Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 11 · 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 an area of 189 square cm. Its parallel sides are 6 cm and 15 cm. What is the distance between them (in cm)?
2. 2.A trapezium has parallel sides of 24 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
3. 3.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
4. 4.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 5 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 4 cm and 30 cm, and the distance between them is 5 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
11. 11.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 19 cm and 28 cm, and the distance between them is 20 cm. What is its area (in square cm)?
13. 13.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.A cuboid is 6 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
15. 15.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
16. 16.A cuboid is 8 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
19. 19.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
20. 20.A trapezium has an area of 17 square cm. Its parallel sides are 12 cm and 5 cm. What is the distance between them (in cm)?
21. 21.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has an area of 243 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
23. 23.A trapezium has parallel sides of 23 cm and 3 cm, and the distance between them is 7 cm. What is its area (in square cm)?
24. 24.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
25. 25.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
26. 26.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
27. 27.A cuboid is 12 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
28. 28.The diagonals of a rhombus are 10 cm and 27 cm. What is its area (in square cm)?
29. 29.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
30. 30.A trapezium has parallel sides of 22 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
31. 31.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
32. 32.A cuboid is 6 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
34. 34.A cuboid is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
35. 35.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
36. 36.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
37. 37.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
38. 38.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
39. 39.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.A cuboid is 12 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?

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