Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 273 · 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.A cuboid is 8 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
2. 2.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
3. 3.A cuboid is 10 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
4. 4.A cuboid is 11 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A cuboid is 4 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
6. 6.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
7. 7.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
9. 9.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
11. 11.A cuboid is 7 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
12. 12.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
13. 13.A cuboid is 8 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has an area of 198 square cm. Its parallel sides are 24 cm and 9 cm. What is the distance between them (in cm)?
15. 15.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
16. 16.A trapezium has parallel sides of 8 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
17. 17.A cuboid is 13 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
18. 18.A cuboid is 14 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
19. 19.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
21. 21.A cuboid is 10 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 5 cm and 20 cm, and the distance between them is 18 cm. What is its area (in square cm)?
25. 25.A cuboid is 8 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
26. 26.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
27. 27.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
28. 28.A cuboid is 8 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 15 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
30. 30.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
32. 32.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.A trapezium has parallel sides of 10 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
34. 34.A trapezium has an area of 225 square cm. Its parallel sides are 17 cm and 13 cm. What is the distance between them (in cm)?
35. 35.A cuboid is 13 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
36. 36.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
37. 37.A trapezium has an area of 95 square cm. Its parallel sides are 29 cm and 9 cm. What is the distance between them (in cm)?
38. 38.A trapezium has parallel sides of 16 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
39. 39.A trapezium has an area of 37 square cm. Its parallel sides are 23 cm and 14 cm. What is the distance between them (in cm)?
40. 40.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?

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