Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 299 · 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 room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
3. 3.A cuboid is 3 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
4. 4.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
5. 5.A room is 11 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
7. 7.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.A trapezium has parallel sides of 21 cm and 15 cm, and the distance between them is 16 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 21 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
10. 10.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
12. 12.A trapezium has an area of 494 square cm. Its parallel sides are 29 cm and 23 cm. What is the distance between them (in cm)?
13. 13.A cuboid is 3 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 13 cm. What is its area (in square cm)?
15. 15.A cuboid is 12 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 6 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
17. 17.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
19. 19.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
20. 20.A cuboid is 3 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 8 cm and 30 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
23. 23.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
24. 24.A cuboid is 5 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 21 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 30 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
27. 27.A trapezium has parallel sides of 28 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
28. 28.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
29. 29.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 28 cm and 23 cm. What is its area (in square cm)?
31. 31.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
32. 32.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
33. 33.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has an area of 135 square cm. Its parallel sides are 23 cm and 22 cm. What is the distance between them (in cm)?
35. 35.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 13 cm. What is its area (in square cm)?
36. 36.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A cuboid is 8 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
39. 39.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
40. 40.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?

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