Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 39 · 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 cuboid is 7 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
2. 2.The diagonals of a rhombus are 28 cm and 16 cm. What is its area (in square cm)?
3. 3.A trapezium has an area of 88 square cm. Its parallel sides are 7 cm and 4 cm. What is the distance between them (in cm)?
4. 4.A cuboid is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
5. 5.A cuboid is 3 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
6. 6.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 27 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 8 cm and 30 cm, and the distance between them is 14 cm. What is its area (in square cm)?
9. 9.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?
11. 11.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
12. 12.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
13. 13.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
14. 14.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has an area of 171 square cm. Its parallel sides are 6 cm and 13 cm. What is the distance between them (in cm)?
16. 16.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
17. 17.A trapezium has an area of 168 square cm. Its parallel sides are 16 cm and 26 cm. What is the distance between them (in cm)?
18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
19. 19.A cuboid is 7 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 14 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
21. 21.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
22. 22.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
23. 23.A cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 4 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
25. 25.A cuboid is 13 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
26. 26.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
28. 28.A trapezium has an area of 459 square cm. Its parallel sides are 24 cm and 27 cm. What is the distance between them (in cm)?
29. 29.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
30. 30.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 12 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
32. 32.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
33. 33.A cuboid is 7 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
34. 34.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.A trapezium has parallel sides of 6 cm and 12 cm, and the distance between them is 5 cm. What is its area (in square cm)?
36. 36.A cuboid is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 21 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
38. 38.A cuboid is 4 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has an area of 85 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
40. 40.The diagonals of a rhombus are 4 cm and 11 cm. What is its area (in square cm)?

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