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 given the conditions, we can follow these steps:

### Step 1: Define the variables
Let:
- Height of the room = \( h \) decimetres
- Breadth of the room = \( b \) decimetres
- Length of the room = \( L \) decimetres

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