Geometry Three-Dimensional Figures.pdf

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3. 4. 5. Which three-dimensional figure is represented by the net shown? 6. How many faces does the figure shown by the net have? How many edges?
Name ——————————————————————— SECTION

4

Date ————————————

Geometry Lesson 15: Three-Dimensional Figures Figures that take up space are called three-dimensional figures, space figures, or solids.

EXAMPLE 1

Cube

Prism

Pyramid

Sphere

Cylinder

Cone

A flat surface of a three-dimensional figure is called a face. A line segment that is the intersection of two faces is an edge. A point where edges of a solid meet is a vertex. A net can be used to show the faces, edges, and vertices of a three-dimensional figure. Vertex Edge

HINT In every three-dimensional figure the sum of the number of faces and the number of vertices is 2 more than the number of edges. F+V=E+2

Face

Practice: First Try Name the type of three-dimensional figure shown. 1.

2.

3.

4.

5. Which three-dimensional figure is represented by

the net shown? 6. How many faces does the figure shown by the net have?

4. GEOMETRY 15. Three-Dimensional

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.

EXAMPLE 2

Six types of three-dimensional figures are shown below.

How many edges? How many vertices?

McDougal Littell Middle School Math Remediation Book Lesson 4.15

127

Name ———————————————————————

Date ————————————

Practice: Second Try Name the type of three-dimensional figure shown. 1.

2.

3.

4.

5.

6.

7.

8.

Tell which type of three-dimensional figure each object is. 9. basketball 13. sugar cube

10. soup can

11. shoe box

12. sugar cone

14. tepee

15. a quarter

16. a marble

17. Which three-dimensional figures are formed by only flat surfaces? 18. Which three-dimensional figure is formed by only a curved surface? 19. Which three-dimensional figures are formed by both flat

and curved surfaces?

21. How many faces does the figure shown by the net have?

How many edges? How many vertices? Extend Your Skills 22. Larry is going to make a figure using the net shown D.

4. GEOMETRY 15. Three-Dimensional

What three-dimensional figure will it make? Explain how you know.

128

Puzzle

How many of each three-dimensional figure make up the robot shown? Can you draw another robot using all the three-dimensional figures from the lesson?

McDougal Littell Middle School Math Remediation Book Lesson 4.15

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.

20. Which three-dimensional figure is represented by the net shown?

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Name ——————————————————————— SECTION

4

Date ————————————

Geometry Lesson 15: Three-Dimensional Figures Figures that take up space are called three-dimensional figures, space figures, or solids.

EXAMPLE 1

Cube

Prism

Pyramid

Sphere

Cylinder

Cone

A flat surface of a three-dimensional figure is called a face. A line segment that is the intersection of two faces is an edge. A point where edges of a solid meet is a vertex. A net can be used to show the faces, edges, and vertices of a three-dimensional figure. Vertex Edge

HINT In every three-dimensional figure the sum of the number of faces and the number of vertices is 2 more than the number of edges. F+V=E+2

Face

Practice: First Try Name the type of three-dimensional figure shown. 1.

2.

3.

4.

5. Which three-dimensional figure is represented by

the net shown? 6. How many faces does the figure shown by the net have?

4. GEOMETRY 15. Three-Dimensional

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.

EXAMPLE 2

Six types of three-dimensional figures are shown below.

How many edges? How many vertices?

McDougal Littell Middle School Math Remediation Book Lesson 4.15

127

Name ———————————————————————

Date ————————————

Practice: Second Try Name the type of three-dimensional figure shown. 1.

2.

3.

4.

5.

6.

7.

8.

Tell which type of three-dimensional figure each object is. 9. basketball 13. sugar cube

10. soup can

11. shoe box

12. sugar cone

14. tepee

15. a quarter

16. a marble

17. Which three-dimensional figures are formed by only flat surfaces? 18. Which three-dimensional figure is formed by only a curved surface? 19. Which three-dimensional figures are formed by both flat

and curved surfaces?

21. How many faces does the figure shown by the net have?

How many edges? How many vertices? Extend Your Skills 22. Larry is going to make a figure using the net shown D.

4. GEOMETRY 15. Three-Dimensional

What three-dimensional figure will it make? Explain how you know.

128

Puzzle

How many of each three-dimensional figure make up the robot shown? Can you draw another robot using all the three-dimensional figures from the lesson?

McDougal Littell Middle School Math Remediation Book Lesson 4.15

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.

20. Which three-dimensional figure is represented by the net shown?