Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 282 · 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.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
2. 2.A trapezium has an area of 217 square cm. Its parallel sides are 8 cm and 23 cm. What is the distance between them (in cm)?
3. 3.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
4. 4.A cuboid is 9 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A room is 12 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.A trapezium has parallel sides of 20 cm and 10 cm, and the distance between them is 9 cm. What is its area (in square cm)?
7. 7.A cuboid is 3 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 10 cm and 18 cm. What is its area (in square cm)?
9. 9.A cuboid is 8 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
10. 10.A trapezium has parallel sides of 8 cm and 26 cm, and the distance between them is 3 cm. What is its area (in square cm)?
11. 11.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.A room is 4 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.The diagonals of a rhombus are 10 cm and 27 cm. What is its area (in square cm)?
14. 14.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
15. 15.A trapezium has parallel sides of 12 cm and 6 cm, and the distance between them is 3 cm. What is its area (in square cm)?
16. 16.A trapezium has parallel sides of 9 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
17. 17.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has an area of 234 square cm. Its parallel sides are 15 cm and 24 cm. What is the distance between them (in cm)?
19. 19.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
20. 20.A cuboid is 6 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
21. 21.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
22. 22.The diagonals of a rhombus are 12 cm and 13 cm. What is its area (in square cm)?
23. 23.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A cuboid is 4 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
25. 25.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
26. 26.A trapezium has an area of 324 square cm. Its parallel sides are 22 cm and 14 cm. What is the distance between them (in cm)?
27. 27.The diagonals of a rhombus are 10 cm and 22 cm. What is its area (in square cm)?
28. 28.A cuboid is 6 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 7 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
30. 30.A cuboid is 5 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
31. 31.A cuboid is 15 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
32. 32.A trapezium has an area of 312 square cm. Its parallel sides are 23 cm and 16 cm. What is the distance between them (in cm)?
33. 33.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
34. 34.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.A cuboid is 12 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
36. 36.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
37. 37.A cuboid is 13 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
39. 39.A cuboid is 15 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
40. 40.The diagonals of a rhombus are 10 cm and 17 cm. What is its area (in square cm)?

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