Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 71 · 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 parallel sides of 28 cm and 2 cm, and the distance between them is 7 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 66 square cm. Its parallel sides are 7 cm and 26 cm. What is the distance between them (in cm)?
3. 3.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
4. 4.A trapezium has an area of 43 square cm. Its parallel sides are 18 cm and 25 cm. What is the distance between them (in cm)?
5. 5.A cuboid is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.A cuboid is 14 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
7. 7.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
9. 9.A trapezium has parallel sides of 26 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 24 cm and 20 cm, and the distance between them is 3 cm. What is its area (in square cm)?
11. 11.A cuboid is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
12. 12.A cuboid is 11 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
13. 13.A cuboid is 7 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
14. 14.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
15. 15.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
16. 16.A cuboid is 15 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
17. 17.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
18. 18.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
19. 19.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
20. 20.A cuboid is 3 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
21. 21.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A cuboid is 4 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 13 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
25. 25.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
27. 27.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
28. 28.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 20 cm. What is its area (in square cm)?
29. 29.A cuboid is 14 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
30. 30.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
31. 31.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
32. 32.A cuboid is 6 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
33. 33.A room is 5 m long, 6 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 24 cm and 28 cm, and the distance between them is 9 cm. What is its area (in square cm)?
35. 35.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
36. 36.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
37. 37.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
38. 38.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
40. 40.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?

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