Q. A cone has a base radius of 3 cm and a slant height of 5 cm. What is its lateral surface area?
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A.
15π cm²
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B.
20π cm²
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C.
30π cm²
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D.
25π cm²
Solution
Lateral surface area of a cone = π * radius * slant height = π * 3 * 5 = 15π cm².
Correct Answer:
A
— 15π cm²
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Q. A cone has a radius of 4 cm and a height of 9 cm. What is its volume?
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A.
36π cm³
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B.
48π cm³
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C.
72π cm³
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D.
12π cm³
Solution
Volume of a cone = (1/3) * π * (radius)² * height = (1/3) * π * (4)² * 9 = (1/3) * π * 16 * 9 = 48π cm³.
Correct Answer:
A
— 36π cm³
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Q. A cylinder has a radius of 3 cm and a height of 7 cm. What is its volume?
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A.
63 cm³
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B.
78 cm³
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C.
84 cm³
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D.
90 cm³
Solution
Volume of a cylinder = π * (radius)² * height = π * (3)² * 7 = 63π cm³ ≈ 197.82 cm³.
Correct Answer:
B
— 78 cm³
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Q. A hemisphere has a radius of 5 cm. What is its total surface area?
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A.
75π cm²
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B.
50π cm²
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C.
25π cm²
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D.
100π cm²
Solution
Total surface area of a hemisphere = 3π * (radius)² = 3π * (5)² = 3π * 25 = 75π cm².
Correct Answer:
A
— 75π cm²
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Q. A rectangular box has dimensions 2 m, 3 m, and 4 m. What is its volume?
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A.
24 m³
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B.
20 m³
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C.
18 m³
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D.
12 m³
Solution
Volume of a rectangular box = length * width * height = 2 * 3 * 4 = 24 m³.
Correct Answer:
A
— 24 m³
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Q. Find the total surface area of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm.
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A.
62 cm²
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B.
54 cm²
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C.
42 cm²
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D.
36 cm²
Solution
Total surface area = 2(lw + lh + wh) = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 cm².
Correct Answer:
B
— 54 cm²
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Q. What is the lateral surface area of a cylinder with a radius of 2 cm and a height of 10 cm?
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A.
40π cm²
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B.
20π cm²
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C.
30π cm²
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D.
50π cm²
Solution
Lateral surface area of a cylinder = 2π * radius * height = 2π * 2 * 10 = 40π cm².
Correct Answer:
A
— 40π cm²
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Q. What is the surface area of a cube with a side length of 5 cm?
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A.
150 cm²
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B.
125 cm²
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C.
100 cm²
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D.
200 cm²
Solution
Surface area of a cube = 6 * (side length)² = 6 * (5)² = 6 * 25 = 150 cm².
Correct Answer:
A
— 150 cm²
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Q. What is the surface area of a sphere with a radius of 6 cm?
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A.
144π cm²
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B.
72π cm²
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C.
36π cm²
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D.
24π cm²
Solution
Surface area of a sphere = 4π * (radius)² = 4π * (6)² = 4π * 36 = 144π cm².
Correct Answer:
A
— 144π cm²
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