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1. |
Identify the bases of the figure. |
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A. |
ABCNM, OPQED |
B. |
EDPQ, BCON |
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C. |
ABNM, DCOP |
D. |
ABCDE, MNOPQ |
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Hint |
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2. |
How many vertices does a hexagonal pyramid have? |
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A. |
7 |
B. |
1 |
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C. |
12 |
D. |
6 |
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Hint |
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3. |
Find the lateral area of the figure below. |
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A. |
628.3 cm2 |
B. |
402.2 cm2 |
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C. |
1256.6 cm2 |
D. |
3217.0 cm2 |
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Hint |
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4. |
Find the volume of the prism below. Round to the nearest hundredth. |
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A. |
14.18 m3 |
B. |
6.30 m3 |
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C. |
5.51 m3 |
D. |
12.78 m3 |
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Hint |
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5. |
Determine the lateral area of the cone. Round to the nearest tenth. |
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A. |
603.2 cm2 |
B. |
754.0 cm2 |
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C. |
1508.0 cm2 |
D. |
1206.4 cm2 |
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Hint |
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6. |
The volume of a cone is ____________ the volume of a cylinder with the same base and height measures. |
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A. |
equal to |
B. |
one-fourth |
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C. |
one-third |
D. |
one-half |
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Hint |
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7. |
The moon has an average diameter of 3476 kilometers. What would be the surface area of the moon if its surface were completely smooth? Round to the nearest hundredth. |
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A. |
151,834,128 km2 |
B. |
37,958,532 km2 |
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C. |
75,917,064 km2 |
D. |
113,875,596 km2 |
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Hint |
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8. |
A grain silo on a farm is 75 feet tall and 20 feet in diameter. The silo is topped by a hemisphere. How much grain can be stored in the silo? |
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A. |
26,609.34 ft3 |
B. |
22,514.75 ft3 |
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C. |
27,750.74 ft3 |
D. |
24,609.14 ft3 |
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Hint |
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9. |
Find the lateral area of the cylinder. Round to the nearest tenth. |
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A. |
1143.5 cm2 |
B. |
1099.6 cm2 |
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C. |
1134.5 cm2 |
D. |
2287.1 cm2 |
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Hint |
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10. |
A triangular prism has an isosceles right triangle as a base. The volume of the prism is 342.1 cm3. Find the measure of one of the legs of the base if the height of the prism is 13.2 cm. Round to the nearest tenth. |
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A. |
7.2 cm |
B. |
6.5 cm |
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C. |
5.1 cm |
D. |
3.6 cm |
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Hint |
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11. |
Find the slant height of a regular pyramid with a heptagonal base if one side of the base is 7.4 m and the lateral area is 339.3 m2. Round to the nearest tenth. |
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A. |
6.6 m |
B. |
13.1 m |
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C. |
15.3 m |
D. |
3.3 m |
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Hint |
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12. |
Find the height of a cone if the volume is 5.6 m3 and the radius is 1.6 m. Round to the nearest tenth. |
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A. |
4.2 m |
B. |
2.1 m |
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C. |
2.3 m |
D. |
4.4 m |
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Hint |
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13. |
Determine the ratio of the volumes for the similar prisms. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Find the ratio of the surface areas of the similar prisms. |
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A. |
16:25 |
B. |
8:10 |
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C. |
64:125 |
D. |
16:10 |
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Hint |
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