Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 174 · 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 room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
2. 2.The diagonals of a rhombus are 26 cm and 15 cm. What is its area (in square cm)?
3. 3.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
4. 4.A trapezium has parallel sides of 17 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
6. 6.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
7. 7.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
8. 8.A trapezium has an area of 88 square cm. Its parallel sides are 26 cm and 18 cm. What is the distance between them (in cm)?
9. 9.A trapezium has an area of 370 square cm. Its parallel sides are 7 cm and 30 cm. What is the distance between them (in cm)?
10. 10.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.A trapezium has parallel sides of 20 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
12. 12.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 24 cm and 30 cm, and the distance between them is 9 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
15. 15.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
16. 16.A room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
18. 18.A trapezium has an area of 148 square cm. Its parallel sides are 15 cm and 22 cm. What is the distance between them (in cm)?
19. 19.A cuboid is 9 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 10 cm. What is its area (in square cm)?
21. 21.A cuboid is 3 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
23. 23.A cuboid is 10 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
25. 25.A trapezium has parallel sides of 13 cm and 15 cm, and the distance between them is 13 cm. What is its area (in square cm)?
26. 26.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
27. 27.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
28. 28.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 15 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
31. 31.A cuboid is 6 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
33. 33.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
35. 35.A trapezium has parallel sides of 28 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
36. 36.A cuboid is 5 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.A trapezium has parallel sides of 20 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
38. 38.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
39. 39.A trapezium has an area of 78 square cm. Its parallel sides are 26 cm and 13 cm. What is the distance between them (in cm)?
40. 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?

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