Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 112 · 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 trapezium has an area of 280 square cm. Its parallel sides are 16 cm and 19 cm. What is the distance between them (in cm)?
2. 2.A cuboid is 3 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
3. 3.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?
4. 4.The diagonals of a rhombus are 22 cm and 3 cm. What is its area (in square cm)?
5. 5.A cuboid is 11 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
6. 6.A trapezium has an area of 72 square cm. Its parallel sides are 7 cm and 29 cm. What is the distance between them (in cm)?
7. 7.A cuboid is 5 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
8. 8.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
10. 10.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.A trapezium has an area of 34 square cm. Its parallel sides are 30 cm and 4 cm. What is the distance between them (in cm)?
12. 12.The diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
13. 13.A trapezium has an area of 60 square cm. Its parallel sides are 7 cm and 3 cm. What is the distance between them (in cm)?
14. 14.A cuboid is 3 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
16. 16.A trapezium has an area of 265 square cm. Its parallel sides are 30 cm and 23 cm. What is the distance between them (in cm)?
17. 17.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has an area of 74 square cm. Its parallel sides are 19 cm and 18 cm. What is the distance between them (in cm)?
19. 19.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
20. 20.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
21. 21.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
23. 23.A cuboid is 7 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
25. 25.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
26. 26.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
27. 27.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.A cuboid is 5 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 7 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
30. 30.A cuboid is 3 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.A trapezium has parallel sides of 30 cm and 12 cm, and the distance between them is 13 cm. What is its area (in square cm)?
32. 32.A cuboid is 10 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has parallel sides of 23 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
35. 35.A cuboid is 13 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
36. 36.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
37. 37.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)?
38. 38.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.A trapezium has parallel sides of 13 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
40. 40.The diagonals of a rhombus are 16 cm and 23 cm. What is its area (in square cm)?

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