Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 292 · 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 150 square cm. How long is each edge (in cm)?
2. 2.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
4. 4.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.A cuboid is 14 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
6. 6.A cuboid is 8 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
7. 7.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 28 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 17 cm. What is its area (in square cm)?
10. 10.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
11. 11.A trapezium has parallel sides of 13 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
12. 12.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.A trapezium has an area of 129 square cm. Its parallel sides are 22 cm and 21 cm. What is the distance between them (in cm)?
14. 14.A trapezium has an area of 350 square cm. Its parallel sides are 18 cm and 17 cm. What is the distance between them (in cm)?
15. 15.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.A cuboid is 8 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
18. 18.A cuboid is 10 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
20. 20.A trapezium has an area of 72 square cm. Its parallel sides are 11 cm and 13 cm. What is the distance between them (in cm)?
21. 21.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
23. 23.A trapezium has parallel sides of 7 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
25. 25.A cuboid is 5 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
26. 26.A trapezium has an area of 342 square cm. Its parallel sides are 15 cm and 21 cm. What is the distance between them (in cm)?
27. 27.A trapezium has parallel sides of 12 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
28. 28.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
29. 29.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 30 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
31. 31.A room is 11 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
33. 33.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has an area of 143 square cm. Its parallel sides are 17 cm and 5 cm. What is the distance between them (in cm)?
35. 35.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
36. 36.The diagonals of a rhombus are 28 cm and 19 cm. What is its area (in square cm)?
37. 37.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
38. 38.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?

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