Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 318 · 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 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A trapezium has parallel sides of 19 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
3. 3.A trapezium has an area of 160 square cm. Its parallel sides are 10 cm and 30 cm. What is the distance between them (in cm)?
4. 4.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
5. 5.A cuboid is 10 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
8. 8.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
9. 9.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
10. 10.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
11. 11.A trapezium has an area of 104 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
12. 12.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?
13. 13.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.A cuboid is 13 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 26 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 168 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
20. 20.A trapezium has an area of 156 square cm. Its parallel sides are 18 cm and 6 cm. What is the distance between them (in cm)?
21. 21.A trapezium has parallel sides of 12 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
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.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
24. 24.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.A trapezium has an area of 63 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?
27. 27.A cuboid is 5 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
28. 28.A room is 10 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
29. 29.A trapezium has an area of 248 square cm. Its parallel sides are 22 cm and 9 cm. What is the distance between them (in cm)?
30. 30.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
31. 31.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
32. 32.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
33. 33.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
34. 34.A cuboid is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has parallel sides of 16 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
36. 36.A cuboid is 11 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
38. 38.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
39. 39.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
40. 40.The diagonals of a rhombus are 28 cm and 18 cm. What is its area (in square cm)?

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