Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 84 · 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 trapezium has parallel sides of 12 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 52 square cm. Its parallel sides are 4 cm and 9 cm. What is the distance between them (in cm)?
3. 3.A trapezium has parallel sides of 23 cm and 27 cm, and the distance between them is 14 cm. What is its area (in square cm)?
4. 4.A trapezium has an area of 243 square cm. Its parallel sides are 6 cm and 21 cm. What is the distance between them (in cm)?
5. 5.A cuboid is 12 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
6. 6.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
7. 7.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
8. 8.The diagonals of a rhombus are 8 cm and 22 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
10. 10.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
12. 12.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
13. 13.A trapezium has an area of 200 square cm. Its parallel sides are 24 cm and 16 cm. What is the distance between them (in cm)?
14. 14.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
15. 15.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
17. 17.A cuboid is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
18. 18.A trapezium has an area of 243 square cm. Its parallel sides are 25 cm and 2 cm. What is the distance between them (in cm)?
19. 19.A cuboid is 14 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
20. 20.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
21. 21.A trapezium has parallel sides of 19 cm and 18 cm, and the distance between them is 20 cm. What is its area (in square cm)?
22. 22.A cuboid is 13 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 8 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
25. 25.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
26. 26.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.A cuboid is 9 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
28. 28.A room is 10 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
29. 29.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 25 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
32. 32.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
33. 33.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
35. 35.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
37. 37.A trapezium has an area of 62 square cm. Its parallel sides are 20 cm and 11 cm. What is the distance between them (in cm)?
38. 38.A trapezium has parallel sides of 4 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
39. 39.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 15 cm. What is its area (in square cm)?
40. 40.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?

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