Mensuration (2D & 3D) for IBPS Clerk 2026: FREE Practice PDF & Live Quiz

1. The length and breadth of a rectangle are in the ratio 5:3. If its perimeter is 96 cm, what is its area?

2. The diagonal of a square is 14√2 cm. What is the area of the square?

3. The diagonal of a rectangle is 25 cm and its breadth is 15 cm. Find its area.

4. A rectangular park is 60 m long and 40 m broad. A path 5 m wide runs outside it. Find the area of the path.

5. The area of a circle is 154 cm². What is its circumference? (Use π = 22/7)

6. A quadrant has radius 14 cm. Find its perimeter, including the two radii. (Use π = 22/7)

7. A wheel of radius 35 cm makes 200 complete revolutions. What distance does it cover?

8. The radii of two circles are in the ratio 3:5. What is the ratio of their areas?

9. A wire forms a circle of radius 21 cm. The same wire is reshaped into a square. Find the area of the square. (Use π = 22/7)

10. A right-angled triangle has perpendicular sides 15 cm and 20 cm. Find its perimeter.

11. Find the area of a parallelogram whose base is 32 cm and corresponding height is 15 cm.

12. The parallel sides of a trapezium are 18 cm and 30 cm, and its height is 12 cm. Find its area.

13. An isosceles triangle has equal sides of 13 cm each and base 10 cm. Find its area.

14. A floor is 12 m long and 9 m broad. It is covered with square tiles of side 30 cm. How many tiles are required?

15. The side of a square is reduced by 20%. By what percentage does its area decrease?

16. A rectangle is 28 cm long and 14 cm broad. A semicircle with diameter 14 cm is attached externally along one breadth. Find the total area of the figure. (Use π = 22/7)

17. A rectangular field is 45 m long and 30 m broad. Find the cost of fencing it three times at Rs. 8 per metre.

18. The parallel sides of a trapezium-shaped field are 40 m and 60 m, and the distance between them is 25 m. Find the cost of levelling it at Rs. 12 per m².

19. The volume of a cuboid is 720 cm³. Its length is 12 cm and breadth is 10 cm. Find its height.

20. Find the volume of a cube whose side is 7 cm.

21. The length, breadth and height of a cuboid are in the ratio 3:2:1. If its volume is 1296 cm³, find its total surface area.

22. Find the volume of a cylinder of radius 7 cm and height 10 cm. (Use π = 22/7)

23. For a cylinder, the ratio of volume to curved surface area is 7:2. Find its radius.

24. A cylindrical tank has radius 3.5 m and height 4 m. Find its capacity in litres. (Use π = 22/7)

25. Find the volume of a cone of radius 7 cm and height 12 cm. (Use π = 22/7)

26. The radius and height of a cone are 14 cm and 48 cm respectively. Find its slant height.

27. A conical tent has radius 14 m and height 48 m. Find the canvas required to make the tent, excluding the floor. (Use π = 22/7)

28. Find the curved surface area of a hemisphere of radius 7 cm. (Use π = 22/7)

29. If the radius of a sphere is doubled, how many times does its volume become?

30. A solid sphere of radius 14 cm is melted to form 8 identical smaller spheres. Find the radius of each smaller sphere.