Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 41 · 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 trapezium has parallel sides of 14 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
2. 2.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
3. 3.A cuboid is 6 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
4. 4.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
6. 6.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 46 square cm. Its parallel sides are 16 cm and 7 cm. What is the distance between them (in cm)?
9. 9.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.A cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 315 square cm. Its parallel sides are 22 cm and 13 cm. What is the distance between them (in cm)?
12. 12.A cuboid is 13 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
13. 13.A trapezium has parallel sides of 7 cm and 10 cm, and the distance between them is 6 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has parallel sides of 12 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
16. 16.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 286 square cm. Its parallel sides are 29 cm and 15 cm. What is the distance between them (in cm)?
19. 19.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
20. 20.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
21. 21.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
22. 22.A cuboid is 12 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 3 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 12 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
25. 25.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
29. 29.A cuboid is 15 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
30. 30.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
31. 31.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 17 cm. What is its area (in square cm)?
32. 32.A trapezium has parallel sides of 23 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 12 cm and 27 cm. What is its area (in square cm)?
34. 34.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
36. 36.A room is 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
38. 38.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
39. 39.A cuboid is 15 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
40. 40.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?

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