Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 7 · 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 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
5. 5.A trapezium has an area of 442 square cm. Its parallel sides are 24 cm and 28 cm. What is the distance between them (in cm)?
6. 6.A trapezium has an area of 124 square cm. Its parallel sides are 25 cm and 6 cm. What is the distance between them (in cm)?
7. 7.A trapezium has parallel sides of 4 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 11 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
9. 9.A trapezium has an area of 315 square cm. Its parallel sides are 19 cm and 16 cm. What is the distance between them (in cm)?
10. 10.A trapezium has an area of 171 square cm. Its parallel sides are 11 cm and 8 cm. What is the distance between them (in cm)?
11. 11.A cuboid is 4 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
12. 12.A cuboid is 7 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
13. 13.A trapezium has an area of 45 square cm. Its parallel sides are 10 cm and 8 cm. What is the distance between them (in cm)?
14. 14.The diagonals of a rhombus are 24 cm and 12 cm. What is its area (in square cm)?
15. 15.A trapezium has an area of 58 square cm. Its parallel sides are 5 cm and 24 cm. What is the distance between them (in cm)?
16. 16.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
17. 17.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
20. 20.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
21. 21.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
23. 23.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A cuboid is 15 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 15 cm. What is its area (in square cm)?
26. 26.A trapezium has an area of 119 square cm. Its parallel sides are 12 cm and 5 cm. What is the distance between them (in cm)?
27. 27.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
28. 28.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
29. 29.A cuboid is 14 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 136 square cm. Its parallel sides are 29 cm and 5 cm. What is the distance between them (in cm)?
31. 31.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
32. 32.A room is 6 m long, 3 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 25 cm. What is its total surface area (in square cm)?
34. 34.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.A trapezium has parallel sides of 25 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
36. 36.A cuboid is 6 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A trapezium has parallel sides of 7 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
39. 39.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?

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