Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 16 · 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.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
2. 2.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.A cuboid is 8 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
5. 5.A cuboid is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
6. 6.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.A trapezium has an area of 273 square cm. Its parallel sides are 9 cm and 30 cm. What is the distance between them (in cm)?
8. 8.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
9. 9.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.A trapezium has parallel sides of 8 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
11. 11.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
12. 12.A trapezium has parallel sides of 22 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
13. 13.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
14. 14.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
17. 17.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
18. 18.A cuboid is 12 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
19. 19.A cuboid is 3 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
21. 21.A cuboid is 7 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
22. 22.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
24. 24.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
25. 25.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
26. 26.A cuboid is 13 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
27. 27.A cuboid is 9 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 440 square cm. Its parallel sides are 26 cm and 18 cm. What is the distance between them (in cm)?
29. 29.A trapezium has an area of 324 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
30. 30.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
31. 31.A trapezium has an area of 306 square cm. Its parallel sides are 30 cm and 6 cm. What is the distance between them (in cm)?
32. 32.A trapezium has an area of 342 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
33. 33.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 6 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
35. 35.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
36. 36.The diagonals of a rhombus are 18 cm and 25 cm. What is its area (in square cm)?
37. 37.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 3 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.A cuboid is 3 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 16 cm and 2 cm, and the distance between them is 7 cm. What is its area (in square cm)?

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