Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 95 · 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 cuboid is 7 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
2. 2.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
4. 4.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
5. 5.A trapezium has parallel sides of 26 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
7. 7.A room is 7 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
10. 10.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
11. 11.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
13. 13.A trapezium has an area of 297 square cm. Its parallel sides are 24 cm and 9 cm. What is the distance between them (in cm)?
14. 14.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
15. 15.A cuboid is 12 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
16. 16.A cuboid is 4 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
18. 18.A trapezium has parallel sides of 9 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
19. 19.A trapezium has an area of 360 square cm. Its parallel sides are 13 cm and 27 cm. What is the distance between them (in cm)?
20. 20.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
21. 21.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
23. 23.A cuboid is 10 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 23 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
25. 25.A trapezium has parallel sides of 10 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
26. 26.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
29. 29.A trapezium has an area of 80 square cm. Its parallel sides are 6 cm and 26 cm. What is the distance between them (in cm)?
30. 30.A trapezium has an area of 36 square cm. Its parallel sides are 9 cm and 3 cm. What is the distance between them (in cm)?
31. 31.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
32. 32.The diagonals of a rhombus are 24 cm and 19 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 22 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
34. 34.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has parallel sides of 15 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
37. 37.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
38. 38.A cuboid is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
40. 40.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

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