Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 28 · 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 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
3. 3.A cuboid is 7 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
4. 4.A cuboid is 5 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 23 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
6. 6.A trapezium has an area of 150 square cm. Its parallel sides are 24 cm and 6 cm. What is the distance between them (in cm)?
7. 7.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 3 cm. What is its area (in square cm)?
8. 8.A cuboid is 3 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
9. 9.A cuboid is 3 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
11. 11.A trapezium has parallel sides of 13 cm and 5 cm, and the distance between them is 9 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
13. 13.A cuboid is 10 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
14. 14.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
15. 15.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
16. 16.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
17. 17.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 17 cm and 15 cm, and the distance between them is 6 cm. What is its area (in square cm)?
19. 19.A trapezium has parallel sides of 10 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
20. 20.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
21. 21.A trapezium has an area of 13 square cm. Its parallel sides are 4 cm and 9 cm. What is the distance between them (in cm)?
22. 22.A trapezium has an area of 408 square cm. Its parallel sides are 29 cm and 22 cm. What is the distance between them (in cm)?
23. 23.A trapezium has parallel sides of 22 cm and 15 cm, and the distance between them is 20 cm. What is its area (in square cm)?
24. 24.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 13 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 30 cm and 10 cm, and the distance between them is 11 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
28. 28.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
29. 29.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
30. 30.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 22 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
32. 32.A trapezium has an area of 203 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
33. 33.A trapezium has an area of 245 square cm. Its parallel sides are 28 cm and 7 cm. What is the distance between them (in cm)?
34. 34.A trapezium has parallel sides of 21 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
36. 36.A cuboid is 8 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
37. 37.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
39. 39.A trapezium has an area of 90 square cm. Its parallel sides are 14 cm and 16 cm. What is the distance between them (in cm)?
40. 40.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?

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