Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 72 · 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 5 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
2. 2.A trapezium has parallel sides of 18 cm and 12 cm, and the distance between them is 13 cm. What is its area (in square cm)?
3. 3.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
4. 4.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
5. 5.A cuboid is 14 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
6. 6.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.A cuboid is 10 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 144 square cm. Its parallel sides are 14 cm and 18 cm. What is the distance between them (in cm)?
9. 9.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
12. 12.A trapezium has an area of 63 square cm. Its parallel sides are 12 cm and 30 cm. What is the distance between them (in cm)?
13. 13.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
14. 14.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
15. 15.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
16. 16.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
17. 17.A cuboid is 15 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
18. 18.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
19. 19.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
20. 20.A cuboid is 6 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.A trapezium has an area of 240 square cm. Its parallel sides are 26 cm and 6 cm. What is the distance between them (in cm)?
22. 22.A cuboid is 14 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
23. 23.A trapezium has parallel sides of 11 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
24. 24.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 3 cm. What is its area (in square cm)?
25. 25.A trapezium has an area of 27 square cm. Its parallel sides are 16 cm and 2 cm. What is the distance between them (in cm)?
26. 26.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
27. 27.A trapezium has parallel sides of 27 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
28. 28.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
29. 29.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 12 cm and 19 cm, and the distance between them is 20 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 4 cm and 6 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.A trapezium has an area of 31 square cm. Its parallel sides are 14 cm and 17 cm. What is the distance between them (in cm)?
36. 36.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
37. 37.A cuboid is 5 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
38. 38.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
40. 40.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?

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