Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 222 · 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 diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
2. 2.The diagonals of a rhombus are 28 cm and 10 cm. What is its area (in square cm)?
3. 3.A cuboid is 10 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
5. 5.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
6. 6.The diagonals of a rhombus are 22 cm and 25 cm. What is its area (in square cm)?
7. 7.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
8. 8.A trapezium has parallel sides of 17 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
9. 9.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.The diagonals of a rhombus are 4 cm and 25 cm. What is its area (in square cm)?
11. 11.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
13. 13.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.A trapezium has an area of 144 square cm. Its parallel sides are 8 cm and 10 cm. What is the distance between them (in cm)?
15. 15.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
16. 16.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
17. 17.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
18. 18.A trapezium has parallel sides of 23 cm and 19 cm, and the distance between them is 13 cm. What is its area (in square cm)?
19. 19.A trapezium has an area of 162 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
20. 20.A cuboid is 15 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
21. 21.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
22. 22.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
26. 26.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.The diagonals of a rhombus are 16 cm and 13 cm. What is its area (in square cm)?
29. 29.A cuboid is 3 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
30. 30.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
32. 32.A trapezium has parallel sides of 4 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
34. 34.A trapezium has parallel sides of 18 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
35. 35.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
36. 36.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
37. 37.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 26 cm and 17 cm. What is its area (in square cm)?
39. 39.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
40. 40.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?

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