Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 59 · 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 25 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
2. 2.A cuboid is 7 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 120 square cm. Its parallel sides are 11 cm and 9 cm. What is the distance between them (in cm)?
4. 4.A cuboid is 5 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has an area of 180 square cm. Its parallel sides are 12 cm and 18 cm. What is the distance between them (in cm)?
6. 6.A trapezium has an area of 96 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
7. 7.A trapezium has an area of 140 square cm. Its parallel sides are 16 cm and 24 cm. What is the distance between them (in cm)?
8. 8.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 22 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
10. 10.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
12. 12.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
13. 13.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
14. 14.A trapezium has an area of 185 square cm. Its parallel sides are 20 cm and 17 cm. What is the distance between them (in cm)?
15. 15.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
16. 16.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
17. 17.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
19. 19.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
20. 20.The diagonals of a rhombus are 26 cm and 27 cm. What is its area (in square cm)?
21. 21.The diagonals of a rhombus are 20 cm and 28 cm. What is its area (in square cm)?
22. 22.A cuboid is 12 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
24. 24.A cuboid is 11 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 20 cm and 8 cm, and the distance between them is 15 cm. What is its area (in square cm)?
26. 26.A trapezium has an area of 57 square cm. Its parallel sides are 30 cm and 27 cm. What is the distance between them (in cm)?
27. 27.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.The diagonals of a rhombus are 28 cm and 28 cm. What is its area (in square cm)?
29. 29.A cuboid is 3 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
31. 31.A trapezium has an area of 180 square cm. Its parallel sides are 5 cm and 19 cm. What is the distance between them (in cm)?
32. 32.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
33. 33.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
34. 34.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 3 cm. What is its 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 cuboid is 6 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
37. 37.A cuboid is 9 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
38. 38.A trapezium has parallel sides of 17 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
39. 39.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
40. 40.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?

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