Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 82 · 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 18 cm and 14 cm, and the distance between them is 5 cm. What is its area (in square cm)?
2. 2.A room is 12 m long, 8 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 216 square cm. Its parallel sides are 4 cm and 20 cm. What is the distance between them (in cm)?
4. 4.A trapezium has an area of 540 square cm. Its parallel sides are 29 cm and 25 cm. What is the distance between them (in cm)?
5. 5.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.A cuboid is 6 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 29 cm and 27 cm, and the distance between them is 9 cm. What is its area (in square cm)?
9. 9.A cuboid is 7 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
10. 10.A cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
12. 12.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 7 cm. What is its area (in square cm)?
14. 14.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
15. 15.A trapezium has parallel sides of 29 cm and 23 cm, and the distance between them is 7 cm. What is its area (in square cm)?
16. 16.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
17. 17.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
18. 18.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 329 square cm. Its parallel sides are 29 cm and 18 cm. What is the distance between them (in cm)?
20. 20.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
21. 21.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
22. 22.A trapezium has parallel sides of 15 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
23. 23.A trapezium has an area of 154 square cm. Its parallel sides are 14 cm and 8 cm. What is the distance between them (in cm)?
24. 24.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
25. 25.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.The diagonals of a rhombus are 18 cm and 13 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 30 cm and 28 cm. What is its area (in square cm)?
28. 28.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
29. 29.The diagonals of a rhombus are 12 cm and 18 cm. What is its area (in square cm)?
30. 30.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.The diagonals of a rhombus are 22 cm and 10 cm. What is its area (in square cm)?
32. 32.A trapezium has an area of 130 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
33. 33.A trapezium has parallel sides of 4 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
35. 35.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
37. 37.A cuboid is 5 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
39. 39.A cuboid is 6 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?

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