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.

Cuboctahedron calculator  Input Delete Entries Edge length Volume Surface Outer radius Midsphere radius Decimal places 0 1 2 3 4 6  Resultate Edge length a Volume V Surface S Outer radius rc Midsphere radiusrm

Formulas for the cuboctahedron

Volume
\(\displaystyle V=\frac{5 · \sqrt{2} · a^3}{3}\)	\(\displaystyle a= \sqrt[3]{ \frac{3 · V }{5 ·\sqrt{2}}} \)
Surface
\(\displaystyle S= 2 · a^2 · (3 +\sqrt{3})\)	\(\displaystyle a= \sqrt{ \frac{S}{2 ·(3+\sqrt{3})}} \)
Outer radius
\(\displaystyle rc=a\)
Midsphere radius
\(\displaystyle rm=\frac{a · \sqrt{3}}{2} \)	\(\displaystyle a=\frac{2 · rm}{\sqrt{3}} \)