Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 111 · 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 total surface area of a cube is 600 square cm. How long is each edge (in cm)?
2. 2.A trapezium has an area of 65 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?
3. 3.A cuboid is 11 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
5. 5.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
6. 6.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
7. 7.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
9. 9.A cuboid is 12 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
10. 10.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
12. 12.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
13. 13.A cuboid is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has an area of 273 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?
15. 15.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
16. 16.A trapezium has parallel sides of 9 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
17. 17.A cuboid is 8 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
18. 18.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
19. 19.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
20. 20.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
22. 22.A trapezium has parallel sides of 11 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
23. 23.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
24. 24.A trapezium has parallel sides of 16 cm and 14 cm, and the distance between them is 17 cm. What is its area (in square cm)?
25. 25.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
26. 26.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
28. 28.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
29. 29.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
31. 31.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
32. 32.A trapezium has parallel sides of 12 cm and 29 cm, and the distance between them is 18 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 14 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
34. 34.A cuboid is 7 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
37. 37.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.The diagonals of a rhombus are 14 cm and 17 cm. What is its area (in square cm)?
39. 39.The diagonals of a rhombus are 18 cm and 24 cm. What is its area (in square cm)?
40. 40.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?

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