Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 324 · 40 sums

The method (Flat parts add up): Trapezium: area = ½ × (a + b) × h. Rhombus: area = ½ × d₁ × d₂. Cuboid: total surface area = 2(lb + bh + hl); four walls = 2h(l + b). Cube: total surface area = 6a²; edge = √(surface area ÷ 6). Missing height of a trapezium = 2 × area ÷ (a + b).

1. 1.A trapezium has an area of 54 square cm. Its parallel sides are 11 cm and 25 cm. What is the distance between them (in cm)?
2. 2.A cuboid is 3 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 6 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
5. 5.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
6. 6.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
7. 7.The diagonals of a rhombus are 12 cm and 28 cm. What is its area (in square cm)?
8. 8.The diagonals of a rhombus are 22 cm and 11 cm. What is its area (in square cm)?
9. 9.A cuboid is 8 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
10. 10.A trapezium has an area of 132 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
11. 11.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
13. 13.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
14. 14.A cuboid is 3 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
15. 15.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A cuboid is 9 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
17. 17.A trapezium has an area of 100 square cm. Its parallel sides are 23 cm and 27 cm. What is the distance between them (in cm)?
18. 18.A trapezium has an area of 72 square cm. Its parallel sides are 12 cm and 6 cm. What is the distance between them (in cm)?
19. 19.A trapezium has parallel sides of 13 cm and 25 cm, and the distance between them is 15 cm. What is its area (in square cm)?
20. 20.A cuboid is 9 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
22. 22.The diagonals of a rhombus are 26 cm and 5 cm. What is its area (in square cm)?
23. 23.A trapezium has parallel sides of 21 cm and 15 cm, and the distance between them is 3 cm. What is its area (in square cm)?
24. 24.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 5 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
26. 26.The diagonals of a rhombus are 14 cm and 22 cm. What is its area (in square cm)?
27. 27.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.The diagonals of a rhombus are 18 cm and 22 cm. What is its area (in square cm)?
29. 29.A trapezium has an area of 312 square cm. Its parallel sides are 28 cm and 24 cm. What is the distance between them (in cm)?
30. 30.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 30 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
32. 32.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
33. 33.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
34. 34.A cuboid is 10 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
35. 35.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
36. 36.A room is 10 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A trapezium has parallel sides of 14 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
39. 39.A cuboid is 5 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?

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