Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 128 · 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.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
2. 2.A trapezium has parallel sides of 5 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
3. 3.A room is 8 m long, 5 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 2400 square cm. How long is each edge (in cm)?
5. 5.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
6. 6.A trapezium has parallel sides of 4 cm and 8 cm, and the distance between them is 3 cm. What is its area (in square cm)?
7. 7.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
9. 9.A room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A trapezium has parallel sides of 4 cm and 2 cm, and the distance between them is 15 cm. What is its area (in square cm)?
11. 11.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 15 square cm. Its parallel sides are 13 cm and 2 cm. What is the distance between them (in cm)?
13. 13.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
14. 14.A cuboid is 9 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
15. 15.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
16. 16.A cuboid is 10 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
17. 17.A trapezium has parallel sides of 21 cm and 19 cm, and the distance between them is 3 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 3 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 4 cm and 23 cm. What is its area (in square cm)?
23. 23.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
24. 24.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.A trapezium has parallel sides of 4 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
26. 26.A trapezium has an area of 423 square cm. Its parallel sides are 30 cm and 17 cm. What is the distance between them (in cm)?
27. 27.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has parallel sides of 20 cm and 13 cm, and the distance between them is 4 cm. What is its area (in square cm)?
29. 29.A cuboid is 4 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 315 square cm. Its parallel sides are 10 cm and 25 cm. What is the distance between them (in cm)?
31. 31.A trapezium has an area of 26 square cm. Its parallel sides are 23 cm and 3 cm. What is the distance between them (in cm)?
32. 32.A trapezium has parallel sides of 4 cm and 28 cm, and the distance between them is 11 cm. What is its area (in square cm)?
33. 33.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
34. 34.A cuboid is 12 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
35. 35.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
36. 36.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
37. 37.A cuboid is 12 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 10 cm and 30 cm. What is its area (in square cm)?
39. 39.A cuboid is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?

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