Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 34 · 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 6 cm and 27 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 60 square cm. Its parallel sides are 18 cm and 12 cm. What is the distance between them (in cm)?
3. 3.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 11 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 20 cm and 18 cm, and the distance between them is 17 cm. What is its area (in square cm)?
6. 6.A cuboid is 12 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
7. 7.A trapezium has an area of 76 square cm. Its parallel sides are 7 cm and 12 cm. What is the distance between them (in cm)?
8. 8.A cuboid is 13 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
9. 9.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
10. 10.A trapezium has parallel sides of 8 cm and 18 cm, and the distance between them is 18 cm. What is its area (in square cm)?
11. 11.A trapezium has an area of 310 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?
12. 12.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
13. 13.A trapezium has parallel sides of 11 cm and 15 cm, and the distance between them is 19 cm. What is its area (in square cm)?
14. 14.A trapezium has parallel sides of 23 cm and 21 cm, and the distance between them is 7 cm. What is its area (in square cm)?
15. 15.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
16. 16.A cuboid is 5 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
17. 17.A trapezium has parallel sides of 7 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 30 cm and 21 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
20. 20.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
21. 21.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
23. 23.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
24. 24.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 9 cm. What is its area (in square cm)?
26. 26.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
27. 27.A trapezium has an area of 45 square cm. Its parallel sides are 4 cm and 11 cm. What is the distance between them (in cm)?
28. 28.A trapezium has parallel sides of 27 cm and 14 cm, and the distance between them is 16 cm. What is its area (in square cm)?
29. 29.The diagonals of a rhombus are 14 cm and 21 cm. What is its area (in square cm)?
30. 30.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
31. 31.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
32. 32.A cuboid is 11 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A cuboid is 12 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
34. 34.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.The diagonals of a rhombus are 14 cm and 15 cm. What is its area (in square cm)?
36. 36.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
37. 37.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
38. 38.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
39. 39.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
40. 40.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?

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