Chapter 12 Final Review
Indicate the answer choice that best completes the statement or answers the question.
Find the volume of each sphere or hemisphere. Round to the nearest tenth.
1.
2.
Find the lateral area and surface area of each regular pyramid. Round to the nearest tenth if necessary.
3.
4.
Find the volume of each prism or cylinder. Round to the nearest tenth if necessary.
5.
Find the lateral and surface area of each prism. Round to the nearest tenth if necessary.
Chapter 12 Final Review
6.
Find the volume of each pyramid or cone. Round to the nearest tenth if necessary.
7.
8. Find the surface area of a cone if the height is 14 centimeters and the slant height is 16.4 centimeters.
Find the volume of each prism or cylinder. Round to the nearest tenth if necessary.
9.
Find the lateral area and surface area of each cylinder. Round to the nearest tenth.
10.
11. HISTORY The start of the pyramid age began with King Zoser’s pyramid, erected in the 27th century B.C. In its
original state, it stood 62 meters high with a rectangular base that measured 140 meters by 118 meters. Find the volume of
the original pyramid.
Find the surface area of each sphere or hemisphere. Round to the nearest tenth.
12. hemisphere: radius of great circle = 8.4 in.
13. GAZEBOS The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meter and
the slant height of the roof is 1.9 meters, find the area of the roof.
Chapter 12 Final Review
Find the surface area of each sphere or hemisphere. Round to the nearest tenth.
14.
Find the volume of each prism or cylinder. Round to the nearest tenth if necessary.
15.
Find the volume of each sphere or hemisphere. Round to the nearest tenth.
16. sphere: radius = 12.4 in.
17. sphere: circumference 36 yd
Find the volume of each pyramid or cone. Round to the nearest tenth if necessary.
18.
Find the lateral area and surface area of each cone. Round to the nearest tenth if necessary.
19.
20. HATS Cuong bought a conical hat on a recent trip to central Vietnam. The basic frame of the hat is 16 hoops of
bamboo that gradually diminish in size. The hat is covered in palm leaves. If the hat has a diameter of 50 centimeters and
a slant height of 32 centimeters, what is the lateral area of the conical hat?
Chapter 12 Final Review
Answer Key
1. 8578.6 m3
2. 7832.9 ft3
3. L = 126 m2; S 147.2 m2
4. L = 162.5 ft2; S 205.5 ft2
5. 2600 yd3
6. L = 224.3 ft2; S = 264.3 ft2
7. 317.5 yd3
8. 669.3 cm2
9. 923.6 ft3
10. L 219.9 ft2; S 377.0 ft2
11. about 341,413.3 m3
12. 665.0 in2
13. 3.8 m2
14. 530.9 cm2
15. 97.4 in3
16. 7986.4 in3
17. 787.9 yd3
18. 4688.3 ft3
19. L 80.5 m2; S 130.7 m2
20. about 2513.3 cm2