Geometry Review 10.1 - 10.3: Volume of Prisms, Pyramids, Cylinders, and Cones

Geometry Review 10.1 - 10.3: Volume of Prisms, Pyramids, Cylinders, and Cones

PA Anchors: A3; B2; C1

1. Name the geometric solid suggested by a key on a computer keyboard.

2. Name the geometric solid suggested by a can of soda.

3. Name the geometric solid suggested by a marble.

4. Name the geometric solid suggested by a funnel.

5. Name the geometric solid suggested by a lead pipe.

6. Find the volume of the right rectangular prism.

7. Find the volume of the right rectangular prism.

8. Find the volume of the right rectangular prism.

9. Three right rectangular pie boxes are stacked as shown in the diagram. Find the volume of the

entire stack if all the prism bases are squares.

10. Three right rectangular pie boxes are stacked as shown in the diagram. Find the volume of the entire stack if all the prism bases are squares.

11. Find the volume of the combined right rectangular prisms.

12. Find the volume of the combined right rectangular prisms.

13. Find the exact volume of the cylinder.

14. Find the exact volume of the cylinder.

15. Three right rectangular pie boxes are stacked as shown in the diagram. Find the volume of the entire stack if all the prism bases are squares.

16. Three right rectangular pie boxes are stacked as shown in the diagram. Find the volume of the entire stack if all the prism bases are squares.

17. Find the volume of the figure.

18. Find the volume of the figure.

19. Find the volume of the figure.

20. Find the volume of the figure with base shown at left. The height of the figure is 12 in.

21. Find the volume of the figure with base shown at left. The height of the figure is 4 m.

22. Find the volume of the figure with base shown at left. The height of the figure is 7 cm.

23. Find the volume of the prism.

24. Find the volume of the prism.

25. Find the volume of the prism.

26. Find the volume of the prism.

27. Find the volume of the prism.

28. Find the volume of the prism.

29. Find the volume of the pyramid whose base is shown and whose height is 3 cm.

30. Find the volume of the pyramid whose base is shown and whose height is 5 ft.

31. Find the volume of the pyramid whose base is shown and whose height is 4 m.

32. Find the exact volume of the bottom of the partial cone. The height of the whole cone is 42 m,

and the height of the removed portion is 21 meters.

33. Find the exact volume of the bottom of the partial cone. The height of the whole cone is 60 m,

and the height of the removed portion is 30 meters.

34. Find the exact volume of the bottom of the partial cone. The height of the whole cone is 30 m,

and the height of the removed portion is 15 meters.

35. Find the volume of the pyramid.

36. Find the volume of the pyramid.

37. Find the volume of the pyramid.

38. The base of an octagonal pyramid has an area of 69.3 square yards. The height of the pyramid is

26.9 yards. Find the volume of the pyramid to the nearest tenth.

39. The base of a rectangular pyramid has an area of 91.1 square millimeters. The height of the

pyramid is 16.9 millimeters. Find the volume of the pyramid to the nearest tenth.

40. The base of a hexagonal pyramid has an area of 93.6 square meters. The height of the pyramid is

19.9 meters. Find the volume of the pyramid to the nearest tenth.