Most famous impossible problem from greek antiquity ?

The Delian Problem, is one of the most famous unsolved problems in history, that were first posed by the Greeks. 
The problem is the following:  Given a cube, construct by means of straight edge and compass only, a cube with double the volume.
It is impossible because the number  would have to be constructed, and the minimal polynomial of  is , which has degree .

32.10 is the correct answer