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Chapter Test
Chapter 8
Volume and Surface Area
1.
Find the area of the shaded region.
A.
357 square inches
B.
225 square inches
C.
178.5 square inches
D.
77.6 square inches
Hint
2.
Find the area of the shaded region.
A.
12.5 square meters
B.
23 square meters
C.
56 square meters
D.
40 square meters
Hint
3.
Find the volume to the nearest tenth of a sphere with a radius of 11 inches.
A.
5575.3 in3
B.
1520.5 in3
C.
69.1 in3
D.
380.1 in3
Hint
4.
A set of dessert glasses are in the shape of a cone. If each glass is 9
centimeters across and 12 centimeters tall, what is the volume of each
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dessert glass? Round to the nearest tenth.
A.
254.5 cubic centimeters
B.
1526.8 cubic centimeters
C.
381.7 cubic centimeters
D.
1017.9 cubic centimeters
Hint
5.
What is the surface area of a cylinder whose base has a diameter of
8 inches and whose height is 10 inches?
A.
351.9 in2
B.
469.1 in2
C.
703.7 in2
D.
938.3 in2
Hint
6.
Determine the surface area of the cylinder below.
A.
79.5 m2
B.
63.6 m2
C.
71.6 m2
D.
95.4 m2
Hint
7.
What is the surface area of a pyramid whose base is a square with sides
measuring 15 yards and with a slant height of 18 yards?
A.
540 yd2
B.
1530 yd2
C.
1170 yd2
D.
765 yd2
Hint
8.
Find the volume of the cylinder below to the nearest tenth.
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A.
2770.9 m3
B.
1385.4 m3
C.
5541.8 m3
D.
395.8 m3
Hint
9.
Determine the volume of a cone to the nearest tenth, if the diameter of the
base is 50.8 centimeters and the cone is 76.2 centimeters tall.
A.
38,611.1 cm3
B.
51,481.5 cm3
C.
77,222.2 cm3
D.
205,925.9 cm3
Hint
10.
What is the volume of the figure to the nearest tenth?
A.
1,926.6 m3
B.
2,453.1 m3
C.
7,706.5 m3
D.
620.2 m3
Hint
11.
Find the lateral area of the cone. Round to the nearest tenth.
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A.
75.4 m2
B.
37.7 m2
C.
47.1 m2
D.
66.0 m2
Hint
12.
Find the volume of the hemisphere. Round to the nearest tenth.
A.
20,528.9 in2
B.
27,371.9 in2
C.
29,414.7 in2
D.
54,744.2 in2
Hint
13.
A triangular prism has a volume of 12 cm3. Suppose the dimensions of the
prism are tripled. What is the volume of the new prism?
A.
1,728 cm3
B.
36 cm3
C.
324 cm3
D.
96 cm3
Hint
14.
One cube has a side length that is 3 times the side length of the smaller
cube. The volume of the smaller cube is 125 cubic feet. Find the volume of
the larger cube.
A.
5,125 ft3
B.
15,625 ft3
C.
375 ft3
D.
3,375 ft3
Hint
Check It
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