Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 300 · 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 26 cm and 21 cm. What is its area (in square cm)?
2. 2.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
3. 3.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
4. 4.A trapezium has an area of 540 square cm. Its parallel sides are 29 cm and 25 cm. What is the distance between them (in cm)?
5. 5.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
6. 6.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
10. 10.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
12. 12.A cuboid is 15 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
13. 13.A trapezium has an area of 153 square cm. Its parallel sides are 6 cm and 11 cm. What is the distance between them (in cm)?
14. 14.A cuboid is 4 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
16. 16.A cuboid is 11 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 12 cm and 22 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 4 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.A cuboid is 7 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
22. 22.A trapezium has an area of 45 square cm. Its parallel sides are 17 cm and 28 cm. What is the distance between them (in cm)?
23. 23.The diagonals of a rhombus are 14 cm and 24 cm. What is its area (in square cm)?
24. 24.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
27. 27.A trapezium has parallel sides of 5 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
28. 28.A cuboid is 14 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 4 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 24 cm and 19 cm. What is its area (in square cm)?
31. 31.A trapezium has an area of 189 square cm. Its parallel sides are 16 cm and 5 cm. What is the distance between them (in cm)?
32. 32.A cuboid is 12 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 13 cm and 7 cm, and the distance between them is 3 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 102 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
36. 36.A trapezium has parallel sides of 7 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
37. 37.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
38. 38.A cuboid is 15 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 18 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
40. 40.A cuboid is 15 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?

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