Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 205 · 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.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
2. 2.A cuboid is 5 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
4. 4.A trapezium has parallel sides of 28 cm and 15 cm, and the distance between them is 16 cm. What is its area (in square cm)?
5. 5.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
6. 6.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
7. 7.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
8. 8.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
9. 9.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
10. 10.The diagonals of a rhombus are 20 cm and 14 cm. What is its area (in square cm)?
11. 11.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
12. 12.A cuboid is 8 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
13. 13.A cuboid is 6 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
15. 15.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.The diagonals of a rhombus are 6 cm and 14 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 15 cm and 27 cm, and the distance between them is 17 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 368 square cm. Its parallel sides are 25 cm and 21 cm. What is the distance between them (in cm)?
19. 19.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
20. 20.A trapezium has an area of 260 square cm. Its parallel sides are 26 cm and 14 cm. What is the distance between them (in cm)?
21. 21.A cuboid is 9 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
22. 22.A cuboid is 3 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 13 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
24. 24.A trapezium has an area of 198 square cm. Its parallel sides are 7 cm and 26 cm. What is the distance between them (in cm)?
25. 25.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
26. 26.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
27. 27.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.A cuboid is 8 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 10 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
31. 31.A trapezium has parallel sides of 24 cm and 5 cm, and the distance between them is 20 cm. What is its area (in square cm)?
32. 32.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 28 cm and 17 cm, and the distance between them is 10 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
35. 35.The diagonals of a rhombus are 20 cm and 27 cm. What is its area (in square cm)?
36. 36.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
37. 37.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
38. 38.A cuboid is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
39. 39.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
40. 40.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?

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