Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 64 · 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 diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
2. 2.A trapezium has parallel sides of 4 cm and 23 cm, and the distance between them is 10 cm. What is its area (in square cm)?
3. 3.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
5. 5.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 22 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 12 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
10. 10.A room is 10 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
13. 13.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
14. 14.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
15. 15.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 17 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
20. 20.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
21. 21.A trapezium has an area of 203 square cm. Its parallel sides are 4 cm and 25 cm. What is the distance between them (in cm)?
22. 22.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
23. 23.The diagonals of a rhombus are 30 cm and 14 cm. What is its area (in square cm)?
24. 24.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.A cuboid is 14 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
26. 26.A trapezium has an area of 66 square cm. Its parallel sides are 18 cm and 15 cm. What is the distance between them (in cm)?
27. 27.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
28. 28.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
29. 29.A trapezium has an area of 174 square cm. Its parallel sides are 11 cm and 18 cm. What is the distance between them (in cm)?
30. 30.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
31. 31.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A cuboid is 6 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 5 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
35. 35.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
36. 36.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.A cuboid is 14 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
38. 38.A trapezium has parallel sides of 9 cm and 29 cm, and the distance between them is 17 cm. What is its area (in square cm)?
39. 39.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
40. 40.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?

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