Mensuration MCQs 2026

45 questions with detailed answers · 23 from past papers · 5 quiz batches available

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Page 1 of 1 Questions 110 of 45
  1. Q1 easy

    Find the total surface area of a cube whose side is 5 cm

    1. A 150 cm2
    2. B 125 cm2
    3. C 100 cm2
    4. D 75 cm2
    💡 Explanation:

    Total surface area of cube = 6 x side^2 = 6 x 25 = 150 cm2.

  2. Q2 Past Paper · PPSC/FPSC/NTS easy

    A cuboid has length 8 cm, breadth 5 cm and height 3 cm. Find its volume

    1. A 16 cm3
    2. B 40 cm3
    3. C 120 cm3
    4. D 80 cm3
    💡 Explanation:

    Volume of cuboid = l x b x h = 8 x 5 x 3 = 120 cm3.

  3. Q3 medium

    Find the total surface area of a cuboid with length 6 cm, breadth 4 cm and height 3 cm

    1. A 54 cm2
    2. B 108 cm2
    3. C 72 cm2
    4. D 216 cm2
    💡 Explanation:

    TSA = 2(lb+bh+hl) = 2(24+12+18) = 108 cm2.

  4. Q4 Past Paper · PPSC/FPSC/NTS medium

    Find the volume of a cylinder with radius 7 cm and height 10 cm (use pi = 22/7)

    1. A 770 cm3
    2. B 220 cm3
    3. C 308 cm3
    4. D 1540 cm3
    💡 Explanation:

    Volume = pi x r^2 x h = 22/7 x 49 x 10 = 1540 cm3.

  5. Q5 easy

    Find the area of a parallelogram with base 12 cm and height 5 cm

    1. A 60 cm2
    2. B 17 cm2
    3. C 30 cm2
    4. D 120 cm2
    💡 Explanation:

    Area of parallelogram = base x height = 12 x 5 = 60 cm2.

  6. Q6 easy

    Find the circumference of a circle of radius 7 cm (use pi = 22/7)

    1. A 22 cm
    2. B 154 cm
    3. C 44 cm
    4. D 88 cm
    💡 Explanation:

    Circumference = 2 x pi x r = 2 x 22/7 x 7 = 44 cm.

  7. Q7 Past Paper · PPSC/FPSC/NTS easy

    Find the area of a triangle with base 10 cm and height 8 cm

    1. A 40 cm2
    2. B 80 cm2
    3. C 18 cm2
    4. D 36 cm2
    💡 Explanation:

    Area of triangle = 1/2 x base x height = 1/2 x 10 x 8 = 40 cm2.

  8. Q8 easy

    A rectangle has length 15 m and breadth 9 m. Find its perimeter

    1. A 135 m
    2. B 48 m
    3. C 24 m
    4. D 96 m
    💡 Explanation:

    Perimeter = 2(l+b) = 2(15+9) = 48 m.

  9. Q9 Past Paper · PPSC/FPSC/NTS medium

    Find the area of a circle of radius 14 cm (use pi = 22/7)

    1. A 88 cm2
    2. B 308 cm2
    3. C 154 cm2
    4. D 616 cm2
    💡 Explanation:

    Area = pi x r^2 = 22/7 x 14 x 14 = 616 cm2.

  10. Q10 Past Paper · PPSC/FPSC/NTS easy

    Find the area of a square whose side is 12 cm

    1. A 48 cm2
    2. B 24 cm2
    3. C 96 cm2
    4. D 144 cm2
    💡 Explanation:

    Area of a square = side x side = 12 x 12 = 144 cm2.

  11. Q11 medium

    Find the curved surface area of a hemisphere with radius 7 cm (use pi = 22/7)

    1. A 154 cm2
    2. B 308 cm2
    3. C 462 cm2
    4. D 616 cm2
    💡 Explanation:

    CSA of hemisphere = 2 x pi x r^2 = 2 x 22/7 x 49 = 308 cm2.

  12. Q12 Past Paper · PPSC/FPSC/NTS hard

    Find the total surface area of a hemisphere with radius 7 cm (use pi = 22/7)

    1. A 308 cm2
    2. B 154 cm2
    3. C 231 cm2
    4. D 462 cm2
    💡 Explanation:

    TSA of hemisphere = 3 x pi x r^2 = 3 x 22/7 x 49 = 462 cm2.

  13. Q13 medium

    Find the volume of a cone with radius 7 cm and height 24 cm (use pi = 22/7)

    1. A 2464 cm3
    2. B 616 cm3
    3. C 1232 cm3
    4. D 3696 cm3
    💡 Explanation:

    Volume of cone = 1/3 x pi x r^2 x h = 1/3 x 22/7 x 49 x 24 = 1232 cm3.

  14. Q14 Past Paper · PPSC/FPSC/NTS medium

    A cone has radius 7 cm and height 24 cm. Find its slant height

    1. A 25 cm
    2. B 31 cm
    3. C 17 cm
    4. D 28 cm
    💡 Explanation:

    Slant height l = sqrt(r^2+h^2) = sqrt(49+576) = sqrt(625) = 25 cm.

  15. Q15 medium

    Find the curved surface area of a cone with radius 7 cm and slant height 25 cm (use pi = 22/7)

    1. A 275 cm2
    2. B 1100 cm2
    3. C 385 cm2
    4. D 550 cm2
    💡 Explanation:

    CSA of cone = pi x r x l = 22/7 x 7 x 25 = 550 cm2.

  16. Q16 Past Paper · PPSC/FPSC/NTS hard

    Find the total surface area of a cone with radius 7 cm and slant height 25 cm (use pi = 22/7)

    1. A 550 cm2
    2. B 704 cm2
    3. C 352 cm2
    4. D 1408 cm2
    💡 Explanation:

    TSA of cone = pi x r x (l+r) = 22/7 x 7 x 32 = 704 cm2.

  17. Q17 Past Paper · PPSC/FPSC/NTS medium

    Find the diagonal of a square whose side is 10 cm

    1. A 20 cm
    2. B 10 cm
    3. C 14.14 cm
    4. D 7.07 cm
    💡 Explanation:

    Diagonal of square = side x sqrt(2) = 10 x 1.414 = 14.14 cm.

  18. Q18 medium

    Find the diagonal of a cube whose side is 6 cm

    1. A 10.39 cm
    2. B 6 cm
    3. C 12 cm
    4. D 20.78 cm
    💡 Explanation:

    Diagonal of cube = side x sqrt(3) = 6 x 1.732 = 10.39 cm.

  19. Q19 medium

    A rectangle has length 12 cm and breadth 5 cm. Find its diagonal

    1. A 17 cm
    2. B 7 cm
    3. C 19.5 cm
    4. D 13 cm
    💡 Explanation:

    Diagonal = sqrt(l^2+b^2) = sqrt(144+25) = sqrt(169) = 13 cm.

  20. Q20 hard

    Find the area of a sector of radius 14 cm with a central angle of 90 degrees (use pi = 22/7)

    1. A 308 cm2
    2. B 154 cm2
    3. C 77 cm2
    4. D 616 cm2
    💡 Explanation:

    Sector area = (theta/360) x pi x r^2 = (90/360) x 22/7 x 196 = 154 cm2.

  21. Q21 Past Paper · PPSC/FPSC/NTS hard

    Find the length of an arc of radius 21 cm subtending a central angle of 60 degrees (use pi = 22/7)

    1. A 11 cm
    2. B 44 cm
    3. C 22 cm
    4. D 33 cm
    💡 Explanation:

    Arc length = (theta/360) x 2 x pi x r = (60/360) x 132 = 22 cm.

  22. Q22 hard

    Find the area of a circular ring with outer radius 14 cm and inner radius 7 cm (use pi = 22/7)

    1. A 231 cm2
    2. B 154 cm2
    3. C 308 cm2
    4. D 462 cm2
    💡 Explanation:

    Ring area = pi x (R^2 - r^2) = 22/7 x (196-49) = 22/7 x 147 = 462 cm2.

  23. Q23 Past Paper · PPSC/FPSC/NTS easy

    The area of a square field is 2500 sq m. Find the length of its side

    1. A 50 m
    2. B 625 m
    3. C 100 m
    4. D 25 m
    💡 Explanation:

    Side = square root of area = sqrt(2500) = 50 m.

  24. Q24 Past Paper · PPSC/FPSC/NTS medium

    The area of a circle is 154 cm2. Find its radius (use pi = 22/7)

    1. A 14 cm
    2. B 7 cm
    3. C 21 cm
    4. D 3.5 cm
    💡 Explanation:

    r^2 = area x 7/22 = 154 x 7/22 = 49, so r = 7 cm.

  25. Q25 medium

    A rectangular field is 40 m long and 30 m wide. Find the cost of fencing it at Rs 20 per meter

    1. A Rs 1400
    2. B Rs 2000
    3. C Rs 2800
    4. D Rs 4200
    💡 Explanation:

    Perimeter = 2(40+30) = 140 m. Cost = 140 x 20 = Rs 2800.

  26. Q26 Past Paper · PPSC/FPSC/NTS medium

    Find the cost of carpeting a room 15 m long and 9 m wide at Rs 50 per square meter

    1. A Rs 3375
    2. B Rs 4500
    3. C Rs 5400
    4. D Rs 6750
    💡 Explanation:

    Area = 15 x 9 = 135 sq m. Cost = 135 x 50 = Rs 6750.

  27. Q27 medium

    A cube has a volume of 512 cm3. Find the length of its side

    1. A 8 cm
    2. B 16 cm
    3. C 64 cm
    4. D 4 cm
    💡 Explanation:

    Side = cube root of volume = cube root of 512 = 8 cm.

  28. Q28 Past Paper · PPSC/FPSC/NTS easy

    One hectare is equal to how many square meters

    1. A 1000 sq m
    2. B 100 sq m
    3. C 10000 sq m
    4. D 1000000 sq m
    💡 Explanation:

    By definition, 1 hectare = 10,000 square meters.

  29. Q29 hard

    A cylindrical tank has radius 7 m and height 10 m. Find its volume in litres (use pi = 22/7, 1 m3 = 1000 litres)

    1. A 154000 litres
    2. B 1540000 litres
    3. C 15400 litres
    4. D 15400000 litres
    💡 Explanation:

    Volume = 22/7 x 49 x 10 = 1540 m3 = 1540 x 1000 = 1,540,000 litres.

  30. Q30 Past Paper · PPSC/FPSC/NTS medium

    If the side of a cube becomes 3 times the original, its volume becomes how many times the original

    1. A 9 times
    2. B 3 times
    3. C 27 times
    4. D 81 times
    💡 Explanation:

    Volume is proportional to side^3, so 3^3 = 27 times the original.

  31. Q31 hard

    How many bricks each measuring 25 cm x 10 cm x 5 cm are needed to build a wall 5 m long, 2 m high, and 0.25 m thick

    1. A 2000
    2. B 1000
    3. C 2500
    4. D 1500
    💡 Explanation:

    Wall volume = 500 x 200 x 25 = 2,500,000 cm3. Brick volume = 1250 cm3. Number of bricks = 2,500,000 / 1250 = 2000.

  32. Q32 Past Paper · PPSC/FPSC/NTS easy

    A room is 8 m long, 6 m wide and 4 m high. Find its volume

    1. A 48 m3
    2. B 96 m3
    3. C 144 m3
    4. D 192 m3
    💡 Explanation:

    Volume = l x b x h = 8 x 6 x 4 = 192 m3.

  33. Q33 medium

    Find the area of an equilateral triangle with side 8 cm (use sqrt(3) = 1.732)

    1. A 32 cm2
    2. B 27.71 cm2
    3. C 24 cm2
    4. D 16 cm2
    💡 Explanation:

    Area = (sqrt(3)/4) x side^2 = (1.732/4) x 64 = 27.71 cm2.

  34. Q34 Past Paper · PPSC/FPSC/NTS medium

    If the radius of a circle is doubled, its area becomes how many times the original

    1. A 2 times
    2. B 3 times
    3. C 4 times
    4. D 8 times
    💡 Explanation:

    Area is proportional to r^2, so doubling the radius makes the area 2^2 = 4 times.

  35. Q35 Past Paper · PPSC/FPSC/NTS medium

    A cone and a cylinder have the same base radius and height. The volume of the cone is what fraction of the volume of the cylinder

    1. A 1/2
    2. B 2/3
    3. C 1/4
    4. D 1/3
    💡 Explanation:

    Volume of cone = 1/3 x pi x r^2 x h, while cylinder = pi x r^2 x h, so the cone is 1/3 of the cylinder.

  36. Q36 Past Paper · PPSC/FPSC/NTS easy

    The perimeter of a square field is 96 m. Find its area

    1. A 576 m2
    2. B 288 m2
    3. C 1152 m2
    4. D 2304 m2
    💡 Explanation:

    Side = perimeter/4 = 96/4 = 24 m. Area = 24 x 24 = 576 sq m.

  37. Q37 hard

    A hemispherical bowl has a radius of 3.5 cm. Find its volume (use pi = 22/7)

    1. A 44.92 cm3
    2. B 89.83 cm3
    3. C 179.67 cm3
    4. D 134.75 cm3
    💡 Explanation:

    Volume of hemisphere = 2/3 x pi x r^3 = 2/3 x 22/7 x 42.875 = 89.83 cm3.

  38. Q38 Past Paper · PPSC/FPSC/NTS medium

    Find the area of a trapezium with parallel sides 10 cm and 14 cm and height 6 cm

    1. A 144 cm2
    2. B 72 cm2
    3. C 24 cm2
    4. D 36 cm2
    💡 Explanation:

    Area of trapezium = 1/2 x (sum of parallel sides) x height = 1/2 x 24 x 6 = 72 cm2.

  39. Q39 medium

    Find the area of a rhombus whose diagonals are 16 cm and 12 cm

    1. A 192 cm2
    2. B 28 cm2
    3. C 96 cm2
    4. D 48 cm2
    💡 Explanation:

    Area of rhombus = 1/2 x d1 x d2 = 1/2 x 16 x 12 = 96 cm2.

  40. Q40 Past Paper · PPSC/FPSC/NTS easy

    Find the volume of a cube whose side is 6 cm

    1. A 18 cm3
    2. B 36 cm3
    3. C 72 cm3
    4. D 216 cm3
    💡 Explanation:

    Volume of cube = side^3 = 6 x 6 x 6 = 216 cm3.

  41. Q41 medium

    Find the curved surface area of a cylinder with radius 7 cm and height 15 cm (use pi = 22/7)

    1. A 660 cm2
    2. B 330 cm2
    3. C 1320 cm2
    4. D 220 cm2
    💡 Explanation:

    CSA = 2 x pi x r x h = 2 x 22/7 x 7 x 15 = 660 cm2.

  42. Q42 hard

    Find the volume of a hemisphere with radius 21 cm (use pi = 22/7)

    1. A 19404 cm3
    2. B 9702 cm3
    3. C 38808 cm3
    4. D 29106 cm3
    💡 Explanation:

    Volume of hemisphere = 2/3 x pi x r^3, which is half the volume of a full sphere of same radius = 38808/2 = 19404 cm3.

  43. Q43 Past Paper · PPSC/FPSC/NTS medium

    Find the surface area of a sphere with radius 14 cm (use pi = 22/7)

    1. A 1232 cm2
    2. B 4928 cm2
    3. C 2464 cm2
    4. D 616 cm2
    💡 Explanation:

    Surface area = 4 x pi x r^2 = 4 x 22/7 x 196 = 2464 cm2.

  44. Q44 hard

    Find the volume of a sphere with radius 21 cm (use pi = 22/7)

    1. A 19404 cm3
    2. B 9702 cm3
    3. C 77616 cm3
    4. D 38808 cm3
    💡 Explanation:

    Volume = 4/3 x pi x r^3 = 4/3 x 22/7 x 9261 = 38808 cm3.

  45. Q45 Past Paper · PPSC/FPSC/NTS hard

    Find the total surface area of a cylinder with radius 7 cm and height 10 cm (use pi = 22/7)

    1. A 1540 cm2
    2. B 748 cm2
    3. C 374 cm2
    4. D 1078 cm2
    💡 Explanation:

    TSA = 2 x pi x r x (h+r) = 2 x 22/7 x 7 x 17 = 748 cm2.