Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 265 · 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 trapezium has parallel sides of 21 cm and 19 cm, and the distance between them is 8 cm. What is its area (in square cm)?
2. 2.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.A cuboid is 8 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
4. 4.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
5. 5.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
6. 6.A cuboid is 8 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
7. 7.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
8. 8.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A trapezium has parallel sides of 19 cm and 15 cm, and the distance between them is 18 cm. What is its area (in square cm)?
10. 10.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?
11. 11.A cuboid is 7 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
12. 12.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
13. 13.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
14. 14.Each edge of a cube is 7 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 diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
17. 17.A trapezium has an area of 24 square cm. Its parallel sides are 10 cm and 14 cm. What is the distance between them (in cm)?
18. 18.A cuboid is 6 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
19. 19.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
20. 20.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
21. 21.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
23. 23.A trapezium has an area of 41 square cm. Its parallel sides are 18 cm and 23 cm. What is the distance between them (in cm)?
24. 24.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
26. 26.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
29. 29.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
30. 30.A trapezium has parallel sides of 21 cm and 15 cm, and the distance between them is 17 cm. What is its area (in square cm)?
31. 31.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
32. 32.A trapezium has parallel sides of 5 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
33. 33.The diagonals of a rhombus are 24 cm and 19 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
35. 35.A trapezium has parallel sides of 29 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
36. 36.A cuboid is 6 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
37. 37.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
38. 38.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.A trapezium has an area of 312 square cm. Its parallel sides are 29 cm and 10 cm. What is the distance between them (in cm)?
40. 40.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?

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