Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 163 · 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 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 11 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
3. 3.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
4. 4.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 3 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 12 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 25 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
9. 9.A cuboid is 13 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
10. 10.A cuboid is 3 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.The diagonals of a rhombus are 6 cm and 14 cm. What is its area (in square cm)?
12. 12.A cuboid is 7 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
13. 13.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
16. 16.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
17. 17.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 13 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
20. 20.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
21. 21.A trapezium has parallel sides of 12 cm and 30 cm, and the distance between them is 4 cm. What is its area (in square cm)?
22. 22.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
23. 23.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
25. 25.The diagonals of a rhombus are 10 cm and 29 cm. What is its area (in square cm)?
26. 26.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
27. 27.The diagonals of a rhombus are 24 cm and 29 cm. What is its area (in square cm)?
28. 28.A cuboid is 6 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
29. 29.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.A trapezium has parallel sides of 23 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
31. 31.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
32. 32.The diagonals of a rhombus are 30 cm and 30 cm. What is its area (in square cm)?
33. 33.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
34. 34.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
35. 35.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
36. 36.A cuboid is 6 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
37. 37.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
38. 38.A trapezium has an area of 380 square cm. Its parallel sides are 21 cm and 19 cm. What is the distance between them (in cm)?
39. 39.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
40. 40.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?

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