Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 36 · 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 11 cm. What is its total surface area (in square cm)?
2. 2.A cuboid is 12 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
3. 3.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 12 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
6. 6.A trapezium has parallel sides of 11 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 5 cm and 2 cm, and the distance between them is 14 cm. What is its area (in square cm)?
8. 8.A trapezium has an area of 160 square cm. Its parallel sides are 15 cm and 5 cm. What is the distance between them (in cm)?
9. 9.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A trapezium has parallel sides of 17 cm and 27 cm, and the distance between them is 20 cm. What is its area (in square cm)?
11. 11.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 228 square cm. Its parallel sides are 15 cm and 9 cm. What is the distance between them (in cm)?
13. 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
14. 14.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 18 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 17 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
19. 19.A cuboid is 5 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
20. 20.A room is 10 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.The diagonals of a rhombus are 6 cm and 23 cm. What is its area (in square cm)?
22. 22.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
23. 23.A trapezium has an area of 198 square cm. Its parallel sides are 12 cm and 21 cm. What is the distance between them (in cm)?
24. 24.A cuboid is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
25. 25.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
26. 26.A trapezium has parallel sides of 25 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
27. 27.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.A cuboid is 5 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
29. 29.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 98 square cm. Its parallel sides are 26 cm and 23 cm. What is the distance between them (in cm)?
31. 31.The diagonals of a rhombus are 16 cm and 11 cm. What is its area (in square cm)?
32. 32.A room is 10 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
34. 34.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
35. 35.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
36. 36.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
37. 37.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
38. 38.A room is 12 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.The diagonals of a rhombus are 10 cm and 25 cm. What is its area (in square cm)?
40. 40.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?

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