Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 140 · 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 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
2. 2.A cuboid is 7 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
4. 4.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
5. 5.A trapezium has an area of 280 square cm. Its parallel sides are 17 cm and 11 cm. What is the distance between them (in cm)?
6. 6.The diagonals of a rhombus are 28 cm and 16 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 28 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
8. 8.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
9. 9.A cuboid is 8 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
10. 10.A cuboid is 15 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
12. 12.A cuboid is 7 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
13. 13.The diagonals of a rhombus are 10 cm and 25 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
15. 15.A trapezium has an area of 130 square cm. Its parallel sides are 8 cm and 5 cm. What is the distance between them (in cm)?
16. 16.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
17. 17.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
19. 19.A cuboid is 7 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 30 cm and 12 cm, and the distance between them is 7 cm. What is its area (in square cm)?
21. 21.A trapezium has an area of 160 square cm. Its parallel sides are 12 cm and 28 cm. What is the distance between them (in cm)?
22. 22.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
24. 24.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.A cuboid is 4 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
27. 27.A trapezium has parallel sides of 20 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
28. 28.A trapezium has parallel sides of 11 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
29. 29.A trapezium has parallel sides of 17 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
30. 30.A trapezium has parallel sides of 18 cm and 20 cm, and the distance between them is 4 cm. What is its area (in square cm)?
31. 31.A cuboid is 8 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 6 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
35. 35.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has parallel sides of 14 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
37. 37.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
38. 38.A trapezium has parallel sides of 19 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
39. 39.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 13 cm. What is its area (in square cm)?
40. 40.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

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