Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 271 · 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 1176 square cm. How long is each edge (in cm)?
2. 2.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
3. 3.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 27 cm and 7 cm, and the distance between them is 17 cm. What is its area (in square cm)?
6. 6.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
7. 7.A cuboid is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
9. 9.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
11. 11.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 56 square cm. Its parallel sides are 10 cm and 18 cm. What is the distance between them (in cm)?
13. 13.A trapezium has parallel sides of 6 cm and 8 cm, and the distance between them is 8 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
16. 16.A cuboid is 3 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has parallel sides of 17 cm and 11 cm, and the distance between them is 16 cm. What is its area (in square cm)?
19. 19.A trapezium has parallel sides of 8 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
20. 20.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
21. 21.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
22. 22.A trapezium has parallel sides of 30 cm and 12 cm, and the distance between them is 19 cm. What is its area (in square cm)?
23. 23.A room is 4 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 13 cm and 16 cm, and the distance between them is 10 cm. What is its area (in square cm)?
26. 26.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.A cuboid is 5 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
29. 29.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
31. 31.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
32. 32.A cuboid is 9 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
33. 33.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
35. 35.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
36. 36.A trapezium has an area of 115 square cm. Its parallel sides are 18 cm and 5 cm. What is the distance between them (in cm)?
37. 37.A room is 10 m long, 5 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 20 cm and 24 cm, and the distance between them is 15 cm. What is its area (in square cm)?
39. 39.A trapezium has an area of 165 square cm. Its parallel sides are 29 cm and 4 cm. What is the distance between them (in cm)?
40. 40.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?

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