Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 189 · 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 an area of 231 square cm. Its parallel sides are 21 cm and 12 cm. What is the distance between them (in cm)?
2. 2.A room is 7 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
4. 4.A trapezium has an area of 189 square cm. Its parallel sides are 15 cm and 6 cm. What is the distance between them (in cm)?
5. 5.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
7. 7.A trapezium has an area of 399 square cm. Its parallel sides are 13 cm and 29 cm. What is the distance between them (in cm)?
8. 8.A trapezium has parallel sides of 14 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
10. 10.A cuboid is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 165 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
13. 13.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
14. 14.A trapezium has parallel sides of 19 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
15. 15.The diagonals of a rhombus are 8 cm and 5 cm. What is its area (in square cm)?
16. 16.A trapezium has an area of 85 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
17. 17.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
20. 20.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
21. 21.The diagonals of a rhombus are 6 cm and 20 cm. What is its area (in square cm)?
22. 22.The diagonals of a rhombus are 4 cm and 25 cm. What is its area (in square cm)?
23. 23.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
24. 24.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.A trapezium has parallel sides of 12 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
27. 27.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has parallel sides of 23 cm and 29 cm, and the distance between them is 7 cm. What is its area (in square cm)?
29. 29.A cuboid is 15 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 13 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
31. 31.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
32. 32.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
33. 33.A cuboid is 4 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has an area of 161 square cm. Its parallel sides are 19 cm and 27 cm. What is the distance between them (in cm)?
35. 35.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
36. 36.A cuboid is 3 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
37. 37.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
38. 38.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.A cuboid is 6 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?

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