Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 298 · 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.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
2. 2.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)?
3. 3.A trapezium has parallel sides of 8 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
4. 4.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.The diagonals of a rhombus are 26 cm and 3 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 26 cm and 10 cm. What is its area (in square cm)?
7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
8. 8.A trapezium has parallel sides of 24 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
9. 9.A cuboid is 14 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
10. 10.A cuboid is 13 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.A cuboid is 10 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
12. 12.A trapezium has parallel sides of 26 cm and 12 cm, and the distance between them is 11 cm. What is its area (in square cm)?
13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
14. 14.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
17. 17.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
18. 18.A cuboid is 15 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
20. 20.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
21. 21.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has parallel sides of 14 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
23. 23.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.A trapezium has parallel sides of 29 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
25. 25.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
26. 26.A trapezium has an area of 31 square cm. Its parallel sides are 20 cm and 11 cm. What is the distance between them (in cm)?
27. 27.A trapezium has parallel sides of 21 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
28. 28.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
29. 29.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
30. 30.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
31. 31.The diagonals of a rhombus are 30 cm and 21 cm. What is its area (in square cm)?
32. 32.A cuboid is 5 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
35. 35.A cuboid is 10 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
36. 36.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 5 cm and 17 cm, and the distance between them is 19 cm. What is its area (in square cm)?
38. 38.A cuboid is 11 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
39. 39.A cuboid is 11 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
40. 40.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?

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