Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 126 · 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 20 cm and 26 cm. What is its area (in square cm)?
2. 2.A cuboid is 6 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.A trapezium has parallel sides of 11 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
4. 4.A trapezium has an area of 240 square cm. Its parallel sides are 12 cm and 18 cm. What is the distance between them (in cm)?
5. 5.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 138 square cm. Its parallel sides are 21 cm and 2 cm. What is the distance between them (in cm)?
9. 9.The diagonals of a rhombus are 20 cm and 21 cm. What is its area (in square cm)?
10. 10.A trapezium has an area of 165 square cm. Its parallel sides are 27 cm and 6 cm. What is the distance between them (in cm)?
11. 11.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
12. 12.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.A trapezium has parallel sides of 17 cm and 15 cm, and the distance between them is 12 cm. What is its area (in square cm)?
14. 14.A cuboid is 6 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
15. 15.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
16. 16.A cuboid is 7 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
17. 17.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
18. 18.A trapezium has parallel sides of 9 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
20. 20.A trapezium has an area of 243 square cm. Its parallel sides are 30 cm and 24 cm. What is the distance between them (in cm)?
21. 21.A trapezium has an area of 74 square cm. Its parallel sides are 30 cm and 7 cm. What is the distance between them (in cm)?
22. 22.A trapezium has an area of 132 square cm. Its parallel sides are 15 cm and 29 cm. What is the distance between them (in cm)?
23. 23.A cuboid is 10 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
25. 25.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
26. 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
27. 27.A cuboid is 4 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 28 square cm. Its parallel sides are 4 cm and 10 cm. What is the distance between them (in cm)?
29. 29.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
30. 30.A cuboid is 11 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.A cuboid is 12 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 20 cm and 3 cm. What is its area (in square cm)?
33. 33.A cuboid is 9 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
34. 34.A cuboid is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 136 square cm. Its parallel sides are 28 cm and 6 cm. What is the distance between them (in cm)?
36. 36.A cuboid is 14 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
37. 37.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 24 cm and 18 cm. What is its area (in square cm)?
39. 39.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
40. 40.The diagonals of a rhombus are 18 cm and 16 cm. What is its area (in square cm)?

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