Free Area and Volume MCQs with Answers
204 Area and Volume MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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204 questions · page 5 of 11
- A. 1520 m2
- B. 2420 m2
- C. 2480 m2
- D. 2520 m2
Explanation: The perimeter gives length + breadth = 206 m ÷ 2 = 103 m. Solving length − breadth = 23 m and length + breadth = 103 m gives length = 63 m…
Correct answer: 2520 m2- A. 76 min
- B. 80min
- C. 90min
- D. 96min
Explanation: The required water volume is 200 m × 150 m × 2 m = 60,000 m3. The pipe area is 1.5 m × 1.25 m = 1.875 m2, and at 20 km/h = 20,000 m/h its…
Correct answer: 96min- A. 84 Sq.cm
- B. 124 Sq.cm
- C. 164 Sq.cm
- D. 180 Sq.cm
Explanation: A cuboid's total surface area is 2(lb + bd + lh). Substituting 10 cm, 4 cm and 3 cm gives 2[(10 cm × 4 cm) + (4 cm × 3 cm) + (10 cm × 3…
Correct answer: 164 Sq.cm- A. the volume of the box
- B. Twice the volume of the box
- C. the square of the volume of the box
- D. Cube root of the volume of the box
Explanation: If the cuboid dimensions are l, b and d, the areas of three adjacent faces are lb, bd and dl.
Correct answer: the square of the volume of the box- A. 125 Sq.cm
- B. 236 Sq.cm
- C. 361 Sq.cm
- D. None of these
Explanation: For dimensions l, b and d, (l + b + d)2 = l2 + b2 + d2 + 2(lb + bd + dl).
Correct answer: 236 Sq.cm- A. 720 Cu.m
- B. 1200 Cu.m
- C. 361 Sq.cm
- D. None of these
Explanation: Let the height be h m. The floor and ceiling area is 2(15 m × 12 m) = 360 m2, while the four walls have area 2h(15 m + 12 m) = 54h m2, so…
Correct answer: 1200 Cu.m- A. 1.227m
- B. 1.225m
- C. 1.233m
- D. 1.229m
Explanation: The outside drain increases each plot dimension by 20 m, so its outer area is 260 m × 200 m = 52,000 m2.
Correct answer: 1.227m- A. 15.16cm
- B. 16.17cm
- C. 17.18cm
- D. 18.19m
Explanation: The pit provides earth with volume 6 m × 3 m × 2.5 m = 45 m3. The field area is 20 m × 14 m = 280 m2, and the remaining area is 280 m2 −…
Correct answer: 17.18cm- A. 1/9
- B. 2/9
- C. 7/9
- D. 8/9
Explanation: The cylindrical tunnel gives volume πr2h = (22/7) × (2 m)2 × 56 m = 704 m3.
Correct answer: 2/9- A. 32
- B. 36
- C. 42
- D. 46
Explanation: A 1 cm rise equals 0.01 m, so the displaced water volume is 24 m × 15 m × 0.01 m = 3.6 m3.
Correct answer: 36- A. 2dm
- B. 6dm
- C. 18dm
- D. 72dm
Explanation: Let the length be L dm. The depth is L/3 dm, and the breadth is one-sixth of the difference between length and depth, so breadth = (L −…
Correct answer: 18dm- A. Rs.400
- B. Rs.500
- C. Rs.600
- D. Rs.800
Explanation: The tank height is capacity ÷ base area = 24 m3 ÷ (4 m × 3 m) = 2 m. One open tank surface, including its bottom and four sides, is 4 m ×…
Correct answer: Rs.800- A. 81000cu.cm
- B. 81775cu.cm
- C. 82125cu.cm
- D. None of these
Explanation: The outer dimensions are (115 cm + 5 cm) × (75 cm + 5 cm) × (35 cm + 5 cm) = 120 cm × 80 cm × 40 cm, because the 2.5 cm thickness occurs…
Correct answer: 82125cu.cm- A. 2.5m
- B. 3m
- C. 5.5m
- D. 4m
Explanation: The base area is 6500 cm2 = 0.65 m2, and the stated water volume is interpreted as 2.6 m3.
Correct answer: 4m- A. 14m
- B. 24m
- C. 28m
- D. 40m
Explanation: The wheel travels 88 km ÷ 1000 = 0.088 km = 88 m in one revolution, so its circumference is 88 m.
Correct answer: 28m- A. 484Sq.cm
- B. 538 2/7 Sq.cm
- C. 616 Sq.cm
- D. 644 Sq.cm
Explanation: A square with area 484 cm² has side √484 cm = 22 cm, so the wire length is 4 × 22 cm = 88 cm.
Correct answer: 616 Sq.cm- A. 15500Sq.m
- B. 15400Sq.m
- C. 15200Sq.m
- D. 15300Sq.m
Explanation: The square side is √12100 m² = 110 m, so its perimeter is 4 × 110 m = 440 m.
Correct answer: 15400Sq.m- A. 14m
- B. 21m
- C. 28m
- D. None of these
Explanation: A square of area 484 m² has side 22 m, so its perimeter is 88 m. The circle therefore has circumference 88 m, and its diameter is…
Correct answer: 28m- A. 49 Sq.cm
- B. 154 Sq.cm
- C. 378Sq.cm
- D. 1078 Sq.cm
Explanation: The largest circle inside a rectangle cannot have a diameter greater than the shorter side, 14 cm.
Correct answer: 154 Sq.cm- A. 6cm
- B. 3.2 cm
- C. 3 cm
- D. 3.5 cm
Explanation: The increase in area is pi[(r + 1 cm)² - r²] = pi(2r + 1 cm) = 22 cm². Using pi = 22/7 gives 2r + 1 cm = 7 cm, so 2r = 6 cm and r = 3 cm.
Correct answer: 3 cm