Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 256 · 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 10 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 259 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
3. 3.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 10 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
5. 5.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
6. 6.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
7. 7.A room is 10 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A trapezium has an area of 20 square cm. Its parallel sides are 12 cm and 8 cm. What is the distance between them (in cm)?
10. 10.A cuboid is 8 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 28 cm and 30 cm, and the distance between them is 14 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?
13. 13.The diagonals of a rhombus are 28 cm and 12 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
15. 15.A room is 8 m long, 9 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.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
18. 18.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
19. 19.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
20. 20.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
21. 21.A trapezium has parallel sides of 19 cm and 21 cm, and the distance between them is 20 cm. What is its area (in square cm)?
22. 22.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
23. 23.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 16 cm and 8 cm. What is its area (in square cm)?
25. 25.A trapezium has an area of 315 square cm. Its parallel sides are 7 cm and 28 cm. What is the distance between them (in cm)?
26. 26.A trapezium has parallel sides of 25 cm and 23 cm, and the distance between them is 3 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
28. 28.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
29. 29.A trapezium has parallel sides of 9 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
30. 30.A cuboid is 7 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
31. 31.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
32. 32.A trapezium has parallel sides of 7 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
34. 34.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
35. 35.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has an area of 54 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
37. 37.A trapezium has an area of 320 square cm. Its parallel sides are 11 cm and 29 cm. What is the distance between them (in cm)?
38. 38.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.A cuboid is 8 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has an area of 58 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?

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