Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 42 · 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 864 square cm. How long is each edge (in cm)?
2. 2.A cuboid is 11 cm long, 2 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 1536 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 5 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
5. 5.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.A trapezium has parallel sides of 13 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
7. 7.A trapezium has an area of 115 square cm. Its parallel sides are 5 cm and 18 cm. What is the distance between them (in cm)?
8. 8.A trapezium has parallel sides of 29 cm and 21 cm, and the distance between them is 11 cm. What is its area (in square cm)?
9. 9.A room is 4 m long, 3 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 245 square cm. Its parallel sides are 10 cm and 25 cm. What is the distance between them (in cm)?
11. 11.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
13. 13.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.A cuboid is 12 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
15. 15.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
17. 17.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
18. 18.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
19. 19.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
21. 21.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
23. 23.A cuboid is 15 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
24. 24.The diagonals of a rhombus are 24 cm and 15 cm. What is its area (in square cm)?
25. 25.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
26. 26.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
27. 27.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
28. 28.A room is 4 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
29. 29.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 108 square cm. Its parallel sides are 17 cm and 19 cm. What is the distance between them (in cm)?
31. 31.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
32. 32.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
33. 33.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
34. 34.A cuboid is 13 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
35. 35.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
36. 36.A trapezium has parallel sides of 9 cm and 7 cm, and the distance between them is 3 cm. What is its area (in square cm)?
37. 37.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
39. 39.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 10 cm. What is its area (in square cm)?

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