How can we calculate the total area of the four walls of a room if the length, breadth, and height are in the ratio of 3:2:1?

To calculate the total area of the four walls of a room when the length, breadth, and height are in the ratio of 3:2:1, follow these steps:

1. **Define Variables**: Let the height of the room be represented as h. Based on the ratio:

  • Length (l): 3h
  • Breadth (b): 2h
  • Height (h): h

2. **Calculate the Area of the Walls**: The total area of the four walls can be calculated using the formula:

Total Area = 2 * (l + b) * h

Substituting our values into the formula:

  • Total Area = 2 * ((3h) + (2h)) * h
  • Total Area = 2 * (5h) * h
  • Total Area = 10h2

3. **Conclusion**: Therefore, the total area of the four walls of the room is 10h2, where h is the height of the room.

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