Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 38 · 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.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
2. 2.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 190 square cm. Its parallel sides are 9 cm and 10 cm. What is the distance between them (in cm)?
4. 4.A cuboid is 15 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
5. 5.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.A trapezium has parallel sides of 25 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
8. 8.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
9. 9.A trapezium has an area of 95 square cm. Its parallel sides are 9 cm and 29 cm. What is the distance between them (in cm)?
10. 10.A cuboid is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 12 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 8 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
13. 13.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
14. 14.A cuboid is 6 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
16. 16.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
17. 17.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.The diagonals of a rhombus are 30 cm and 4 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.A trapezium has parallel sides of 8 cm and 26 cm, and the distance between them is 19 cm. What is its area (in square cm)?
21. 21.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
22. 22.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
23. 23.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
24. 24.A cuboid is 6 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has an area of 260 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
26. 26.A cuboid is 9 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
27. 27.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
28. 28.A cuboid is 6 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
29. 29.The diagonals of a rhombus are 14 cm and 19 cm. What is its area (in square cm)?
30. 30.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 26 cm and 16 cm, and the distance between them is 17 cm. What is its area (in square cm)?
32. 32.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
34. 34.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
36. 36.A cuboid is 10 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
37. 37.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
38. 38.A trapezium has an area of 93 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
39. 39.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
40. 40.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?

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