Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 159 · 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 16 cm and 22 cm. What is its area (in square cm)?
2. 2.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 273 square cm. Its parallel sides are 29 cm and 13 cm. What is the distance between them (in cm)?
4. 4.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
6. 6.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
8. 8.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 13 cm and 18 cm, and the distance between them is 8 cm. What is its area (in square cm)?
12. 12.A cuboid is 8 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
13. 13.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.A trapezium has an area of 272 square cm. Its parallel sides are 7 cm and 25 cm. What is the distance between them (in cm)?
15. 15.A trapezium has an area of 68 square cm. Its parallel sides are 9 cm and 25 cm. What is the distance between them (in cm)?
16. 16.A cuboid is 7 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
17. 17.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
18. 18.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
19. 19.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.The diagonals of a rhombus are 20 cm and 12 cm. What is its area (in square cm)?
21. 21.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
24. 24.A cuboid is 10 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
25. 25.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
26. 26.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
28. 28.A trapezium has an area of 315 square cm. Its parallel sides are 20 cm and 15 cm. What is the distance between them (in cm)?
29. 29.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
30. 30.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
32. 32.A trapezium has parallel sides of 24 cm and 10 cm, and the distance between them is 6 cm. What is its area (in square cm)?
33. 33.A cuboid is 4 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
34. 34.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
37. 37.A trapezium has an area of 405 square cm. Its parallel sides are 23 cm and 22 cm. What is the distance between them (in cm)?
38. 38.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
39. 39.A cuboid is 11 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
40. 40.A cuboid is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?

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