Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 269 · 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 an area of 72 square cm. Its parallel sides are 5 cm and 7 cm. What is the distance between them (in cm)?
2. 2.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has parallel sides of 11 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
4. 4.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 8 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 17 cm. What is its area (in square cm)?
8. 8.A trapezium has an area of 51 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
9. 9.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 26 cm and 15 cm, and the distance between them is 6 cm. What is its area (in square cm)?
11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
12. 12.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
13. 13.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
14. 14.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A cuboid is 15 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 215 square cm. Its parallel sides are 14 cm and 29 cm. What is the distance between them (in cm)?
20. 20.A trapezium has an area of 138 square cm. Its parallel sides are 28 cm and 18 cm. What is the distance between them (in cm)?
21. 21.A cuboid is 9 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
24. 24.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?
25. 25.A trapezium has an area of 98 square cm. Its parallel sides are 17 cm and 11 cm. What is the distance between them (in cm)?
26. 26.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
28. 28.A trapezium has parallel sides of 18 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
29. 29.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
32. 32.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
33. 33.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.A cuboid is 15 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
35. 35.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.A trapezium has parallel sides of 11 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
37. 37.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
38. 38.A cuboid is 13 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 27 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
40. 40.A cuboid is 13 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?

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