Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 180 · 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 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 14 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
5. 5.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
6. 6.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
9. 9.A cuboid is 11 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
10. 10.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
11. 11.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
13. 13.A cuboid is 14 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
14. 14.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
16. 16.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
17. 17.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
18. 18.A cuboid is 11 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has parallel sides of 7 cm and 15 cm, and the distance between them is 8 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 2 cm. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
23. 23.A cuboid is 6 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
24. 24.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
26. 26.A trapezium has an area of 380 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
27. 27.A cuboid is 7 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has parallel sides of 9 cm and 19 cm, and the distance between them is 5 cm. What is its area (in square cm)?
29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
30. 30.A trapezium has parallel sides of 12 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
31. 31.A trapezium has an area of 156 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
32. 32.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
33. 33.A cuboid is 9 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has an area of 182 square cm. Its parallel sides are 20 cm and 8 cm. What is the distance between them (in cm)?
35. 35.A trapezium has an area of 320 square cm. Its parallel sides are 24 cm and 16 cm. What is the distance between them (in cm)?
36. 36.A cuboid is 4 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
37. 37.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 14 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
40. 40.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?

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