Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 27 · 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 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
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.A trapezium has an area of 129 square cm. Its parallel sides are 24 cm and 19 cm. What is the distance between them (in cm)?
5. 5.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
6. 6.A cuboid is 12 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
8. 8.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
9. 9.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
10. 10.The diagonals of a rhombus are 28 cm and 19 cm. What is its area (in square cm)?
11. 11.A cuboid is 3 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
12. 12.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
13. 13.The diagonals of a rhombus are 12 cm and 8 cm. What is its area (in square cm)?
14. 14.A trapezium has an area of 209 square cm. Its parallel sides are 30 cm and 8 cm. What is the distance between them (in cm)?
15. 15.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
16. 16.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
18. 18.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 3 cm long, 5 cm wide and 6 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.A cuboid is 11 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
23. 23.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
24. 24.A trapezium has an area of 532 square cm. Its parallel sides are 29 cm and 27 cm. What is the distance between them (in cm)?
25. 25.A cuboid is 14 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
26. 26.A cuboid is 5 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
27. 27.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
28. 28.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
29. 29.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
31. 31.A cuboid is 7 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
32. 32.A cuboid is 12 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.A cuboid is 6 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has parallel sides of 19 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 20 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?
39. 39.A room is 10 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.A trapezium has an area of 272 square cm. Its parallel sides are 23 cm and 11 cm. What is the distance between them (in cm)?

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