1. THREE-DIMENSIONAL FIGURES
LESSON 1-7
THREE-DIMENSIONAL FIGURES

2. polyhedron cylinder cone sphere face edge regular polyhedron vertex
Note: See Vocabulary Sheet 1-7 Three-Dimensional Figures
polyhedron
cylinder
cone
sphere
regular polyhedron
Platonic solid
surface area
volume
face
edge
vertex
prism
base
pyramid
Vocabulary

3. a special solid with all flat surfaces that are polygons
Polyhedron:
a special solid with all flat surfaces that are polygons
**named by its base
Vocabulary

4. flat surfaces of a solid
Vocabulary

5. the line segment where the faces intersect
Edge:
the line segment where the faces intersect
Vocabulary

6. the point where three or more edges intersect
Vertex:
the point where three or more edges intersect
Vocabulary

7. Concept

8. Platonic solid:
a regular polyhedron where all of the faces are regular congruent polygons and all the edges are congruent
Vocabulary

9. Identify Solids
A. Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
Example 1

10. Identify Solids
B. Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
Example 1

11. Identify Solids
C. Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
Example 1

12. A. Identify the solid. A. triangular pyramid B. pentagonal prism
C. rectangular prism
D. square pyramid
Example 1

13. B. Identify the solid. A. cone B. cylinder C. pyramid D. polyhedron
Example 1

14. C. Identify the solid. A. triangular prism B. triangular pyramid
C. rectangular pyramid
D. cone
Example 1

15. Concept

16. Find the surface area and volume of the cone.
Find Surface Area and Volume
Find the surface area and volume of the cone.
Example 2

17. Find the surface area and volume of the triangular prism.
A. surface area = 288 ft2 volume = 336 ft3
B. surface area = 336 ft2 volume = 288 ft3
C. surface area = 26 ft2 volume = 60 ft3
D. surface area = 488 ft2 volume = 122 ft3
Example 2

18. Surface Area and Volume
A. CONTAINERS Mike is creating a mailing tube which can be used to mail posters and architectural plans. The diameter of the base is inches, and the height is feet. Find the amount of cardboard Mike needs to make the tube.
Example 3

19. Surface Area and Volume
Example 3

20. A. Jenny has some boxes for shipping merchandise
A. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the surface area of the box.
A. surface area = 2520 in2
B. surface area = 18 in2
C. surface area = 180 in2
D. surface area = 1144 in2
Example 3

21. B. Jenny has some boxes for shipping merchandise
B. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the volume of the box.
A. volume = 1144 in3
B. volume = 14 in3
C. volume = 2520 in3
D. volume = 3600 in3
Example 3