The breadth of a room is twice its height, one half of its length and the volume of the room is `512\ c udotd mdot` Find the dimensions.

Explanation

To find the dimensions of the room, we will denote the height, breadth, and length of the room with variables and use the information given in the problem to form equations.

### Step 1: Define Variables
Let:
- Height of the room = \( h \)
- Breadth of the room = \( b \)
- Length of the room = \( l \)

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