Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 22 · 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 28 cm and 12 cm, and the distance between them is 5 cm. What is its area (in square cm)?
2. 2.A trapezium has parallel sides of 22 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
3. 3.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 21 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
5. 5.A cuboid is 11 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
6. 6.A cuboid is 9 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
7. 7.A trapezium has parallel sides of 23 cm and 27 cm, and the distance between them is 18 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 20 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
9. 9.A room is 4 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.A cuboid is 4 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
13. 13.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
14. 14.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
15. 15.A cuboid is 9 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
17. 17.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
18. 18.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
20. 20.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has parallel sides of 11 cm and 22 cm, and the distance between them is 6 cm. What is its area (in square cm)?
23. 23.The diagonals of a rhombus are 22 cm and 21 cm. What is its area (in square cm)?
24. 24.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.A cuboid is 6 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
26. 26.A cuboid is 10 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
28. 28.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
29. 29.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.A cuboid is 10 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
31. 31.A trapezium has an area of 100 square cm. Its parallel sides are 16 cm and 4 cm. What is the distance between them (in cm)?
32. 32.A trapezium has an area of 340 square cm. Its parallel sides are 11 cm and 29 cm. What is the distance between them (in cm)?
33. 33.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
36. 36.A trapezium has an area of 27 square cm. Its parallel sides are 6 cm and 21 cm. What is the distance between them (in cm)?
37. 37.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 15 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
39. 39.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
40. 40.A trapezium has parallel sides of 26 cm and 9 cm, and the distance between them is 16 cm. What is its area (in square cm)?

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