Unit 7 · Class 8 IB MYP · MCQ Test
Volume & Surface Area MCQ Test — Class 8 IB MYP
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Volume & Surface Area — MCQ Questions
1Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.
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Answer: 60 cm³
Hint: Volume = length × width × height.
Solution:
V = lwh — 5 \times 3 \times 4 = 60 \text{ cm}^3
2Find the surface area of a cube with side length 4 cm.
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Answer: 96 cm²
Hint: A cube has 6 equal faces.
Solution:
SA = 6s² — 6 \times 4^2 = 96 \text{ cm}^2
3What is the volume of a cube with side 3 cm?
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Answer: 27 cm³
Hint: Volume of a cube = s³.
Solution:
V = s³ — 3^3 = 27 \text{ cm}^3
4Find the volume of a cylinder with radius 3 cm and height 10 cm. (Use \(\pi \approx 3.14\))
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Answer: 282.6 cm³
Hint: Volume = πr²h.
Solution:
V = πr²h — 3.14 \times 9 \times 10 = 282.6 \text{ cm}^3
5A rectangular prism has dimensions 6 cm × 4 cm × 2 cm. What is its surface area?
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Answer: 88 cm²
Hint: SA = 2(lw + lh + wh).
Solution:
SA = 2(lw + lh + wh) — 2(24 + 12 + 8) = 2(44) = 88 \text{ cm}^2
6What is the volume of a triangular prism with base area 12 cm² and length 8 cm?
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Answer: 96 cm³
Hint: Volume = base area × length.
Solution:
V = A × l — 12 \times 8 = 96 \text{ cm}^3
7The radius of a cylinder is 5 cm and height is 7 cm. Find the curved surface area. (Use \(\pi \approx 3.14\))
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Answer: 219.8 cm²
Hint: Curved SA = 2πrh.
Solution:
CSA = 2πrh — 2 \times 3.14 \times 5 \times 7 = 219.8 \text{ cm}^2
8A cube has volume 125 cm³. What is its side length?
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Answer: 5 cm
Hint: Side = cube root of volume.
Solution:
s = ∛V — \sqrt[3]{125} = 5 \text{ cm}
9Find the total surface area of a cylinder with r = 2 cm and h = 6 cm. (Use \(\pi \approx 3.14\))
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Answer: 100.48 cm²
Hint: Total SA = 2πr² + 2πrh = 2πr(r + h).
Solution:
TSA = 2πr(r + h) — 2 \times 3.14 \times 2 \times (2 + 6) = 100.48 \text{ cm}^2
10A rectangular box is 10 cm long, 5 cm wide, and 3 cm tall. What volume of water can it hold?
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Answer: 150 cm³
Hint: Capacity equals volume for a box.
Solution:
V = lwh — 10 \times 5 \times 3 = 150 \text{ cm}^3
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Tips for Volume & Surface Area MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Volume & Surface Area MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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