Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 250 · 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.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
2. 2.A trapezium has parallel sides of 22 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
3. 3.A trapezium has parallel sides of 28 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 15 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
5. 5.A cuboid is 13 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
6. 6.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
7. 7.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
8. 8.A trapezium has parallel sides of 28 cm and 12 cm, and the distance between them is 11 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
10. 10.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
11. 11.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
13. 13.A trapezium has parallel sides of 20 cm and 10 cm, and the distance between them is 3 cm. What is its area (in square cm)?
14. 14.A cuboid is 7 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
15. 15.The diagonals of a rhombus are 4 cm and 15 cm. What is its area (in square cm)?
16. 16.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
17. 17.A cuboid is 12 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
18. 18.A trapezium has an area of 189 square cm. Its parallel sides are 4 cm and 17 cm. What is the distance between them (in cm)?
19. 19.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
20. 20.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
23. 23.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
24. 24.The diagonals of a rhombus are 14 cm and 8 cm. What is its area (in square cm)?
25. 25.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.The diagonals of a rhombus are 10 cm and 17 cm. What is its area (in square cm)?
27. 27.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
28. 28.A trapezium has parallel sides of 13 cm and 20 cm, and the distance between them is 12 cm. What is its area (in square cm)?
29. 29.The diagonals of a rhombus are 12 cm and 12 cm. What is its area (in square cm)?
30. 30.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
31. 31.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
32. 32.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
33. 33.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
34. 34.A trapezium has an area of 344 square cm. Its parallel sides are 27 cm and 16 cm. What is the distance between them (in cm)?
35. 35.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
36. 36.A trapezium has parallel sides of 14 cm and 13 cm, and the distance between them is 4 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 23 cm and 17 cm, and the distance between them is 7 cm. What is its area (in square cm)?
38. 38.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
39. 39.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
40. 40.A trapezium has an area of 180 square cm. Its parallel sides are 19 cm and 26 cm. What is the distance between them (in cm)?

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