Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 320 · 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 room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 13 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 12 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
6. 6.The diagonals of a rhombus are 10 cm and 22 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 6 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
8. 8.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 40 square cm. Its parallel sides are 11 cm and 9 cm. What is the distance between them (in cm)?
12. 12.A trapezium has parallel sides of 20 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
13. 13.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
14. 14.A cuboid is 11 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
15. 15.A cuboid is 7 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has an area of 176 square cm. Its parallel sides are 10 cm and 12 cm. What is the distance between them (in cm)?
17. 17.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
18. 18.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
20. 20.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.A cuboid is 9 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
22. 22.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A cuboid is 13 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
25. 25.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
26. 26.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
27. 27.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
28. 28.A trapezium has parallel sides of 21 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
29. 29.A trapezium has an area of 84 square cm. Its parallel sides are 10 cm and 18 cm. What is the distance between them (in cm)?
30. 30.A cuboid is 15 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
31. 31.A trapezium has an area of 37 square cm. Its parallel sides are 10 cm and 27 cm. What is the distance between them (in cm)?
32. 32.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 18 cm and 11 cm. What is its area (in square cm)?
34. 34.A cuboid is 11 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
35. 35.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 20 cm and 21 cm. What is its area (in square cm)?
37. 37.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
39. 39.A cuboid is 7 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 3 cm. What is its area (in square cm)?

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