Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 87 · 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 cuboid is 3 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
2. 2.A room is 4 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.A trapezium has parallel sides of 28 cm and 26 cm, and the distance between them is 10 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
6. 6.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
7. 7.The diagonals of a rhombus are 22 cm and 11 cm. What is its area (in square cm)?
8. 8.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
9. 9.A cuboid is 11 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
10. 10.A trapezium has an area of 247 square cm. Its parallel sides are 8 cm and 18 cm. What is the distance between them (in cm)?
11. 11.A trapezium has parallel sides of 22 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
12. 12.A cuboid is 3 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
13. 13.The diagonals of a rhombus are 28 cm and 9 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
15. 15.A cuboid is 4 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
16. 16.A trapezium has an area of 399 square cm. Its parallel sides are 20 cm and 22 cm. What is the distance between them (in cm)?
17. 17.A trapezium has parallel sides of 22 cm and 6 cm, and the distance between them is 9 cm. What is its area (in square cm)?
18. 18.A cuboid is 8 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has parallel sides of 20 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
20. 20.A trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
21. 21.The diagonals of a rhombus are 20 cm and 20 cm. What is its area (in square cm)?
22. 22.A cuboid is 7 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
23. 23.A cuboid is 14 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 26 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
25. 25.A trapezium has parallel sides of 24 cm and 30 cm, and the distance between them is 15 cm. What is its area (in square cm)?
26. 26.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
27. 27.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 22 square cm. Its parallel sides are 10 cm and 12 cm. What is the distance between them (in cm)?
29. 29.A cuboid is 13 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
30. 30.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
33. 33.A trapezium has parallel sides of 5 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
35. 35.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
36. 36.A trapezium has an area of 140 square cm. Its parallel sides are 24 cm and 11 cm. What is the distance between them (in cm)?
37. 37.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.A trapezium has an area of 105 square cm. Its parallel sides are 16 cm and 26 cm. What is the distance between them (in cm)?
39. 39.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
40. 40.A trapezium has parallel sides of 18 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?

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