Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 101 · 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 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
2. 2.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
3. 3.A cuboid is 11 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
4. 4.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 18 cm and 15 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.A trapezium has an area of 176 square cm. Its parallel sides are 17 cm and 5 cm. What is the distance between them (in cm)?
7. 7.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 16 cm and 21 cm, and the distance between them is 14 cm. What is its area (in square cm)?
9. 9.A trapezium has an area of 96 square cm. Its parallel sides are 4 cm and 8 cm. What is the distance between them (in cm)?
10. 10.A trapezium has parallel sides of 17 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
11. 11.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
12. 12.A trapezium has parallel sides of 19 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 7 cm and 9 cm, and the distance between them is 3 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
15. 15.A cuboid is 14 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has parallel sides of 29 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
17. 17.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.A cuboid is 5 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 119 square cm. Its parallel sides are 5 cm and 9 cm. What is the distance between them (in cm)?
20. 20.A trapezium has an area of 243 square cm. Its parallel sides are 11 cm and 16 cm. What is the distance between them (in cm)?
21. 21.A trapezium has parallel sides of 5 cm and 19 cm, and the distance between them is 5 cm. What is its area (in square cm)?
22. 22.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
23. 23.A cuboid is 3 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
25. 25.A cuboid is 4 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
26. 26.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 18 cm and 26 cm. What is its area (in square cm)?
28. 28.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
29. 29.A cuboid is 8 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
31. 31.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
32. 32.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
36. 36.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A trapezium has an area of 100 square cm. Its parallel sides are 19 cm and 21 cm. What is the distance between them (in cm)?
38. 38.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
40. 40.A trapezium has parallel sides of 28 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?

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