Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 142 · 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 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 5 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 240 square cm. Its parallel sides are 14 cm and 10 cm. What is the distance between them (in cm)?
4. 4.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
5. 5.A trapezium has parallel sides of 6 cm and 22 cm, and the distance between them is 15 cm. What is its area (in square cm)?
6. 6.A cuboid is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
7. 7.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
8. 8.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A trapezium has parallel sides of 18 cm and 14 cm, and the distance between them is 13 cm. What is its area (in square cm)?
10. 10.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
12. 12.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
14. 14.A trapezium has an area of 102 square cm. Its parallel sides are 24 cm and 27 cm. What is the distance between them (in cm)?
15. 15.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.A trapezium has parallel sides of 14 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 7 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
20. 20.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has an area of 315 square cm. Its parallel sides are 14 cm and 28 cm. What is the distance between them (in cm)?
23. 23.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A cuboid is 13 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has an area of 42 square cm. Its parallel sides are 13 cm and 29 cm. What is the distance between them (in cm)?
26. 26.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
27. 27.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.A cuboid is 13 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
29. 29.A trapezium has parallel sides of 30 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
30. 30.A room is 8 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.A cuboid is 13 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
32. 32.A trapezium has an area of 60 square cm. Its parallel sides are 16 cm and 8 cm. What is the distance between them (in cm)?
33. 33.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.A cuboid is 8 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.The diagonals of a rhombus are 12 cm and 8 cm. What is its area (in square cm)?
36. 36.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
37. 37.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
38. 38.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?

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