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The four vertices of a regular tetrahedron are snipped off, leaving an equilateral triangular face in place of each corner and a regular hexagonal face in place of each original face of the tetrahedron.  What is the ratio of the volume of the new polyhedron to the volume of the original tetrahedron?

 Nov 26, 2020
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 The ratio of the volume of the new polyhedron to the volume of the original tetrahedron is:

 

6.425068997 : 7.54247232       or       0.851851851        or         851 / 999

 Nov 26, 2020
edited by Guest  Nov 26, 2020

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