Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 226 · 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 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
2. 2.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
3. 3.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
4. 4.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
5. 5.A trapezium has an area of 63 square cm. Its parallel sides are 23 cm and 19 cm. What is the distance between them (in cm)?
6. 6.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
7. 7.A cuboid is 6 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 23 cm and 15 cm, and the distance between them is 16 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
10. 10.A trapezium has an area of 153 square cm. Its parallel sides are 29 cm and 22 cm. What is the distance between them (in cm)?
11. 11.A trapezium has parallel sides of 30 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
12. 12.A cuboid is 5 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
13. 13.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
15. 15.A cuboid is 5 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.A cuboid is 12 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has parallel sides of 7 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
20. 20.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.A cuboid is 12 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
22. 22.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A trapezium has parallel sides of 23 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
24. 24.A cuboid is 4 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
26. 26.A cuboid is 4 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
27. 27.A cuboid is 13 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
28. 28.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
29. 29.A cuboid is 8 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 9 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
31. 31.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
32. 32.A cuboid is 13 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 26 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
34. 34.A cuboid is 6 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
36. 36.A cuboid is 6 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.A cuboid is 9 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
38. 38.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.A cuboid is 13 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?

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