Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 98 · 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 96 square cm. How long is each edge (in cm)?
2. 2.A cuboid is 3 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.A trapezium has parallel sides of 27 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
4. 4.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
5. 5.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
6. 6.A cuboid is 14 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
7. 7.The diagonals of a rhombus are 20 cm and 13 cm. What is its area (in square cm)?
8. 8.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 9 cm and 7 cm, and the distance between them is 15 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 23 cm and 5 cm, and the distance between them is 15 cm. What is its area (in square cm)?
11. 11.A trapezium has an area of 123 square cm. Its parallel sides are 14 cm and 27 cm. What is the distance between them (in cm)?
12. 12.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
13. 13.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
14. 14.A cuboid is 7 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
15. 15.A trapezium has an area of 34 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
16. 16.A trapezium has an area of 126 square cm. Its parallel sides are 20 cm and 8 cm. What is the distance between them (in cm)?
17. 17.A room is 11 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
19. 19.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 15 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
21. 21.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
23. 23.A trapezium has parallel sides of 15 cm and 14 cm, and the distance between them is 18 cm. What is its area (in square cm)?
24. 24.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
25. 25.A trapezium has an area of 85 square cm. Its parallel sides are 12 cm and 22 cm. What is the distance between them (in cm)?
26. 26.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
29. 29.A cuboid is 11 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
30. 30.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.A cuboid is 13 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
32. 32.A cuboid is 8 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 28 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
34. 34.A trapezium has an area of 59 square cm. Its parallel sides are 29 cm and 30 cm. What is the distance between them (in cm)?
35. 35.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
36. 36.A cuboid is 14 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
37. 37.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
38. 38.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.A trapezium has parallel sides of 15 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square 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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