Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 212 · 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 4 cm and 28 cm. What is its area (in square cm)?
2. 2.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
3. 3.A cuboid is 12 cm long, 6 cm wide and 7 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.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
6. 6.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
7. 7.A trapezium has an area of 315 square cm. Its parallel sides are 6 cm and 29 cm. What is the distance between them (in cm)?
8. 8.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
9. 9.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
10. 10.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
11. 11.A trapezium has parallel sides of 6 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 22 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 28 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
14. 14.A trapezium has an area of 225 square cm. Its parallel sides are 22 cm and 3 cm. What is the distance between them (in cm)?
15. 15.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
16. 16.A trapezium has parallel sides of 8 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
17. 17.A trapezium has an area of 228 square cm. Its parallel sides are 23 cm and 15 cm. What is the distance between them (in cm)?
18. 18.A cuboid is 9 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 5 cm and 25 cm, and the distance between them is 15 cm. What is its area (in square cm)?
21. 21.A trapezium has parallel sides of 20 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
23. 23.A trapezium has parallel sides of 25 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
24. 24.A cuboid is 14 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.A cuboid is 15 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
26. 26.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
29. 29.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.A cuboid is 4 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
31. 31.A cuboid is 8 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
32. 32.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
33. 33.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
35. 35.A trapezium has parallel sides of 28 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
36. 36.A trapezium has parallel sides of 19 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
37. 37.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
38. 38.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 12 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
40. 40.A room is 10 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?

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