Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 160 · 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 an area of 265 square cm. Its parallel sides are 26 cm and 27 cm. What is the distance between them (in cm)?
2. 2.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
3. 3.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
4. 4.A trapezium has an area of 477 square cm. Its parallel sides are 24 cm and 29 cm. What is the distance between them (in cm)?
5. 5.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.A trapezium has parallel sides of 7 cm and 25 cm, and the distance between them is 9 cm. What is its area (in square cm)?
7. 7.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 28 cm and 18 cm, and the distance between them is 3 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 20 cm and 20 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
12. 12.A trapezium has an area of 330 square cm. Its parallel sides are 17 cm and 16 cm. What is the distance between them (in cm)?
13. 13.A trapezium has an area of 174 square cm. Its parallel sides are 24 cm and 5 cm. What is the distance between them (in cm)?
14. 14.A cuboid is 13 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
15. 15.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.The diagonals of a rhombus are 24 cm and 21 cm. What is its area (in square cm)?
17. 17.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
18. 18.The diagonals of a rhombus are 30 cm and 17 cm. What is its area (in square cm)?
19. 19.The diagonals of a rhombus are 16 cm and 15 cm. What is its area (in square cm)?
20. 20.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
21. 21.A trapezium has parallel sides of 8 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
22. 22.The diagonals of a rhombus are 28 cm and 30 cm. What is its area (in square cm)?
23. 23.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
25. 25.A cuboid is 9 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
26. 26.A cuboid is 3 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
29. 29.A trapezium has an area of 522 square cm. Its parallel sides are 28 cm and 30 cm. What is the distance between them (in cm)?
30. 30.A cuboid is 13 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
31. 31.A cuboid is 7 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.A room is 6 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.A trapezium has parallel sides of 22 cm and 25 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.A trapezium has an area of 94 square cm. Its parallel sides are 24 cm and 23 cm. What is the distance between them (in cm)?
35. 35.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.The diagonals of a rhombus are 6 cm and 28 cm. What is its area (in square cm)?
37. 37.A trapezium has an area of 128 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
38. 38.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
39. 39.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
40. 40.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

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