**P. 4834.** A uniform density cuboid of edges \(\displaystyle a<b<c\) is on the horizontal ground such that its base is its smallest face. The object is turned over about the edge \(\displaystyle b\) (which edge remains at rest) such that the least work is performed. This work is 25 times less than the greatest kinetic energy of the cuboid during the turnover. Determine the ratio of the greatest and the smallest edges.

(4 points)

**Deadline expired on 10 May 2016.**