Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 23 · 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 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
2. 2.The diagonals of a rhombus are 14 cm and 24 cm. What is its area (in square cm)?
3. 3.A trapezium has parallel sides of 25 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
4. 4.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
5. 5.A trapezium has an area of 195 square cm. Its parallel sides are 20 cm and 10 cm. What is the distance between them (in cm)?
6. 6.A cuboid is 6 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
8. 8.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
9. 9.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
11. 11.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
12. 12.A trapezium has parallel sides of 22 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
13. 13.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
14. 14.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A cuboid is 5 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
17. 17.A cuboid is 6 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
18. 18.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
19. 19.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.A trapezium has an area of 351 square cm. Its parallel sides are 23 cm and 16 cm. What is the distance between them (in cm)?
21. 21.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
22. 22.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
23. 23.A trapezium has an area of 30 square cm. Its parallel sides are 13 cm and 7 cm. What is the distance between them (in cm)?
24. 24.A trapezium has an area of 72 square cm. Its parallel sides are 6 cm and 12 cm. What is the distance between them (in cm)?
25. 25.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
26. 26.A trapezium has parallel sides of 7 cm and 15 cm, and the distance between them is 11 cm. What is its area (in square cm)?
27. 27.A trapezium has an area of 145 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
28. 28.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
29. 29.A cuboid is 13 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
30. 30.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
31. 31.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
32. 32.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.A cuboid is 7 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has parallel sides of 19 cm and 11 cm, and the distance between them is 7 cm. What is its area (in square cm)?
35. 35.A cuboid is 15 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
36. 36.A cuboid is 8 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 6 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 24 cm and 19 cm. What is its area (in square cm)?
39. 39.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?

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