Truncated Octahedron
Calculator and formulas for calculating a truncated octahedron
This function calculates various properties of a truncated octahedron. A truncated octahedron is created from an octahedron where the corners are cut off in such a way that all edges are the same length.
To perform the calculation, select the property you know and enter its value. Then click on the 'Calculate' button.
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Truncated Octahedron Formulas
Volume \(\small{V}\)
\(\displaystyle V= 8· a^3 ·\sqrt{2}\)
Surface area \(\small{S}\)
\(\displaystyle S= 6 · a^2 ·(1+2· \sqrt{3})\)
Outer radius \(\small{r_c}\)
\(\displaystyle r_c=\frac{a·\sqrt{10}} {2} \)
Midsphere radius \(\small{r_m}\)
\(\displaystyle r_m=\frac{3·a}{2}\)
Edge length \(\small{a}\)
\(\displaystyle a= \sqrt[3]{ \frac{ V }{8 ·\sqrt{2}}} \)
\(\displaystyle a= \sqrt{ \frac{S}{6·(1+2· \sqrt{3})}} \)
\(\displaystyle a=\frac{2·r_c}{ \sqrt{10}} \)
\(\displaystyle a= \frac{2 ·r_m}{3} \)
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