Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 197 · 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.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 312 square cm. Its parallel sides are 26 cm and 13 cm. What is the distance between them (in cm)?
3. 3.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?
4. 4.A cuboid is 11 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
5. 5.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
6. 6.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
7. 7.A trapezium has an area of 110 square cm. Its parallel sides are 15 cm and 29 cm. What is the distance between them (in cm)?
8. 8.A cuboid is 12 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
9. 9.A trapezium has parallel sides of 24 cm and 19 cm, and the distance between them is 12 cm. What is its area (in square cm)?
10. 10.A cuboid is 6 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 8 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
14. 14.A cuboid is 9 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
16. 16.A cuboid is 9 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
17. 17.A cuboid is 3 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
18. 18.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
19. 19.A trapezium has parallel sides of 26 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
20. 20.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
21. 21.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
23. 23.A cuboid is 14 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 5 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 13 cm and 23 cm, and the distance between them is 15 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 8 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
27. 27.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
28. 28.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
30. 30.A trapezium has parallel sides of 25 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
31. 31.A trapezium has parallel sides of 6 cm and 29 cm, and the distance between them is 18 cm. What is its area (in square cm)?
32. 32.A cuboid is 10 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.The diagonals of a rhombus are 4 cm and 21 cm. What is its area (in square cm)?
35. 35.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
36. 36.A trapezium has parallel sides of 16 cm and 6 cm, and the distance between them is 17 cm. What is its area (in square cm)?
37. 37.A cuboid is 15 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
38. 38.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
39. 39.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?

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