1. Objective:
To find….
Find volumes of prisms and cylinders.
Find volumes of pyramids and cones.

3. Concept

4. Find the volume of the prism.
Volume of a Prism
Find the volume of the prism.
V Bh Volume of a prism
1500 Simplify.
Answer: The volume of the prism is 1500 cubic centimeters.
Example 1

5. Find the volume of the prism.
A in3
B in3
C in3
D in3
Example 1

6. Concept

7. Find the volume of the cylinder to the nearest tenth.
Volume of a Cylinder
Find the volume of the cylinder to the nearest tenth.
Volume of a cylinder
= (1.8)2(1.8) r = 1.8 and h = 1.8
≈ 18.3 Use a calculator.
Answer: The volume is approximately 18.3 cm3.
Example 2

8. Find the volume of the cylinder to the nearest tenth.
A cm3
B cm3
C cm3
D cm3
Example 2

9. Concept

10. Find the volume of the oblique cylinder to the nearest tenth.
Volume of an Oblique Solid
Find the volume of the oblique cylinder to the nearest tenth.
To find the volume, use the formula for a right cylinder.
Volume of a cylinder
r 15, h 25
Use a calculator.
Answer: The volume is approximately 17,671.5 cubic feet.
Example 3

11. Find the volume of the oblique cylinder to the nearest tenth.
A cm3
B. 16,725.8 cm3
C cm3
D cm3
Example 3

12. Concept

13. Find the volume of the square pyramid.
Volume of a Pyramid
Find the volume of the square pyramid.
Volume of a pyramid
s 3, h 7 21
Multiply.
Answer: The volume of the pyramid is 21 cubic inches.
Example 1

14. Brad is building a model pyramid for a social studies project
Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid.
A. 416 ft3 B. C. D.
Example 1

15. Concept

16. A. Find the volume of the oblique cone to the nearest tenth.
Volume of a Cone
A. Find the volume of the oblique cone to the nearest tenth.
Example 2A

17. Answer: The volume of the cone is approximately 2168.0 cubic feet.
Volume of a Cone
Volume of a cone
r = 9.1, h = 25 ≈
Use a calculator.
Answer: The volume of the cone is approximately cubic feet.
Example 2A

18. B. Find the volume of the cone to the nearest tenth.
Volume of a Cone
B. Find the volume of the cone to the nearest tenth.
Example 2B

19. Answer: The volume of the cone is approximately 314.2 cubic inches.
Volume of a Cone
Volume of a cone
r = 5, h = 12
≈ 314.2
Use a calculator.
Answer: The volume of the cone is approximately cubic inches.
Example 2B

20. A. Find the volume of the oblique cone to the nearest tenth.
A m3
B. 27,463.2 m3
C m3
D m3
Example 2A

21. B. Find the volume of the cone to the nearest tenth.
A m3
B m3
C m3
D m3
Example 2B