Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 158 · 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 4 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.A trapezium has parallel sides of 25 cm and 11 cm, and the distance between them is 11 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
8. 8.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
9. 9.A trapezium has parallel sides of 30 cm and 9 cm, and the distance between them is 12 cm. What is its area (in square cm)?
10. 10.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
12. 12.A trapezium has an area of 361 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
13. 13.A cuboid is 8 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
14. 14.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.A cuboid is 10 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
16. 16.A cuboid is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has an area of 180 square cm. Its parallel sides are 8 cm and 10 cm. What is the distance between them (in cm)?
19. 19.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 12 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
21. 21.A cuboid is 14 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
23. 23.A cuboid is 7 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
24. 24.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
25. 25.A cuboid is 4 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
26. 26.A trapezium has parallel sides of 15 cm and 27 cm, and the distance between them is 9 cm. What is its area (in square cm)?
27. 27.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
29. 29.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
30. 30.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.A cuboid is 15 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
32. 32.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 7 cm. What is its area (in square cm)?
34. 34.A cuboid is 12 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
36. 36.A cuboid is 12 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
37. 37.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 5 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
39. 39.Each edge of a cube is 6 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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