There is no standard for the size of a dressing room.
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No, a room is a 3-dimensional space. The height is also a dimension.
how many boxes 2mx1mx3m will fit in room 15mx7mx5m
The length is one dimension. You can measure it along one edge of the floor. The width is another dimension. You can measure it along another edge of the floor. The height is the third dimension. You can measure it in the corner where two walls meet.
To answer the question you need the area of the room not just one dimension.
One size is 15 feet by 20 feet. Divide 300 by any number. The number is the first dimension. The answer will be the other dimension. Example: 300/12=25. This room is 12 x 25 feet.