Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 21 · 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 cuboid is 11 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
2. 2.A cuboid is 15 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
3. 3.The diagonals of a rhombus are 26 cm and 17 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 14 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
5. 5.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
7. 7.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
8. 8.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
9. 9.A trapezium has an area of 92 square cm. Its parallel sides are 19 cm and 4 cm. What is the distance between them (in cm)?
10. 10.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
11. 11.The diagonals of a rhombus are 30 cm and 17 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
13. 13.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
14. 14.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
15. 15.A trapezium has parallel sides of 6 cm and 30 cm, and the distance between them is 19 cm. What is its area (in square cm)?
16. 16.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
17. 17.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
18. 18.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
19. 19.A trapezium has parallel sides of 11 cm and 9 cm, and the distance between them is 12 cm. What is its area (in square cm)?
20. 20.A trapezium has an area of 408 square cm. Its parallel sides are 28 cm and 23 cm. What is the distance between them (in cm)?
21. 21.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
22. 22.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A cuboid is 3 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
24. 24.The diagonals of a rhombus are 14 cm and 25 cm. What is its area (in square cm)?
25. 25.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
26. 26.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
28. 28.A cuboid is 4 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
29. 29.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
30. 30.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A cuboid is 11 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has an area of 135 square cm. Its parallel sides are 9 cm and 6 cm. What is the distance between them (in cm)?
35. 35.A trapezium has parallel sides of 11 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
37. 37.A cuboid is 14 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
38. 38.A trapezium has parallel sides of 19 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
39. 39.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.A room is 12 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?

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