Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 242 · 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 216 square cm. How long is each edge (in cm)?
2. 2.A cuboid is 9 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 11 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.A trapezium has parallel sides of 22 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
6. 6.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
8. 8.The diagonals of a rhombus are 12 cm and 16 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 18 cm and 22 cm, and the distance between them is 19 cm. What is its area (in square cm)?
10. 10.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
11. 11.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
12. 12.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
13. 13.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.A cuboid is 12 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has an area of 58 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
17. 17.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
18. 18.A cuboid is 14 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has parallel sides of 23 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
20. 20.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
21. 21.A trapezium has parallel sides of 5 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
24. 24.A cuboid is 15 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 22 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 13 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
27. 27.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 180 square cm. Its parallel sides are 22 cm and 8 cm. What is the distance between them (in cm)?
29. 29.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 48 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
31. 31.A room is 3 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.A room is 7 m long, 8 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 384 square cm. How long is each edge (in cm)?
35. 35.A cuboid is 8 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
36. 36.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.A trapezium has an area of 234 square cm. Its parallel sides are 13 cm and 26 cm. What is the distance between them (in cm)?
39. 39.A cuboid is 14 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
40. 40.A cuboid is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?

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