Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 67 · 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 cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
2. 2.A cuboid is 9 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
3. 3.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
4. 4.The diagonals of a rhombus are 28 cm and 10 cm. What is its area (in square cm)?
5. 5.A trapezium has an area of 55 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
6. 6.A trapezium has an area of 255 square cm. Its parallel sides are 21 cm and 9 cm. What is the distance between them (in cm)?
7. 7.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
9. 9.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
10. 10.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
11. 11.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
12. 12.A trapezium has parallel sides of 28 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 15 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
14. 14.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
16. 16.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
17. 17.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
18. 18.A trapezium has parallel sides of 26 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
19. 19.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.The diagonals of a rhombus are 4 cm and 17 cm. What is its area (in square cm)?
21. 21.A cuboid is 9 cm long, 9 cm wide and 4 cm high. 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.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
24. 24.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.The diagonals of a rhombus are 10 cm and 30 cm. What is its area (in square cm)?
27. 27.A trapezium has an area of 70 square cm. Its parallel sides are 8 cm and 2 cm. What is the distance between them (in cm)?
28. 28.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.A cuboid is 4 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
30. 30.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 4 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
32. 32.The diagonals of a rhombus are 10 cm and 25 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 8 cm and 20 cm, and the distance between them is 9 cm. What is its area (in square cm)?
34. 34.A trapezium has parallel sides of 20 cm and 14 cm, and the distance between them is 16 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
36. 36.A cuboid is 12 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 30 cm and 6 cm, and the distance between them is 7 cm. What is its area (in square cm)?
38. 38.A cuboid is 9 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
39. 39.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?

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