Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 153 · 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 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 5 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 3 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
4. 4.A cuboid is 9 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.A trapezium has an area of 209 square cm. Its parallel sides are 8 cm and 14 cm. What is the distance between them (in cm)?
7. 7.A trapezium has parallel sides of 21 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
8. 8.A cuboid is 13 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
9. 9.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 7 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
11. 11.A trapezium has parallel sides of 28 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 12 cm and 12 cm. What is its area (in square cm)?
13. 13.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.A trapezium has an area of 203 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
15. 15.A trapezium has parallel sides of 13 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
16. 16.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
17. 17.A cuboid is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
18. 18.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
19. 19.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.A trapezium has an area of 312 square cm. Its parallel sides are 27 cm and 25 cm. What is the distance between them (in cm)?
21. 21.A cuboid is 15 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
23. 23.A trapezium has parallel sides of 12 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
24. 24.A trapezium has an area of 184 square cm. Its parallel sides are 20 cm and 3 cm. What is the distance between them (in cm)?
25. 25.A trapezium has parallel sides of 6 cm and 13 cm, and the distance between them is 8 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 11 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
27. 27.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
29. 29.A room is 12 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
31. 31.A trapezium has an area of 343 square cm. Its parallel sides are 30 cm and 19 cm. What is the distance between them (in cm)?
32. 32.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 25 cm and 26 cm, and the distance between them is 8 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
35. 35.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
36. 36.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A trapezium has parallel sides of 15 cm and 20 cm, and the distance between them is 12 cm. What is its area (in square cm)?
38. 38.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
39. 39.A cuboid is 4 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 15 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?

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