Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 252 · 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 5 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
2. 2.A cuboid is 15 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
3. 3.A room is 12 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
4. 4.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
5. 5.A cuboid is 12 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
7. 7.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 9 cm and 17 cm, and the distance between them is 11 cm. What is its area (in square cm)?
9. 9.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.A trapezium has an area of 90 square cm. Its parallel sides are 12 cm and 3 cm. What is the distance between them (in cm)?
11. 11.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
12. 12.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
13. 13.The diagonals of a rhombus are 20 cm and 28 cm. What is its area (in square cm)?
14. 14.The diagonals of a rhombus are 14 cm and 30 cm. What is its area (in square cm)?
15. 15.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
16. 16.A trapezium has parallel sides of 6 cm and 12 cm, and the distance between them is 7 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 20 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
18. 18.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)?
19. 19.The diagonals of a rhombus are 24 cm and 27 cm. What is its area (in square cm)?
20. 20.A trapezium has parallel sides of 15 cm and 2 cm, and the distance between them is 14 cm. What is its area (in square cm)?
21. 21.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
22. 22.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.A room is 10 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 11 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.A room is 12 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
27. 27.A cuboid is 6 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.A cuboid is 15 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
29. 29.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 18 cm. What is its area (in square cm)?
30. 30.A cuboid is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
31. 31.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
33. 33.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
34. 34.A trapezium has an area of 26 square cm. Its parallel sides are 9 cm and 4 cm. What is the distance between them (in cm)?
35. 35.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
36. 36.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
37. 37.A cuboid is 4 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
38. 38.A cuboid is 9 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
40. 40.A trapezium has parallel sides of 28 cm and 14 cm, and the distance between them is 13 cm. What is its area (in square cm)?

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