Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 309 · 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.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
2. 2.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has parallel sides of 18 cm and 15 cm, and the distance between them is 18 cm. What is its area (in square cm)?
4. 4.A trapezium has an area of 88 square cm. Its parallel sides are 30 cm and 14 cm. What is the distance between them (in cm)?
5. 5.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 12 cm and 21 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 18 cm. What is its area (in square cm)?
8. 8.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
9. 9.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
11. 11.A trapezium has an area of 188 square cm. Its parallel sides are 17 cm and 30 cm. What is the distance between them (in cm)?
12. 12.A trapezium has parallel sides of 4 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
13. 13.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
15. 15.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.A cuboid is 12 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
18. 18.A cuboid is 7 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
20. 20.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
22. 22.A trapezium has an area of 108 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
23. 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
24. 24.A trapezium has an area of 51 square cm. Its parallel sides are 15 cm and 2 cm. What is the distance between them (in cm)?
25. 25.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
26. 26.The diagonals of a rhombus are 20 cm and 11 cm. What is its area (in square cm)?
27. 27.A trapezium has parallel sides of 15 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
28. 28.A trapezium has an area of 87 square cm. Its parallel sides are 8 cm and 21 cm. What is the distance between them (in cm)?
29. 29.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 21 square cm. Its parallel sides are 4 cm and 3 cm. What is the distance between them (in cm)?
31. 31.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
32. 32.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 30 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
35. 35.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
36. 36.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 12 cm and 20 cm, and the distance between them is 17 cm. What is its area (in square cm)?
38. 38.A trapezium has an area of 168 square cm. Its parallel sides are 17 cm and 4 cm. What is the distance between them (in cm)?
39. 39.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
40. 40.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets