You can't tell. The volume doesn't tell you the dimensions. It only tells you what the product of the three dimensions is, but not what anyone of them is. There are an infinite number of different possibilities.
Example: Volume = 8 cubic feet
The dimensions of the box could be
Length = 2-ft, Width = 2-ft, Height = 2-ft or 1 x 1 x 8 or 1 x 2 x 4 or 1 x 3 x 2-2/3 or 1 x 5 x 1.6 or 1 x 6 x 1-1/3 or 1 x 7 x 1-1/7 or 2 x 3 x 1-1/3 or 2 x 5 x 0.8 or 2 x 6 x 2/3 or 2 x 7 x 4/7 or 2 x 8 x 1/2 . . etc.
