Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 274 · 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 cuboid is 6 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
2. 2.A trapezium has an area of 270 square cm. Its parallel sides are 25 cm and 29 cm. What is the distance between them (in cm)?
3. 3.A trapezium has parallel sides of 28 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 28 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
5. 5.A trapezium has parallel sides of 29 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 4 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
7. 7.A cuboid is 5 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 6 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
9. 9.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A cuboid is 5 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
11. 11.A cuboid is 9 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 104 square cm. Its parallel sides are 6 cm and 7 cm. What is the distance between them (in cm)?
13. 13.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
14. 14.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
15. 15.A cuboid is 8 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
16. 16.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
18. 18.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
19. 19.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
20. 20.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
21. 21.A cuboid is 9 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 20 cm and 17 cm. What is its area (in square cm)?
23. 23.A cuboid is 3 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 14 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 24 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
26. 26.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
27. 27.A trapezium has an area of 68 square cm. Its parallel sides are 25 cm and 9 cm. What is the distance between them (in cm)?
28. 28.A trapezium has an area of 169 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
29. 29.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has an area of 105 square cm. Its parallel sides are 12 cm and 30 cm. What is the distance between them (in cm)?
32. 32.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 28 cm and 16 cm, and the distance between them is 7 cm. What is its area (in square cm)?
34. 34.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
36. 36.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
38. 38.A trapezium has parallel sides of 16 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
39. 39.A room is 10 m long, 8 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 26 cm and 27 cm. What is its area (in square cm)?

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