Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 97 · 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 10 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
2. 2.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
3. 3.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
4. 4.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
5. 5.The diagonals of a rhombus are 24 cm and 25 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 22 cm and 18 cm, and the distance between them is 14 cm. What is its area (in square cm)?
7. 7.The diagonals of a rhombus are 10 cm and 21 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 19 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 26 cm and 23 cm. What is its area (in square cm)?
10. 10.The diagonals of a rhombus are 16 cm and 23 cm. What is its area (in square cm)?
11. 11.A room is 11 m long, 3 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 364 square cm. Its parallel sides are 25 cm and 27 cm. What is the distance between them (in cm)?
13. 13.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
15. 15.A trapezium has parallel sides of 16 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
16. 16.The diagonals of a rhombus are 28 cm and 18 cm. What is its area (in square cm)?
17. 17.The diagonals of a rhombus are 6 cm and 23 cm. What is its area (in square cm)?
18. 18.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
19. 19.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
21. 21.A trapezium has parallel sides of 4 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
22. 22.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has an area of 45 square cm. Its parallel sides are 17 cm and 28 cm. What is the distance between them (in cm)?
26. 26.A cuboid is 4 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
27. 27.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has parallel sides of 24 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
29. 29.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
30. 30.A cuboid is 10 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
31. 31.A cuboid is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
32. 32.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.A cuboid is 11 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has parallel sides of 23 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
35. 35.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
37. 37.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
38. 38.A cuboid is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has an area of 105 square cm. Its parallel sides are 10 cm and 11 cm. What is the distance between them (in cm)?
40. 40.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?

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