Volume of Prisms and Pyramids Practice Questions

Review the following concept if necessary: Volume of Prisms and Pyramids Study Guide.

Volume of Prisms and Pyramids Practice Questions

Problems

Find the volume of each prism.

1. 
2. 
3. 
4. 
5. 
6. 
7. 
8. 
9. 
10. Prism: B = 80 cm², h = 14 cm
11. Prism: B = 48 ft.², h = 12 ft.
12. Prism: B = 85 m², h = 8 m

For questions 13 and 14, use the given volume to determine the length of the missing edge.

13. In the following figure, the area of the rectangular base is 52 cm² and the total volume is 468 cm³.



14. The following figure has a height of 6 in., a length of 8 in., and a total volume of 336 in.³.

Find the volume of each cube.

15. 
16. 
17. Cube: e = 4 in.
18. Cube: e = 9 cm
19. Find the edge of a cube with volume 3,375 ft.³

Find the volume of each pyramid.

20. 
21. 
22. 
23. 
24. 
25. 
26. Regular pyramid: B = 64 in.², h= 6 in.
27. Regular pyramid: B = 156 ft.², h = 8 ft.
28. Regular pyramid: B = 3 cm², h = 1 cm

For questions 29 and 30, use the given volume to determine the missing value.

29. 
30. 

Answers

1. 432 in.³
2. 32 m³
3. 343 cm³
4. 240 ft.³
5. 108 m³
6. 100 ft.³
7. 120 cm³
8. 150 m³
9. 36 in.³
10. 1,120 cm³
11. 576 ft.³
12. 680 m³
13. 9 cm
14. 7 in.
15. 1,000 m³
16. 27 ft.³
17. 64 in.³
18. 729 cm³
19. e = 15 ft.
20. 192 cm³
21. 180 m³
22. 400 in.³
23. 60 ft.³
24. 270 m³
25. 85 cm³
26. 128 in.³
27. 416 ft.³
28. 1 cm³
29. 6 m
30. 9 ft.