Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 280 · 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.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
2. 2.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
3. 3.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
4. 4.A trapezium has an area of 184 square cm. Its parallel sides are 24 cm and 22 cm. What is the distance between them (in cm)?
5. 5.A trapezium has parallel sides of 20 cm and 28 cm, and the distance between them is 11 cm. What is its area (in square cm)?
6. 6.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
7. 7.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
9. 9.A cuboid is 6 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 7 cm. What is its area (in square cm)?
12. 12.A trapezium has an area of 66 square cm. Its parallel sides are 27 cm and 6 cm. What is the distance between them (in cm)?
13. 13.A trapezium has parallel sides of 7 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
16. 16.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.A trapezium has an area of 45 square cm. Its parallel sides are 20 cm and 25 cm. What is the distance between them (in cm)?
18. 18.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
19. 19.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
20. 20.A trapezium has parallel sides of 15 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
21. 21.A trapezium has parallel sides of 26 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
22. 22.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A cuboid is 3 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
26. 26.A trapezium has parallel sides of 14 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
27. 27.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
28. 28.A trapezium has parallel sides of 11 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
29. 29.A cuboid is 15 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
30. 30.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
31. 31.A trapezium has parallel sides of 18 cm and 10 cm, and the distance between them is 16 cm. What is its area (in square cm)?
32. 32.A trapezium has an area of 23 square cm. Its parallel sides are 15 cm and 8 cm. What is the distance between them (in cm)?
33. 33.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
34. 34.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has an area of 51 square cm. Its parallel sides are 10 cm and 24 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 10 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
38. 38.A trapezium has parallel sides of 29 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
39. 39.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
40. 40.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?

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