1. Find the volumes of pyramids and cones.
Main Idea/Vocabulary

2. KC

3. Find the Volume of a Pyramid
Find the volume of the pyramid.
Volume of a pyramid
B = 7 ● 3, h = 20
Simplify.
Answer: The volume is 140 cubic centimeters.
Example 1

4. Find the volume of the pyramid.
B. 72 m3
C. 80 m3
D. 120 m3 A B C D
Example 1

5. Replace V with12 and h with 4.
SOUVENIRS A novelty souvenir company wants to make snow “globes” shaped like pyramids. It decides that the most cost-effective maximum volume of water for the pyramids is 12 cubic inches. If a pyramid measures 4 inches in height, find the area of its base.
Volume of a pyramid
Replace V with12 and h with 4.
Example 2

6. Answer: The area of the base of the snow globe is 9 square inches.
Simplify.
Answer: The area of the base of the snow globe is 9 square inches.
Example 2

7. TOYS A company is designing pyramid shaped building blocks with a square base. They want the volume of the blocks to be 18 square inches. If the length of the side of the base is 3 inches, what should be the height of the blocks?
A. 6 in.
B. 6.5 in.
C. 7 in.
D. 7.5 in. A B C D
Example 2

8. KC

9. Find the Volume of a Cone
Find the volume of the cone. Round to the nearest tenth.
Volume of a cone
Replace r with1.5 and h with 8.
Simplify.
Answer: The volume is about 18.8 cubic meters.
Example 3

10. Find the volume of the cone. Round to the nearest tenth.
A in3
B in3
C in3
D in3 A B C D
Example 3

11. (over Lesson 7-5)
Find the volume of the given solid. Round to the nearest tenth if necessary.
A in3
B in3
C in3
D in3 A B C D
Five Minute Check 1

12. (over Lesson 7-5)
Find the volume of the given solid. Round to the nearest tenth if necessary.
A cm3
B. 51 cm3
C cm3
D. 153 cm3 A B C D
Five Minute Check 2

13. (over Lesson 7-5)
Find the volume of the given solid. Round to the nearest tenth if necessary.
A ft3
B ft3
C ft3
D ft3 A B C D
Five Minute Check 3

14. (over Lesson 7-5)
The base of the triangle of a triangular prism is yd, the altitude is 5 yd, and the height is 9 yd. Find the volume of the triangular prism. Round to the nearest tenth if necessary.
A yd3 B yd3
C. yd3 D yd3 A B C D
Five Minute Check 4

15. (over Lesson 7-5)
Find the volume of a rectangular prism if the length is 4.6 m, width is 8.2 m, and height is 5.3 m. Round to the nearest tenth if necessary.
A m3
B m3
C m3
D m3 A B C D
Five Minute Check 5

16. (over Lesson 7-5)
The volume of a rectangular prism is 440 mm3. If the length is 8 mm and the height is 5 mm, what is the width?
A. 4 mm
B. 9 mm
C. 10 mm
D. 11 mm A B C D
Five Minute Check 6

17. End of Custom Shows