Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 45 · 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 room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 14 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 10 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
4. 4.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
5. 5.A trapezium has parallel sides of 7 cm and 25 cm, and the distance between them is 17 cm. What is its area (in square cm)?
6. 6.A cuboid is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
7. 7.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.The diagonals of a rhombus are 26 cm and 26 cm. What is its area (in square cm)?
9. 9.A cuboid is 5 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
10. 10.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
11. 11.A cuboid is 10 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 225 square cm. Its parallel sides are 15 cm and 30 cm. What is the distance between them (in cm)?
13. 13.A trapezium has an area of 50 square cm. Its parallel sides are 21 cm and 4 cm. What is the distance between them (in cm)?
14. 14.A cuboid is 6 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
15. 15.A trapezium has an area of 20 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
16. 16.A trapezium has an area of 216 square cm. Its parallel sides are 10 cm and 14 cm. What is the distance between them (in cm)?
17. 17.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has an area of 19 square cm. Its parallel sides are 17 cm and 2 cm. What is the distance between them (in cm)?
19. 19.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
20. 20.A trapezium has parallel sides of 17 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
21. 21.A cuboid is 13 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
22. 22.A trapezium has parallel sides of 12 cm and 14 cm, and the distance between them is 5 cm. What is its area (in square cm)?
23. 23.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
24. 24.A trapezium has an area of 147 square cm. Its parallel sides are 5 cm and 16 cm. What is the distance between them (in cm)?
25. 25.A trapezium has an area of 42 square cm. Its parallel sides are 26 cm and 16 cm. What is the distance between them (in cm)?
26. 26.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
27. 27.A trapezium has an area of 84 square cm. Its parallel sides are 9 cm and 12 cm. What is the distance between them (in cm)?
28. 28.The diagonals of a rhombus are 12 cm and 28 cm. What is its area (in square cm)?
29. 29.A trapezium has parallel sides of 14 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
30. 30.A trapezium has parallel sides of 27 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
32. 32.A cuboid is 13 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 17 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
34. 34.A trapezium has parallel sides of 16 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
35. 35.A trapezium has parallel sides of 15 cm and 28 cm, and the distance between them is 12 cm. What is its area (in square cm)?
36. 36.A trapezium has an area of 290 square cm. Its parallel sides are 8 cm and 21 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 5 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
39. 39.A trapezium has parallel sides of 6 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
40. 40.A trapezium has parallel sides of 21 cm and 23 cm, and the distance between them is 13 cm. What is its area (in square cm)?

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