Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 251 · 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 26 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 35 square cm. Its parallel sides are 23 cm and 12 cm. What is the distance between them (in cm)?
3. 3.A trapezium has an area of 7 square cm. Its parallel sides are 5 cm and 2 cm. What is the distance between them (in cm)?
4. 4.A trapezium has an area of 105 square cm. Its parallel sides are 15 cm and 6 cm. What is the distance between them (in cm)?
5. 5.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
6. 6.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
9. 9.A trapezium has parallel sides of 5 cm and 3 cm, and the distance between them is 9 cm. What is its area (in square cm)?
10. 10.The diagonals of a rhombus are 16 cm and 11 cm. What is its area (in square cm)?
11. 11.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 10 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 13 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?
14. 14.A trapezium has an area of 424 square cm. Its parallel sides are 30 cm and 23 cm. What is the distance between them (in cm)?
15. 15.A cuboid is 7 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
16. 16.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
17. 17.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 19 square cm. Its parallel sides are 16 cm and 3 cm. What is the distance between them (in cm)?
19. 19.A cuboid is 13 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
20. 20.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
21. 21.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
22. 22.A trapezium has an area of 266 square cm. Its parallel sides are 10 cm and 28 cm. What is the distance between them (in cm)?
23. 23.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 25 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
25. 25.A cuboid is 8 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
26. 26.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 15 cm. What is its area (in square cm)?
27. 27.A trapezium has parallel sides of 12 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
28. 28.A trapezium has an area of 111 square cm. Its parallel sides are 7 cm and 30 cm. What is the distance between them (in cm)?
29. 29.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 14 cm. What is its area (in square cm)?
30. 30.A cuboid is 10 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
32. 32.A trapezium has parallel sides of 29 cm and 9 cm, and the distance between them is 17 cm. What is its area (in square cm)?
33. 33.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
35. 35.A cuboid is 13 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
36. 36.A trapezium has an area of 336 square cm. Its parallel sides are 30 cm and 18 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 12 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
38. 38.A trapezium has an area of 308 square cm. Its parallel sides are 20 cm and 24 cm. What is the distance between them (in cm)?
39. 39.A cuboid is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
40. 40.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?

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