Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 246 · 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 24 square cm. How long is each edge (in cm)?
2. 2.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
3. 3.A cuboid is 6 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.A cuboid is 13 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 13 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 4 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
7. 7.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
8. 8.A trapezium has an area of 28 square cm. Its parallel sides are 5 cm and 23 cm. What is the distance between them (in cm)?
9. 9.The diagonals of a rhombus are 30 cm and 23 cm. What is its area (in square cm)?
10. 10.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
11. 11.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.A trapezium has an area of 378 square cm. Its parallel sides are 28 cm and 14 cm. What is the distance between them (in cm)?
13. 13.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
14. 14.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
15. 15.A trapezium has parallel sides of 27 cm and 5 cm, and the distance between them is 15 cm. What is its area (in square cm)?
16. 16.The diagonals of a rhombus are 20 cm and 5 cm. What is its area (in square cm)?
17. 17.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has parallel sides of 28 cm and 19 cm, and the distance between them is 6 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
20. 20.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
21. 21.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.A cuboid is 12 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 3 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 11 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
25. 25.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.The diagonals of a rhombus are 8 cm and 30 cm. What is its area (in square cm)?
27. 27.A cuboid is 7 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
28. 28.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
29. 29.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
30. 30.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
33. 33.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.The diagonals of a rhombus are 10 cm and 23 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
36. 36.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
37. 37.The diagonals of a rhombus are 20 cm and 27 cm. What is its area (in square cm)?
38. 38.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 19 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
40. 40.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

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