Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 179 · 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 7 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
2. 2.A cuboid is 5 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 10 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 10 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 12 cm. What is its area (in square cm)?
7. 7.A trapezium has an area of 72 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
8. 8.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A trapezium has an area of 360 square cm. Its parallel sides are 23 cm and 17 cm. What is the distance between them (in cm)?
11. 11.A trapezium has parallel sides of 15 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
12. 12.A trapezium has an area of 49 square cm. Its parallel sides are 5 cm and 2 cm. What is the distance between them (in cm)?
13. 13.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
14. 14.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
15. 15.A cuboid is 3 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 9 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
17. 17.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A cuboid is 7 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 80 square cm. Its parallel sides are 29 cm and 3 cm. What is the distance between them (in cm)?
20. 20.The diagonals of a rhombus are 14 cm and 17 cm. What is its area (in square cm)?
21. 21.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has an area of 370 square cm. Its parallel sides are 18 cm and 19 cm. What is the distance between them (in cm)?
23. 23.A trapezium has an area of 210 square cm. Its parallel sides are 12 cm and 23 cm. What is the distance between them (in cm)?
24. 24.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
25. 25.A trapezium has parallel sides of 9 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
26. 26.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
27. 27.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
28. 28.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
29. 29.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
30. 30.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
32. 32.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
33. 33.A cuboid is 7 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
34. 34.A cuboid is 4 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 175 square cm. Its parallel sides are 11 cm and 24 cm. What is the distance between them (in cm)?
36. 36.A cuboid is 4 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
39. 39.A trapezium has parallel sides of 23 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
40. 40.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?

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