Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 94 · 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 600 square cm. How long is each edge (in cm)?
2. 2.A trapezium has parallel sides of 13 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
3. 3.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.A trapezium has an area of 240 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
6. 6.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.A trapezium has an area of 48 square cm. Its parallel sides are 15 cm and 9 cm. What is the distance between them (in cm)?
8. 8.A trapezium has an area of 285 square cm. Its parallel sides are 14 cm and 16 cm. What is the distance between them (in cm)?
9. 9.A trapezium has an area of 200 square cm. Its parallel sides are 30 cm and 20 cm. What is the distance between them (in cm)?
10. 10.A trapezium has parallel sides of 20 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
11. 11.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
13. 13.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
14. 14.A trapezium has an area of 264 square cm. Its parallel sides are 21 cm and 12 cm. What is the distance between them (in cm)?
15. 15.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
16. 16.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 28 cm and 27 cm. What is its area (in square cm)?
18. 18.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
19. 19.A cuboid is 7 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 6 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
21. 21.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
23. 23.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
24. 24.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.The diagonals of a rhombus are 30 cm and 17 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
27. 27.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
28. 28.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
29. 29.A trapezium has an area of 400 square cm. Its parallel sides are 30 cm and 20 cm. What is the distance between them (in cm)?
30. 30.The diagonals of a rhombus are 6 cm and 28 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
32. 32.A cuboid is 12 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.A room is 3 m long, 6 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 18 cm and 21 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
36. 36.A trapezium has an area of 25 square cm. Its parallel sides are 21 cm and 4 cm. What is the distance between them (in cm)?
37. 37.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.A trapezium has parallel sides of 26 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
39. 39.A trapezium has an area of 377 square cm. Its parallel sides are 28 cm and 30 cm. What is the distance between them (in cm)?
40. 40.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?

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