Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 14 · 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 trapezium has parallel sides of 12 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
2. 2.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
3. 3.A cuboid is 3 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
4. 4.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
5. 5.A trapezium has parallel sides of 12 cm and 26 cm, and the distance between them is 7 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 6 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
10. 10.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.A cuboid is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
12. 12.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
13. 13.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
14. 14.A trapezium has an area of 45 square cm. Its parallel sides are 6 cm and 9 cm. What is the distance between them (in cm)?
15. 15.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
17. 17.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 10 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
20. 20.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 18 cm and 8 cm. What is its area (in square cm)?
22. 22.A cuboid is 12 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
23. 23.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
24. 24.A trapezium has an area of 140 square cm. Its parallel sides are 17 cm and 18 cm. What is the distance between them (in cm)?
25. 25.A trapezium has parallel sides of 24 cm and 22 cm, and the distance between them is 19 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 17 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
27. 27.A cuboid is 5 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has parallel sides of 24 cm and 30 cm, and the distance between them is 7 cm. What is its area (in square cm)?
29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
30. 30.A cuboid is 12 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
31. 31.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 15 cm. What is its area (in square cm)?
32. 32.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
34. 34.A cuboid is 9 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has an area of 279 square cm. Its parallel sides are 16 cm and 15 cm. What is the distance between them (in cm)?
37. 37.A trapezium has parallel sides of 20 cm and 13 cm, and the distance between them is 14 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 9 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
40. 40.A cuboid is 5 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?

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