Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 188 · 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, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
3. 3.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A cuboid is 14 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
6. 6.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
7. 7.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
8. 8.A cuboid is 5 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
9. 9.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
10. 10.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.A trapezium has an area of 369 square cm. Its parallel sides are 27 cm and 14 cm. What is the distance between them (in cm)?
12. 12.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
13. 13.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.A room is 10 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.A trapezium has an area of 234 square cm. Its parallel sides are 15 cm and 24 cm. What is the distance between them (in cm)?
17. 17.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
18. 18.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
19. 19.A cuboid is 12 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
20. 20.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.A trapezium has an area of 242 square cm. Its parallel sides are 24 cm and 20 cm. What is the distance between them (in cm)?
22. 22.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.A trapezium has parallel sides of 13 cm and 14 cm, and the distance between them is 18 cm. What is its area (in square cm)?
24. 24.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
25. 25.A trapezium has an area of 37 square cm. Its parallel sides are 13 cm and 24 cm. What is the distance between them (in cm)?
26. 26.A cuboid is 14 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
27. 27.A trapezium has an area of 100 square cm. Its parallel sides are 12 cm and 8 cm. What is the distance between them (in cm)?
28. 28.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
29. 29.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.The diagonals of a rhombus are 8 cm and 20 cm. What is its area (in square cm)?
31. 31.A trapezium has parallel sides of 28 cm and 12 cm, and the distance between them is 19 cm. What is its area (in square cm)?
32. 32.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
33. 33.A cuboid is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has parallel sides of 22 cm and 9 cm, and the distance between them is 12 cm. What is its area (in square cm)?
35. 35.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 5 cm. What is its area (in square cm)?
36. 36.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
37. 37.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
39. 39.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
40. 40.A cuboid is 15 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?

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