Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 302 · 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 26 cm and 23 cm. What is its area (in square cm)?
2. 2.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.A trapezium has an area of 75 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
4. 4.A trapezium has an area of 64 square cm. Its parallel sides are 20 cm and 12 cm. What is the distance between them (in cm)?
5. 5.A trapezium has an area of 288 square cm. Its parallel sides are 6 cm and 26 cm. What is the distance between them (in cm)?
6. 6.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
7. 7.A cuboid is 10 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 14 cm and 21 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.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
11. 11.The diagonals of a rhombus are 10 cm and 30 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
13. 13.A trapezium has an area of 200 square cm. Its parallel sides are 11 cm and 29 cm. What is the distance between them (in cm)?
14. 14.A trapezium has an area of 344 square cm. Its parallel sides are 13 cm and 30 cm. What is the distance between them (in cm)?
15. 15.A cuboid is 6 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
16. 16.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
17. 17.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 9 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 216 square cm. Its parallel sides are 6 cm and 21 cm. What is the distance between them (in cm)?
19. 19.A trapezium has an area of 105 square cm. Its parallel sides are 16 cm and 5 cm. What is the distance between them (in cm)?
20. 20.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
21. 21.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.A cuboid is 6 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
23. 23.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 15 cm. What is its area (in square cm)?
24. 24.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has an area of 55 square cm. Its parallel sides are 6 cm and 16 cm. What is the distance between them (in cm)?
26. 26.The diagonals of a rhombus are 12 cm and 20 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
28. 28.A trapezium has an area of 126 square cm. Its parallel sides are 15 cm and 3 cm. What is the distance between them (in cm)?
29. 29.A trapezium has parallel sides of 29 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
30. 30.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
31. 31.The diagonals of a rhombus are 20 cm and 4 cm. What is its area (in square cm)?
32. 32.A cuboid is 14 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has an area of 270 square cm. Its parallel sides are 30 cm and 6 cm. What is the distance between them (in cm)?
34. 34.A trapezium has parallel sides of 9 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
35. 35.A cuboid is 12 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
36. 36.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
37. 37.A trapezium has an area of 530 square cm. Its parallel sides are 28 cm and 25 cm. What is the distance between them (in cm)?
38. 38.A trapezium has parallel sides of 29 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
39. 39.The diagonals of a rhombus are 12 cm and 15 cm. What is its area (in square cm)?
40. 40.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?

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