Mensuration MCQs 2026
45 questions with detailed answers · 23 from past papers · 5 quiz batches available
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- Q1 easy
Find the total surface area of a cube whose side is 5 cm
💡 Explanation:Total surface area of cube = 6 x side^2 = 6 x 25 = 150 cm2.
- Q2 Past Paper · PPSC/FPSC/NTS easy
A cuboid has length 8 cm, breadth 5 cm and height 3 cm. Find its volume
💡 Explanation:Volume of cuboid = l x b x h = 8 x 5 x 3 = 120 cm3.
- Q3 medium
Find the total surface area of a cuboid with length 6 cm, breadth 4 cm and height 3 cm
💡 Explanation:TSA = 2(lb+bh+hl) = 2(24+12+18) = 108 cm2.
- 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)
💡 Explanation:Volume = pi x r^2 x h = 22/7 x 49 x 10 = 1540 cm3.
- Q5 easy
Find the area of a parallelogram with base 12 cm and height 5 cm
💡 Explanation:Area of parallelogram = base x height = 12 x 5 = 60 cm2.
- Q6 easy
Find the circumference of a circle of radius 7 cm (use pi = 22/7)
💡 Explanation:Circumference = 2 x pi x r = 2 x 22/7 x 7 = 44 cm.
- Q7 Past Paper · PPSC/FPSC/NTS easy
Find the area of a triangle with base 10 cm and height 8 cm
💡 Explanation:Area of triangle = 1/2 x base x height = 1/2 x 10 x 8 = 40 cm2.
- Q8 easy
A rectangle has length 15 m and breadth 9 m. Find its perimeter
💡 Explanation:Perimeter = 2(l+b) = 2(15+9) = 48 m.
- Q9 Past Paper · PPSC/FPSC/NTS medium
Find the area of a circle of radius 14 cm (use pi = 22/7)
💡 Explanation:Area = pi x r^2 = 22/7 x 14 x 14 = 616 cm2.
- Q10 Past Paper · PPSC/FPSC/NTS easy
Find the area of a square whose side is 12 cm
💡 Explanation:Area of a square = side x side = 12 x 12 = 144 cm2.
- Q11 medium
Find the curved surface area of a hemisphere with radius 7 cm (use pi = 22/7)
💡 Explanation:CSA of hemisphere = 2 x pi x r^2 = 2 x 22/7 x 49 = 308 cm2.
- Q12 Past Paper · PPSC/FPSC/NTS hard
Find the total surface area of a hemisphere with radius 7 cm (use pi = 22/7)
💡 Explanation:TSA of hemisphere = 3 x pi x r^2 = 3 x 22/7 x 49 = 462 cm2.
- Q13 medium
Find the volume of a cone with radius 7 cm and height 24 cm (use pi = 22/7)
💡 Explanation:Volume of cone = 1/3 x pi x r^2 x h = 1/3 x 22/7 x 49 x 24 = 1232 cm3.
- Q14 Past Paper · PPSC/FPSC/NTS medium
A cone has radius 7 cm and height 24 cm. Find its slant height
💡 Explanation:Slant height l = sqrt(r^2+h^2) = sqrt(49+576) = sqrt(625) = 25 cm.
- Q15 medium
Find the curved surface area of a cone with radius 7 cm and slant height 25 cm (use pi = 22/7)
💡 Explanation:CSA of cone = pi x r x l = 22/7 x 7 x 25 = 550 cm2.
- 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)
💡 Explanation:TSA of cone = pi x r x (l+r) = 22/7 x 7 x 32 = 704 cm2.
- Q17 Past Paper · PPSC/FPSC/NTS medium
Find the diagonal of a square whose side is 10 cm
💡 Explanation:Diagonal of square = side x sqrt(2) = 10 x 1.414 = 14.14 cm.
- Q18 medium
Find the diagonal of a cube whose side is 6 cm
💡 Explanation:Diagonal of cube = side x sqrt(3) = 6 x 1.732 = 10.39 cm.
- Q19 medium
A rectangle has length 12 cm and breadth 5 cm. Find its diagonal
💡 Explanation:Diagonal = sqrt(l^2+b^2) = sqrt(144+25) = sqrt(169) = 13 cm.
- Q20 hard
Find the area of a sector of radius 14 cm with a central angle of 90 degrees (use pi = 22/7)
💡 Explanation:Sector area = (theta/360) x pi x r^2 = (90/360) x 22/7 x 196 = 154 cm2.
- 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)
💡 Explanation:Arc length = (theta/360) x 2 x pi x r = (60/360) x 132 = 22 cm.
- Q22 hard
Find the area of a circular ring with outer radius 14 cm and inner radius 7 cm (use pi = 22/7)
💡 Explanation:Ring area = pi x (R^2 - r^2) = 22/7 x (196-49) = 22/7 x 147 = 462 cm2.
- Q23 Past Paper · PPSC/FPSC/NTS easy
The area of a square field is 2500 sq m. Find the length of its side
💡 Explanation:Side = square root of area = sqrt(2500) = 50 m.
- Q24 Past Paper · PPSC/FPSC/NTS medium
The area of a circle is 154 cm2. Find its radius (use pi = 22/7)
💡 Explanation:r^2 = area x 7/22 = 154 x 7/22 = 49, so r = 7 cm.
- Q25 medium
A rectangular field is 40 m long and 30 m wide. Find the cost of fencing it at Rs 20 per meter
💡 Explanation:Perimeter = 2(40+30) = 140 m. Cost = 140 x 20 = Rs 2800.
- 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
💡 Explanation:Area = 15 x 9 = 135 sq m. Cost = 135 x 50 = Rs 6750.
- Q27 medium
A cube has a volume of 512 cm3. Find the length of its side
💡 Explanation:Side = cube root of volume = cube root of 512 = 8 cm.
- Q28 Past Paper · PPSC/FPSC/NTS easy
One hectare is equal to how many square meters
💡 Explanation:By definition, 1 hectare = 10,000 square meters.
- 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)
💡 Explanation:Volume = 22/7 x 49 x 10 = 1540 m3 = 1540 x 1000 = 1,540,000 litres.
- 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
💡 Explanation:Volume is proportional to side^3, so 3^3 = 27 times the original.
- 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
💡 Explanation:Wall volume = 500 x 200 x 25 = 2,500,000 cm3. Brick volume = 1250 cm3. Number of bricks = 2,500,000 / 1250 = 2000.
- Q32 Past Paper · PPSC/FPSC/NTS easy
A room is 8 m long, 6 m wide and 4 m high. Find its volume
💡 Explanation:Volume = l x b x h = 8 x 6 x 4 = 192 m3.
- Q33 medium
Find the area of an equilateral triangle with side 8 cm (use sqrt(3) = 1.732)
💡 Explanation:Area = (sqrt(3)/4) x side^2 = (1.732/4) x 64 = 27.71 cm2.
- Q34 Past Paper · PPSC/FPSC/NTS medium
If the radius of a circle is doubled, its area becomes how many times the original
💡 Explanation:Area is proportional to r^2, so doubling the radius makes the area 2^2 = 4 times.
- 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
💡 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.
- Q36 Past Paper · PPSC/FPSC/NTS easy
The perimeter of a square field is 96 m. Find its area
💡 Explanation:Side = perimeter/4 = 96/4 = 24 m. Area = 24 x 24 = 576 sq m.
- Q37 hard
A hemispherical bowl has a radius of 3.5 cm. Find its volume (use pi = 22/7)
💡 Explanation:Volume of hemisphere = 2/3 x pi x r^3 = 2/3 x 22/7 x 42.875 = 89.83 cm3.
- 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
💡 Explanation:Area of trapezium = 1/2 x (sum of parallel sides) x height = 1/2 x 24 x 6 = 72 cm2.
- Q39 medium
Find the area of a rhombus whose diagonals are 16 cm and 12 cm
💡 Explanation:Area of rhombus = 1/2 x d1 x d2 = 1/2 x 16 x 12 = 96 cm2.
- Q40 Past Paper · PPSC/FPSC/NTS easy
Find the volume of a cube whose side is 6 cm
💡 Explanation:Volume of cube = side^3 = 6 x 6 x 6 = 216 cm3.
- Q41 medium
Find the curved surface area of a cylinder with radius 7 cm and height 15 cm (use pi = 22/7)
💡 Explanation:CSA = 2 x pi x r x h = 2 x 22/7 x 7 x 15 = 660 cm2.
- Q42 hard
Find the volume of a hemisphere with radius 21 cm (use pi = 22/7)
💡 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.
- Q43 Past Paper · PPSC/FPSC/NTS medium
Find the surface area of a sphere with radius 14 cm (use pi = 22/7)
💡 Explanation:Surface area = 4 x pi x r^2 = 4 x 22/7 x 196 = 2464 cm2.
- Q44 hard
Find the volume of a sphere with radius 21 cm (use pi = 22/7)
💡 Explanation:Volume = 4/3 x pi x r^3 = 4/3 x 22/7 x 9261 = 38808 cm3.
- 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)
💡 Explanation:TSA = 2 x pi x r x (h+r) = 2 x 22/7 x 7 x 17 = 748 cm2.