Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 129 · 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 parallel sides of 29 cm and 25 cm, and the distance between them is 4 cm. What is its area (in square cm)?
2. 2.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
5. 5.A cuboid is 3 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
6. 6.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
9. 9.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
10. 10.A cuboid is 15 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 21 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
13. 13.A cuboid is 4 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has an area of 405 square cm. Its parallel sides are 30 cm and 24 cm. What is the distance between them (in cm)?
15. 15.A cuboid is 4 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
16. 16.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
17. 17.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 14 cm and 26 cm, and the distance between them is 13 cm. What is its area (in square cm)?
19. 19.A cuboid is 12 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
20. 20.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
21. 21.A trapezium has an area of 414 square cm. Its parallel sides are 16 cm and 30 cm. What is the distance between them (in cm)?
22. 22.A cuboid is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
23. 23.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.The diagonals of a rhombus are 22 cm and 26 cm. What is its area (in square cm)?
25. 25.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
26. 26.A trapezium has parallel sides of 7 cm and 3 cm, and the distance between them is 15 cm. What is its area (in square cm)?
27. 27.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
28. 28.A cuboid is 15 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
29. 29.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
30. 30.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 12 cm and 14 cm. What is its area (in square cm)?
34. 34.A cuboid is 6 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has parallel sides of 16 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
36. 36.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
38. 38.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
39. 39.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?

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