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Volume to Area ratio for Regular Solids

18 · John Cook · July 20, 2026, 6:54 p.m.
Math Geometry mathematics Geometry Regular Solids Volume
Summary
This post explains the volume to area ratio for regular solids, specifically that for a sphere, this ratio simplifies to r / 3. Interestingly, this same ratio applies to all regular solids when considering the radius of their largest inscribed sphere.
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