Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 266 · 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, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
3. 3.A trapezium has an area of 220 square cm. Its parallel sides are 15 cm and 7 cm. What is the distance between them (in cm)?
4. 4.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 6 cm and 30 cm, and the distance between them is 13 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 28 cm and 25 cm. What is its area (in square cm)?
7. 7.A cuboid is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
9. 9.A cuboid is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
10. 10.A trapezium has an area of 95 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
11. 11.A trapezium has an area of 41 square cm. Its parallel sides are 21 cm and 20 cm. What is the distance between them (in cm)?
12. 12.A cuboid is 3 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
14. 14.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
16. 16.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
17. 17.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 6 cm and 18 cm. What is its area (in square cm)?
19. 19.A cuboid is 11 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
20. 20.A cuboid is 3 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
21. 21.A cuboid is 15 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
23. 23.A cuboid is 14 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
24. 24.The diagonals of a rhombus are 14 cm and 30 cm. What is its area (in square cm)?
25. 25.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
26. 26.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
27. 27.A trapezium has parallel sides of 23 cm and 11 cm, and the distance between them is 9 cm. What is its area (in square cm)?
28. 28.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
30. 30.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
32. 32.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
33. 33.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has an area of 15 square cm. Its parallel sides are 6 cm and 9 cm. What is the distance between them (in cm)?
35. 35.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has parallel sides of 18 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 23 cm and 15 cm, and the distance between them is 9 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?
39. 39.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
40. 40.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?

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