DK-GEORGMOHR 2000 Problem 2
Three identical spheres fit into a glass with rectangular sides and bottom and top in the form of regular hexagons such that every sphere touches every side of the glass. The glass has volume cm . What is the sidelength of the bottom?

Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2000 official paper, page 1.
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