Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 171 · 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 13 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
2. 2.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
3. 3.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
4. 4.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
6. 6.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
7. 7.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 231 square cm. Its parallel sides are 15 cm and 18 cm. What is the distance between them (in cm)?
9. 9.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A cuboid is 5 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has parallel sides of 12 cm and 2 cm, and the distance between them is 3 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 20 cm and 13 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 25 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
15. 15.A cuboid is 4 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 19 cm and 10 cm, and the distance between them is 14 cm. What is its area (in square cm)?
17. 17.A cuboid is 13 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
18. 18.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
19. 19.A trapezium has parallel sides of 21 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
20. 20.A cuboid is 13 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
21. 21.A trapezium has parallel sides of 11 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
23. 23.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
24. 24.The diagonals of a rhombus are 10 cm and 28 cm. What is its area (in square cm)?
25. 25.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
26. 26.The diagonals of a rhombus are 30 cm and 5 cm. What is its area (in square cm)?
27. 27.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
29. 29.A cuboid is 3 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
30. 30.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
31. 31.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
32. 32.A cuboid is 5 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has an area of 39 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
34. 34.A cuboid is 9 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
35. 35.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
37. 37.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 4 cm and 21 cm. What is its area (in square cm)?
39. 39.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
40. 40.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

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