Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 76 · 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 24 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
2. 2.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
3. 3.A trapezium has an area of 570 square cm. Its parallel sides are 30 cm and 27 cm. What is the distance between them (in cm)?
4. 4.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
5. 5.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
6. 6.A trapezium has parallel sides of 28 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
7. 7.A cuboid is 14 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
8. 8.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
9. 9.A trapezium has parallel sides of 4 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
10. 10.A trapezium has an area of 248 square cm. Its parallel sides are 8 cm and 23 cm. What is the distance between them (in cm)?
11. 11.A trapezium has an area of 26 square cm. Its parallel sides are 6 cm and 7 cm. What is the distance between them (in cm)?
12. 12.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
13. 13.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
14. 14.A cuboid is 12 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
15. 15.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
16. 16.A trapezium has parallel sides of 18 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
17. 17.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 30 cm and 21 cm, and the distance between them is 20 cm. What is its area (in square cm)?
19. 19.A cuboid is 5 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square 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 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has an area of 85 square cm. Its parallel sides are 4 cm and 30 cm. What is the distance between them (in cm)?
23. 23.A trapezium has parallel sides of 20 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
25. 25.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
26. 26.A trapezium has an area of 242 square cm. Its parallel sides are 15 cm and 29 cm. What is the distance between them (in cm)?
27. 27.The diagonals of a rhombus are 22 cm and 12 cm. What is its area (in square cm)?
28. 28.A cuboid is 12 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 5 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 20 cm. What is its area (in square cm)?
31. 31.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 10 cm. What is its area (in square cm)?
32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
33. 33.A cuboid is 13 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
34. 34.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
36. 36.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
37. 37.A trapezium has an area of 51 square cm. Its parallel sides are 23 cm and 28 cm. What is the distance between them (in cm)?
38. 38.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
39. 39.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
40. 40.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?

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