Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 150 · 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 16 cm. What is its total surface area (in square cm)?
2. 2.A cuboid is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
3. 3.The diagonals of a rhombus are 16 cm and 27 cm. What is its area (in square cm)?
4. 4.A trapezium has an area of 120 square cm. Its parallel sides are 18 cm and 6 cm. What is the distance between them (in cm)?
5. 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
6. 6.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
8. 8.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
9. 9.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
10. 10.A cuboid is 14 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
11. 11.A room is 12 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.A trapezium has an area of 136 square cm. Its parallel sides are 5 cm and 11 cm. What is the distance between them (in cm)?
13. 13.A trapezium has parallel sides of 20 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
14. 14.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.A trapezium has an area of 39 square cm. Its parallel sides are 22 cm and 17 cm. What is the distance between them (in cm)?
16. 16.A trapezium has parallel sides of 5 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
17. 17.A cuboid is 8 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
19. 19.A trapezium has an area of 198 square cm. Its parallel sides are 23 cm and 10 cm. What is the distance between them (in cm)?
20. 20.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
21. 21.A cuboid is 8 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
22. 22.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
23. 23.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 6 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
25. 25.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.The diagonals of a rhombus are 6 cm and 15 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
28. 28.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
29. 29.A trapezium has parallel sides of 20 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
30. 30.A trapezium has an area of 69 square cm. Its parallel sides are 12 cm and 11 cm. What is the distance between them (in cm)?
31. 31.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
32. 32.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
33. 33.The diagonals of a rhombus are 24 cm and 5 cm. What is its area (in square cm)?
34. 34.A cuboid is 15 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 185 square cm. Its parallel sides are 18 cm and 19 cm. What is the distance between them (in cm)?
36. 36.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
37. 37.A trapezium has parallel sides of 24 cm and 8 cm, and the distance between them is 11 cm. What is its area (in square cm)?
38. 38.A trapezium has parallel sides of 13 cm and 7 cm, and the distance between them is 9 cm. What is its area (in square cm)?
39. 39.A cuboid is 10 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 14 cm and 10 cm, and the distance between them is 17 cm. What is its area (in square cm)?

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