Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 3 · 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 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
2. 2.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.A cuboid is 3 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
4. 4.A trapezium has an area of 217 square cm. Its parallel sides are 6 cm and 25 cm. What is the distance between them (in cm)?
5. 5.A trapezium has parallel sides of 16 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
6. 6.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
7. 7.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
8. 8.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 19 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 23 cm and 26 cm, and the distance between them is 10 cm. What is its area (in square cm)?
10. 10.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
11. 11.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.A cuboid is 3 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
14. 14.The diagonals of a rhombus are 28 cm and 19 cm. What is its area (in square cm)?
15. 15.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
16. 16.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
17. 17.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
18. 18.A trapezium has an area of 160 square cm. Its parallel sides are 15 cm and 5 cm. What is the distance between them (in cm)?
19. 19.A trapezium has parallel sides of 16 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
20. 20.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
21. 21.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A cuboid is 9 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 13 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
24. 24.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
25. 25.A cuboid is 14 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
26. 26.A trapezium has an area of 105 square cm. Its parallel sides are 6 cm and 15 cm. What is the distance between them (in cm)?
27. 27.A cuboid is 6 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 45 square cm. Its parallel sides are 11 cm and 4 cm. What is the distance between them (in cm)?
29. 29.A trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
30. 30.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
31. 31.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
32. 32.A cuboid is 10 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
33. 33.A cuboid is 12 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
34. 34.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.A trapezium has parallel sides of 25 cm and 4 cm, and the distance between them is 4 cm. What is its area (in square cm)?
36. 36.A trapezium has parallel sides of 23 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
37. 37.A trapezium has an area of 36 square cm. Its parallel sides are 5 cm and 19 cm. What is the distance between them (in cm)?
38. 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
39. 39.A cuboid is 7 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has an area of 66 square cm. Its parallel sides are 29 cm and 15 cm. What is the distance between them (in cm)?

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