Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 187 · 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.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
2. 2.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
3. 3.A cuboid is 10 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
4. 4.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
5. 5.A cuboid is 14 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
8. 8.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
9. 9.The diagonals of a rhombus are 30 cm and 9 cm. What is its area (in square cm)?
10. 10.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.A trapezium has parallel sides of 19 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
13. 13.A cuboid is 13 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
14. 14.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.A trapezium has an area of 31 square cm. Its parallel sides are 6 cm and 25 cm. What is the distance between them (in cm)?
16. 16.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.A trapezium has an area of 60 square cm. Its parallel sides are 5 cm and 10 cm. What is the distance between them (in cm)?
18. 18.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
20. 20.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
21. 21.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
22. 22.A cuboid is 6 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
23. 23.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
24. 24.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has an area of 217 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
26. 26.A trapezium has parallel sides of 11 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
28. 28.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
29. 29.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
30. 30.A cuboid is 10 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
31. 31.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
32. 32.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
34. 34.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
35. 35.The diagonals of a rhombus are 10 cm and 25 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 30 cm and 30 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 20 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
38. 38.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
39. 39.A trapezium has parallel sides of 26 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
40. 40.The diagonals of a rhombus are 8 cm and 7 cm. What is its area (in square cm)?

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