Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 102 · 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 216 square cm. How long is each edge (in cm)?
2. 2.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
3. 3.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
4. 4.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.A trapezium has parallel sides of 10 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 28 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
7. 7.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.The diagonals of a rhombus are 18 cm and 21 cm. What is its area (in square cm)?
9. 9.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
11. 11.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
13. 13.A trapezium has an area of 86 square cm. Its parallel sides are 25 cm and 18 cm. What is the distance between them (in cm)?
14. 14.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
15. 15.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
16. 16.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 5 cm. What is its area (in square cm)?
18. 18.A cuboid is 9 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 74 square cm. Its parallel sides are 19 cm and 18 cm. What is the distance between them (in cm)?
20. 20.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
21. 21.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
22. 22.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
23. 23.A trapezium has parallel sides of 30 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
24. 24.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
26. 26.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.A cuboid is 10 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has parallel sides of 17 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
29. 29.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
31. 31.A trapezium has parallel sides of 13 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
32. 32.A cuboid is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
34. 34.A trapezium has an area of 52 square cm. Its parallel sides are 7 cm and 6 cm. What is the distance between them (in cm)?
35. 35.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
36. 36.A trapezium has an area of 180 square cm. Its parallel sides are 14 cm and 22 cm. What is the distance between them (in cm)?
37. 37.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
38. 38.A trapezium has an area of 342 square cm. Its parallel sides are 9 cm and 27 cm. What is the distance between them (in cm)?
39. 39.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?

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