Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 279 · 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 trapezium has parallel sides of 5 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
2. 2.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
4. 4.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
6. 6.A cuboid is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
7. 7.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
8. 8.A trapezium has an area of 72 square cm. Its parallel sides are 14 cm and 22 cm. What is the distance between them (in cm)?
9. 9.The diagonals of a rhombus are 20 cm and 25 cm. What is its area (in square cm)?
10. 10.A trapezium has an area of 224 square cm. Its parallel sides are 14 cm and 18 cm. What is the distance between them (in cm)?
11. 11.A cuboid is 14 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
12. 12.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 14 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
14. 14.A cuboid is 14 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
15. 15.A cuboid is 9 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 27 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
17. 17.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
19. 19.A cuboid is 9 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
20. 20.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
21. 21.A cuboid is 4 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
22. 22.A trapezium has parallel sides of 19 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
23. 23.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
24. 24.A cuboid is 13 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.A cuboid is 6 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
26. 26.A cuboid is 7 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
27. 27.A room is 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has an area of 216 square cm. Its parallel sides are 21 cm and 6 cm. What is the distance between them (in cm)?
29. 29.A cuboid is 6 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 22 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
31. 31.A trapezium has an area of 74 square cm. Its parallel sides are 11 cm and 26 cm. What is the distance between them (in cm)?
32. 32.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
33. 33.A trapezium has parallel sides of 22 cm and 25 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
36. 36.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
37. 37.A cuboid is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
38. 38.A cuboid is 4 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
40. 40.The diagonals of a rhombus are 16 cm and 28 cm. What is its area (in square cm)?

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