Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 303 · 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 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 5 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
4. 4.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
5. 5.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
6. 6.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
7. 7.A cuboid is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
9. 9.A cuboid is 6 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
10. 10.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
12. 12.A trapezium has an area of 245 square cm. Its parallel sides are 26 cm and 9 cm. What is the distance between them (in cm)?
13. 13.A cuboid is 14 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has parallel sides of 21 cm and 26 cm, and the distance between them is 8 cm. What is its area (in square cm)?
15. 15.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
17. 17.A cuboid is 12 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
18. 18.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
19. 19.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.A cuboid is 8 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.A cuboid is 13 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
23. 23.A cuboid is 5 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
25. 25.A cuboid is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
26. 26.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
28. 28.A trapezium has an area of 110 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
29. 29.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
30. 30.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
31. 31.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.A cuboid is 10 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 18 cm and 26 cm, and the distance between them is 9 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
36. 36.A trapezium has an area of 75 square cm. Its parallel sides are 29 cm and 21 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 6 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
38. 38.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?

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