Mensuration

Mensuration is about the size of shapes: perimeter (the boundary), area (the surface) and volume (the space inside). Learn the core formulas and keep the units consistent.

🎯 Try it yourself

Tap an answer. You'll see if it's right, and why. Easy ones come first.

1. Q1Easy

   Perimeter of a 34 cm × 23 cm rectangle?

   1. A782 cm
   2. B114 cm
   3. C120 cm
   4. D91 cm
   Show answer

   Answer: B. 114 cm

   💡 Perimeter = 2 × (34 + 23) = 114 cm.

2. Q2Easy

   Perimeter of a 34 cm × 22 cm rectangle?

   1. A123 cm
   2. B124 cm
   3. C112 cm
   4. D748 cm
   Show answer

   Answer: C. 112 cm

   💡 Perimeter = 2 × (34 + 22) = 112 cm.

3. Q3Easy

   A room is 31 m long and 18 m wide. Find its area.

   1. A589 sq m
   2. B578 sq m
   3. C558 sq m
   4. D49 sq m
   Show answer

   Answer: C. 558 sq m

   💡 Area = length × width = 31 × 18 = 558 sq m.

4. Q4Medium

   Area of a circle of radius 28 cm? (π = 22/7)

   1. A1,232 sq cm
   2. B2,264 sq cm
   3. C2,464 sq cm
   4. D176 sq cm
   Show answer

   Answer: C. 2,464 sq cm

   💡 Area = πr² = 22/7 × 28 × 28 = 2,464 sq cm.

5. Q5Medium

   Area of a circle of radius 21 cm? (π = 22/7)

   1. A5,544 sq cm
   2. B1,386 sq cm
   3. C1,663 sq cm
   4. D1,524 sq cm
   Show answer

   Answer: B. 1,386 sq cm

   💡 Area = πr² = 22/7 × 21 × 21 = 1,386 sq cm.

6. Q6Medium

   Circumference of a circle of radius 14 m? (π = 22/7)

   1. A88 m
   2. B176 m
   3. C44 m
   4. D71 m
   Show answer

   Answer: A. 88 m

   💡 Circumference = 2πr = 2 × 22/7 × 14 = 88 m.

7. Q7Hard

   Fencing a 39 m × 8 m field costs ₹35 per metre. Total cost?

   1. A₹3,619
   2. B₹1,645
   3. C₹3,290
   4. D₹3,640
   Show answer

   Answer: C. ₹3,290

   💡 Perimeter = 2 × (39 + 8) = 94 m, cost = 94 × 35 = ₹3,290.

8. Q8Hard

   A 28 m × 11 m garden has a 4 m wide path all around it outside. Area of the path?

   1. A416 sq m
   2. B376 sq m
   3. C440 sq m
   4. D172 sq m
   Show answer

   Answer: B. 376 sq m

   💡 Outer = 36 × 19 = 684, garden = 308, path = 684 − 308 = 376 sq m.