Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 110 · 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.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
2. 2.The diagonals of a rhombus are 14 cm and 3 cm. What is its area (in square cm)?
3. 3.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
4. 4.A room is 5 m long, 5 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 30 cm and 21 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 4 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
7. 7.A trapezium has an area of 165 square cm. Its parallel sides are 19 cm and 11 cm. What is the distance between them (in cm)?
8. 8.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A trapezium has parallel sides of 17 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?
10. 10.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
11. 11.A trapezium has parallel sides of 10 cm and 15 cm, and the distance between them is 6 cm. What is its area (in square cm)?
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 parallel sides of 11 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
14. 14.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 16 cm. What is its area (in square cm)?
15. 15.A trapezium has an area of 120 square cm. Its parallel sides are 11 cm and 9 cm. What is the distance between them (in cm)?
16. 16.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
17. 17.A trapezium has parallel sides of 12 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 196 square cm. Its parallel sides are 13 cm and 15 cm. What is the distance between them (in cm)?
19. 19.A trapezium has an area of 272 square cm. Its parallel sides are 25 cm and 7 cm. What is the distance between them (in cm)?
20. 20.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
21. 21.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
22. 22.A cuboid is 4 cm long, 6 cm wide and 5 cm high. 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 11 cm. What is its area (in square cm)?
25. 25.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.A trapezium has parallel sides of 19 cm and 21 cm, and the distance between them is 5 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?
28. 28.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
29. 29.A trapezium has parallel sides of 4 cm and 6 cm, and the distance between them is 13 cm. What is its area (in square cm)?
30. 30.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
31. 31.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
32. 32.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
33. 33.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
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, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
37. 37.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
39. 39.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 17 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?

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