Geo ch 12 Review (not worth points)
name __________________________
Name each figure.
1.
2.
Find the volume of each figure. Round your answers to the nearest hundredth if necessary.
Remember to LABEL your answers.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Find the volume of each figure. Round your answers to the nearest hundredth if necessary.
Remember to LABEL your answers.
12. a cone with diameter 2 cm and a height of 7 cm.
13. A sphere with a diameter of 15.8 in.
Find the volume of each figure. Round your answers to the nearest hundredth if necessary.
Remember to LABEL your answers.
14.
15.
16.
17.
18.
19.
20. A hexagonal prism 5 yd tall with a regular base measuring 7 yd on each side and an apothem of
length 6.1 yd.
21. Find the height of the figure below.
22. Two similar prisms have heights of 12 feet and 20
feet. What is the ratio of the volume of the small
prism to the volume of the large prism?
23. Two cubes have volumes of 64 cubic inches and 125 cubic inches. What is their similarity ratio?
The similarity ratio between two similar figures is given. The volume of the smaller figure is also
given. Find the volume of the larger figure.
2
9
24. similarity ratio:
25. similarity ratio:
10
5
V = 320 cm3
V = 11664 cm3
Determine whether each pair of solids is similar, congruent, or neither. If the solids are similar,
state the scale factor.
26.
27.
Describe each cross section.
28.
29.
30. The cake shown is cut in half vertically. Describe the cross
section of the cake.
31. A cylinder whose height is 5 meters has a volume of 320 cubic meters. Find the radius of the
cylinder. Show all work.
32. Each side of a cube measures 5.2 centimeters. Its mass is 72.4 grams. Find the density of the
cube. Round to the nearest hundredth if necessary.
33. The volume of a ball is 634 cm3 and its density is 2.6 g/cm3. What is the mass of the ball?
Round to the nearest tenth if necessary.
Sketch the solid produced by rotating the figure around the given axis. Then identify and
describe the solid.
34.
35.
Sketch the solid produced by rotating the figure around the given axis. Then find its volume.
Round to the nearest hundredth if necessary.
36.
37.
38. Two water tanks are shown. Tank A is a rectangular
prism and Tank B is a cylinder. The tanks are not
drawn to scale. Tank A is filled with water to the
10-meter mark. The volume of water that leaves
Tank A is transferred to Tank B, and the height
of the water in Tank B is 10 meters.
Calculate the volume of water remaining in tank A.
Answers: 1. Triangular prism 2. Rectangular pyramid 3. 336 mi3 4. 1837.85 m3 5. 1552.5 mi3
6. 368 ft3 7. 300 in3 8. 2411.52 m3 9. 126 km3 10. 29.31 cm3 11. 42 in3 12. 7.33 cm3
13. 2064.19 in3 14. 2009.6 km3
15. 168 yd3 16. 512.4 ft3 17. 3132 cm3 18. 3617.28 km3
19. 102.11 km3
24.
20. 640.5 yd3
8
320

, 5000 cm3
125
x
25.
21.
105  10.25 m 22.
27
125
729
11664

, 16000 cm3
1000
x
23.
4
5
26. Similar
1
2
28. triangle 29. circle 30. rectangle 31. 5r2 = 320, r = 8m 32. .51 g/cm3
38. Vol rect = 1240m3, vol cylinder = 1130.4 m3, difference = 79.6 m3
27. Neither
33. 1648.4 g