Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 96 · 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 357 square cm. Its parallel sides are 30 cm and 12 cm. What is the distance between them (in cm)?
2. 2.A trapezium has an area of 111 square cm. Its parallel sides are 22 cm and 15 cm. What is the distance between them (in cm)?
3. 3.A trapezium has an area of 51 square cm. Its parallel sides are 28 cm and 6 cm. What is the distance between them (in cm)?
4. 4.A trapezium has parallel sides of 25 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
5. 5.A trapezium has an area of 55 square cm. Its parallel sides are 7 cm and 15 cm. What is the distance between them (in cm)?
6. 6.A cuboid is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
7. 7.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
8. 8.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 10 cm. What is its area (in square cm)?
9. 9.A trapezium has an area of 92 square cm. Its parallel sides are 16 cm and 30 cm. What is the distance between them (in cm)?
10. 10.A trapezium has parallel sides of 24 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
11. 11.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
12. 12.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
13. 13.A trapezium has an area of 110 square cm. Its parallel sides are 26 cm and 29 cm. What is the distance between them (in cm)?
14. 14.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?
15. 15.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
16. 16.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
17. 17.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
18. 18.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
19. 19.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
21. 21.A trapezium has parallel sides of 18 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
22. 22.A trapezium has parallel sides of 29 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
23. 23.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
24. 24.A cuboid is 6 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
25. 25.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
26. 26.A trapezium has an area of 130 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
27. 27.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
29. 29.A cuboid is 6 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
30. 30.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
31. 31.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
32. 32.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
33. 33.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
34. 34.A trapezium has an area of 200 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
35. 35.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 16 cm and 15 cm. What is its area (in square cm)?
37. 37.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
38. 38.A trapezium has parallel sides of 29 cm and 5 cm, and the distance between them is 15 cm. What is its area (in square cm)?
39. 39.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
40. 40.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?

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