B 121 3. unit cubes 4. 5. unit

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

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

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

MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions

MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions [Exam ID:2M8EKV 1 A soda can has a diameter of 6 centimeters and a height of 13 centimeters. Which is closest to the surface area

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

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

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

MATH-8 Review Surface Area 3D 2018 N Exam not valid for Paper Pencil Test Sessions

MATH-8 Review Surface Area 3D 2018 N Exam not valid for Paper Pencil Test Sessions MATH-8 Review Surface Area 3D 2018 N Exam not valid for Paper Pencil Test Sessions [Exam ID:J42YVD 1 What is the surface area of the rectangular prism shown? A 48 cm 2 B 24 cm 2 C 52 cm 2 D 26 cm 2 2 A

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

Finding the Volume of Solids

Finding the Volume of Solids S E S S I O N 1. 5 A Finding the Volume of Solids Math Focus Points Using formulas to find the volume of rectangular prisms Finding the volume of a solid composed of two rectangular prisms Today s Plan

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

Volume review. 1. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches.

Volume review. 1. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. Name: ate: 1. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. 3. Which diagram represents the figure with the greatest volume? A.... What is the volume

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

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

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

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

Lesson 23: Surface Area

Lesson 23: Surface Area Lesson 23 Lesson 23: Classwork Opening Exercise Calculate the surface area of the square pyramid. Example 1 a. Calculate the surface area of the rectangular prism. Lesson 23: S.142 Lesson 23 b. Imagine

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

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

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

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

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

Determine whether the solid is a polyhedron. If it is, name the polyhedron. Explain your reasoning

Determine whether the solid is a polyhedron. If it is, name the polyhedron. Explain your reasoning Chapter 12 Review Packet Name Determine whether the solid is a polyhedron. If it is, name the polyhedron. Explain your reasoning. 1. 2. 3. Use Euler's Theorem to find the value of n. Faces: 10 Vertices:

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

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

Three-Dimensional Figures and Nets

Three-Dimensional Figures and Nets Lesson 11.1 Reteach Three-Dimensional Figures and Nets Solid figures have three dimensions length, width, and height. They can be named by the shapes of their bases, the number of bases, and the shapes

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

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 What is the surface area of a sphere with radius 7 cm? A. 7 cm 2 B. 14 cm 2 C.

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

Surface Area and Volume

Surface Area and Volume 15 CHAPTER Surface Area and Volume Lesson 15.1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? 1. 2. unit cubes unit cubes Extra Practice 5B 115 3. unit cubes 4. 5. unit

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

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

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

Name 13-6A. 1. Which is the volume of the solid? 2. What is the volume of the solid? A 72 cm 3 B 432 cm 3 C 672 cm 3 D 864 cm 3

Name 13-6A. 1. Which is the volume of the solid? 2. What is the volume of the solid? A 72 cm 3 B 432 cm 3 C 672 cm 3 D 864 cm 3 . Which is the volume of the solid? Quick Check. What is the volume of the solid? 8 in. 9 in. 8 in. A 96 in B 9 in C 0 in D 6 in 8 in. A 7 B C 67 D 86. Writing to Explain Carlos is an architect. He wants

More information

Mathematics II Formula Sheet

Mathematics II Formula Sheet Mathematics II Formula Sheet elow are the formulas you may find useful as you work the problems. However, some of the formulas may not be used. You may refer to this page as you take the test. Area Rectangle/Parallelogram

More information

Answers Investigation 4

Answers Investigation 4 Answers Applications 1 4. Patterns 2 and 4 can fold to form closed boxes. Patterns 1 and 3 cannot fold to form closed boxes. 10. Sketch of box and possible net: 5. a. Figures 1 and 2 can be folded to form

More information

Lesson 26: Volume of Composite Three-Dimensional Objects

Lesson 26: Volume of Composite Three-Dimensional Objects Classwork Example 1 Find the volume of the following three-dimensional object composed of two right rectangular prisms. Exercise 1 Find the volume of the following three-dimensional figure composed of

More information

Surface Area and Volume

Surface Area and Volume 15 CHAPTER Surface Area and Volume Worksheet 1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? This is a unit cube. 1. 2. unit cubes 3. 4. unit cubes unit cubes unit

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

Three Dimensional Figures. TeacherTwins 2015

Three Dimensional Figures. TeacherTwins 2015 Three Dimensional Figures TeacherTwins 2015 Warm Up What is a 2 dimensional figure? What is a three dimensional figure? Draw a picture of each. Using the nets provided, make the following three dimensional

More information

Math 6: Geometry 3-Dimensional Figures

Math 6: Geometry 3-Dimensional Figures Math 6: Geometry 3-Dimensional Figures Three-Dimensional Figures A solid is a three-dimensional figure that occupies a part of space. The polygons that form the sides of a solid are called a faces. Where

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

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

A C E. Answers Investigation 4. Applications. b. Possible answers:

A C E. Answers Investigation 4. Applications. b. Possible answers: Answers Applications 4. Patterns and 4 can fold to form closed boxes. Patterns and cannot fold to form closed boxes. 5. a. Figures and can be folded to form a closed box. Pattern C cannot. b. Figure :

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

L22 Measurement in Three Dimensions. 22a Three Dimensions Warmup

L22 Measurement in Three Dimensions. 22a Three Dimensions Warmup 22a Three Dimensions Warmup Let s take a look at two-dimensional and three-dimensional objects below. A vertex (plural: vertices) (#VOC) in a 2 or 3-dimensional object is a point where two or more straight

More information

Lesson 4: Volumes of Pyramids and Cones

Lesson 4: Volumes of Pyramids and Cones : Volumes of Pyramids and Cones Learning Targets I can calculate the volumes of pyramids. I can apply the properties of right triangles and trigonometry to find the volume of pyramids Volumes of pyramids

More information

Engage NY Lesson 15: Representing Three-Dimensional Figures Using Nets

Engage NY Lesson 15: Representing Three-Dimensional Figures Using Nets Name: Surface Area & Volume Packet Engage NY Lesson 15: Representing Three-Dimensional Figures Using Nets Classwork Cereal Box Similarities: Cereal Box Differences: Exercise 1 1. Some of the drawings below

More information

Someone else might choose to describe the closet by determining how many square tiles it would take to cover the floor. 6 ft.

Someone else might choose to describe the closet by determining how many square tiles it would take to cover the floor. 6 ft. Areas Rectangles One way to describe the size of a room is by naming its dimensions. So a room that measures 12 ft. by 10 ft. could be described by saying its a 12 by 10 foot room. In fact, that is how

More information

Surface Area and Volume of Solids

Surface Area and Volume of Solids Surface Area and Volume of Solids? MODULE 5 LESSON 5. ESSENTIAL QUESTION Nets and Surface Area How can a model help you to solve surface area and volume problems? 6.G. LESSON 5. Volume of Rectangular Prisms

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

Designing Rectangular Boxes

Designing Rectangular Boxes Designing Rectangular Boxes Finding the right box for a product requires thought and planning. A company must consider how much the box can hold as well as the amount and the cost of the material needed

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

Chapter 12 Test Review Part 2 (12.1, 12-4 to 12-6, 12-8) - GH

Chapter 12 Test Review Part 2 (12.1, 12-4 to 12-6, 12-8) - GH Class: Date: Chapter 12 Test Review Part 2 (12.1, 12-4 to 12-6, 12-8) - GH 1 12-8: If the scale factor of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio

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

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS 3 INCLUDES Tier Tier Tier 3 Correlations Diagnostic Interviews for Every Common Core Cluster Tier Lessons, Tier Prerequisite Skills, and

More information

When discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all its outer surfaces or faces.

When discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all its outer surfaces or faces. Lesson 3 Lesson 3, page 1 of 10 Glencoe Geometry Chapter 11. Nets & Surface Area When discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all

More information

NAME DATE PERIOD. If the fish tank shown is 80% filled with water, how much water is in the tank? 6.G.2, MP 1

NAME DATE PERIOD. If the fish tank shown is 80% filled with water, how much water is in the tank? 6.G.2, MP 1 Lesson 1 Multi-Step Example Multi-Step Problem Solving If the fish tank shown is 80% filled with water, how much water is in the tank? 6.G.2, MP 1 A 5,772 cubic inches B 4,617.6 cubic inches C 1,154.4

More information

Polygons. 5 sides 5 angles. pentagon. no no R89. Name

Polygons. 5 sides 5 angles. pentagon. no no R89. Name Lesson 11.1 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 of angles

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

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

11 4 Volumes of Prisms and Cylinders Focused Learning Target: CA Standard(s): Vocabulary:

11 4 Volumes of Prisms and Cylinders Focused Learning Target: CA Standard(s): Vocabulary: Ch 11 : Surface Area and Volume 11 4 Volumes of Prisms and Cylinders 11 5 Volumes of Pyramids and Cones 11 6 Surface Areas and Volumes of Spheres 11 7 Areas and Volumes of Similar Solids 11 4 Volumes of

More information

Course 1 Unit 5 Practice

Course 1 Unit 5 Practice Course Unit Practice Lesson -. Attend to precision. Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths in inches. If a triangle can be formed,

More information

8th Grade. 3-Dimensional Solids. Slide 1 / 97 Slide 2 / 97. Slide 3 / 97. Slide 3 (Answer) / 97. Slide 4 / 97. Slide 5 / 97.

8th Grade. 3-Dimensional Solids. Slide 1 / 97 Slide 2 / 97. Slide 3 / 97. Slide 3 (Answer) / 97. Slide 4 / 97. Slide 5 / 97. Slide / 97 Slide 2 / 97 8th Grade D Geometry 205--20 www.njctl.org Slide / 97 Table of ontents Slide () / 97 Table of ontents -Dimensional Solids Volume Prisms and ylinders Pyramids, ones & Spheres More

More information

6th Grade. Slide 1 / 219. Slide 2 / 219. Slide 3 / 219. Geometry. Table of Contents

6th Grade. Slide 1 / 219. Slide 2 / 219. Slide 3 / 219. Geometry. Table of Contents Slide 1 / 219 Slide 2 / 219 6th Grade Geometry 2015-12-01 www.njctl.org Table of Contents Area of Rectangles Click on a topic to Area of Parallelograms go to that section Area of Right Triangles Area of

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

Students construct nets of three dimensional objects using the measurements of a solid s edges.

Students construct nets of three dimensional objects using the measurements of a solid s edges. Student Outcomes Students construct nets of three dimensional objects using the measurements of a solid s edges. Lesson Notes In the previous lesson, a cereal box was cut down to one of its nets. On the

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

Study Guide and Intervention

Study Guide and Intervention 1- Study Guide and Intervention Congruent or Similar Solids If the corresponding angles and sides of two solids are congruent, then the solids are congruent. Also, the corresponding faces are congruent

More information

Surface Area of Solids

Surface Area of Solids Lesson 24 Surface Area of Solids Name: Prerequisite: Use a Net to Find Surface Area Study the example showing how to use a net to find the surface area of a prism. Then solve problems 7. Example Kioshi

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

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

CC Investigation 4: Measurement

CC Investigation 4: Measurement CC Investigation : Measurement A net is a two-dimensional model that can be folded into a threedimensional figure. Prisms are three-dimensional figures that have two congruent and parallel faces that are

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

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

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

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

The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net.

The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net. The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net. A net is the pattern made when the surface of a solid

More information

Classwork. Opening Exercise. Example 1. Which prism will hold more 1 in. 1 in. 1 in. cubes? 12 in. 6 in. 4 in. 5 in. 10 in. 8 in.

Classwork. Opening Exercise. Example 1. Which prism will hold more 1 in. 1 in. 1 in. cubes? 12 in. 6 in. 4 in. 5 in. 10 in. 8 in. Classwork Opening Exercise Which prism will hold more 1 in. 1 in. 1 in. cubes? 6 in. 12 in. 10 in. 4 in. 8 in. 5 in. How many more cubes will the prism hold? Example 1 A box with the same dimensions as

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

Unit 9: Solid Geometry Lesson 3: Surface Area of Prisms & Cylinders (12.2)

Unit 9: Solid Geometry Lesson 3: Surface Area of Prisms & Cylinders (12.2) Unit 9: Solid Geometry Lesson 3: Surface rea of Prisms & ylinders (12.2) Learning Targets: 9I raw the net of a prism, and use it to develop a formula for the surface area of a right prism. 9K erive the

More information

UNIT 3 CIRCLES AND VOLUME Lesson 5: Explaining and Applying Area and Volume Formulas Instruction

UNIT 3 CIRCLES AND VOLUME Lesson 5: Explaining and Applying Area and Volume Formulas Instruction Prerequisite Skills This lesson requires the use of the following skills: understanding and using formulas for the volume of prisms, cylinders, pyramids, and cones understanding and applying the formula

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

Solving Surface Area Problems 7.G.2.6

Solving Surface Area Problems 7.G.2.6 ? L E S S O N 9.4 Solving Surface Area Problems ESSENTIAL QUESTION Solve real-world and mathematical problems involving surface area of three-dimensional objects composed of cubes and right prisms. How

More information

Problem Solving Find Unknown Lengths OBJECTIVE Solve problems using the strategy guess, check, and revise. Read the Problem.

Problem Solving Find Unknown Lengths OBJECTIVE Solve problems using the strategy guess, check, and revise. Read the Problem. LESSON 72 Problem Solving Find Unknown Lengths OBJECTIVE Solve problems using the strategy guess, check, and revise. CC.5.NF.5b Zach built a rectangular deck in his backyard. The area of the deck is 00

More information

8-3. A butterfly house at a local zoo is a rectangular prism with dimensions 20' 15' 10' and contains 625 butterflies.

8-3. A butterfly house at a local zoo is a rectangular prism with dimensions 20' 15' 10' and contains 625 butterflies. 8-1. Compute the volume of the figures below. 8-2. Carefully draw the prisms below onto your paper. One way to do this is to draw the two bases first and then to connect the corresponding vertices of the

More information

Changes in Dimensions. MODELS Stephen is creating a model of the Washington Monument for history class. of the monument s

Changes in Dimensions. MODELS Stephen is creating a model of the Washington Monument for history class. of the monument s Multi-Part Lesson 9-2 Similar Solids PART Main Idea Solve problems involving similar solids. New Vocabulary similar solids glencoe.com A B C Changes in Dimensions MODELS Stephen is creating a model of

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

Lesson 24: Surface Area

Lesson 24: Surface Area Student Outcomes Students determine the surface area of three-dimensional figures, those that are composite figures and those that have missing sections. Lesson Notes This lesson is a continuation of Lesson

More information

6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?

6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape? 6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is

More information

D A S O D A. Identifying and Classifying 3-D Objects. Examples

D A S O D A. Identifying and Classifying 3-D Objects. Examples Identifying Classifying 3-D Objects Examples Have you noticed that many of the products we purchase come in packages or boxes? Take a look at the products below. A) Did you notice that all the sides or

More information

Caught in a Net. SETTING THE STAGE Examine and define faces of solids. LESSON OVERVIEW. Examine and define edges of solids.

Caught in a Net. SETTING THE STAGE Examine and define faces of solids. LESSON OVERVIEW. Examine and define edges of solids. Caught in a Net LESSON FOCUS Using informal geometric vocabulary to describe physical objects and geometric figures. Constructing mental and physical images of common geometric figures. Classifying geometric

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