Cuboctahedron
Calculator and formulas for calculating a Cuboctahedron
This function calculates various properties of a cuboctahedron. A cuboctahedron is the combination of a cube and an octahedron.
To perform the calculation, select the property you know and enter its value. Then click on the 'Calculate' button.
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Cuboctahedron formulas
Volume \(\small{V}\)
\(\displaystyle V=\frac{5 · \sqrt{2} · a^3}{3}\)
Surface \(\small{S}\)
\(\displaystyle S= 2 · a^2 · (3 +\sqrt{3})\)
Outer radius \(\small{r_c}\)
\(\displaystyle r_c=a\)
Midsphere radius \(\small{r_m}\)
\(\displaystyle r_m=\frac{a · \sqrt{3}}{2} \)
Edge length \(\small{a}\)
\(\displaystyle a= \sqrt[3]{ \frac{3 · V }{5 ·\sqrt{2}}} \)
\(\displaystyle a= \sqrt{ \frac{S}{2 ·(3+\sqrt{3})}} \)
\(\displaystyle a=\frac{2 · rm}{\sqrt{3}} \)
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