Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 213 · 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 24 cm and 13 cm. What is its area (in square cm)?
2. 2.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
3. 3.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
5. 5.A trapezium has parallel sides of 9 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
8. 8.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
9. 9.A cuboid is 14 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
10. 10.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
11. 11.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
12. 12.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
13. 13.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
14. 14.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
15. 15.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
16. 16.A trapezium has an area of 340 square cm. Its parallel sides are 16 cm and 24 cm. What is the distance between them (in cm)?
17. 17.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 28 cm and 23 cm. What is its area (in square cm)?
19. 19.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
20. 20.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
21. 21.A cuboid is 9 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
22. 22.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 15 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
26. 26.A cuboid is 15 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
28. 28.The diagonals of a rhombus are 10 cm and 11 cm. What is its area (in square cm)?
29. 29.A trapezium has an area of 104 square cm. Its parallel sides are 20 cm and 6 cm. What is the distance between them (in cm)?
30. 30.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 11 cm. What is its area (in square cm)?
31. 31.A cuboid is 9 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 20 cm and 4 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 7 cm and 11 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 186 square cm. Its parallel sides are 20 cm and 11 cm. What is the distance between them (in cm)?
36. 36.A cuboid is 12 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.A trapezium has an area of 19 square cm. Its parallel sides are 7 cm and 12 cm. What is the distance between them (in cm)?
38. 38.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
39. 39.The diagonals of a rhombus are 12 cm and 18 cm. What is its area (in square cm)?
40. 40.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?

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