Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 123 · 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 room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
2. 2.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.A trapezium has an area of 164 square cm. Its parallel sides are 29 cm and 12 cm. What is the distance between them (in cm)?
4. 4.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
5. 5.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.A cuboid is 5 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 29 square cm. Its parallel sides are 14 cm and 15 cm. What is the distance between them (in cm)?
9. 9.The diagonals of a rhombus are 20 cm and 12 cm. What is its area (in square cm)?
10. 10.A trapezium has an area of 98 square cm. Its parallel sides are 11 cm and 3 cm. What is the distance between them (in cm)?
11. 11.The diagonals of a rhombus are 10 cm and 17 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 12 cm and 16 cm. What is its area (in square cm)?
13. 13.A cuboid is 14 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
15. 15.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
16. 16.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
17. 17.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
18. 18.A cuboid is 11 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
19. 19.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.A trapezium has parallel sides of 20 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
21. 21.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?
22. 22.A trapezium has parallel sides of 8 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
23. 23.The diagonals of a rhombus are 12 cm and 14 cm. What is its area (in square cm)?
24. 24.A cuboid is 5 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
26. 26.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
27. 27.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has an area of 19 square cm. Its parallel sides are 7 cm and 12 cm. What is the distance between them (in cm)?
29. 29.A trapezium has parallel sides of 26 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
30. 30.A cuboid is 10 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
31. 31.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
32. 32.A trapezium has parallel sides of 26 cm and 29 cm, and the distance between them is 8 cm. What is its area (in square cm)?
33. 33.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
34. 34.A cuboid is 8 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 360 square cm. Its parallel sides are 18 cm and 22 cm. What is the distance between them (in cm)?
36. 36.The diagonals of a rhombus are 24 cm and 27 cm. What is its area (in square cm)?
37. 37.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
38. 38.A cuboid is 6 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
39. 39.A cuboid is 6 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
40. 40.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?

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