Triakis Tetrahedron

Calculators and formulas for triakis tetrahedron

Calculate triakis tetrahedron


This function calculates various parameters of a triakis tetrahedron. Entering one value is sufficient for the calculation; all others are calculated from it.

The triakis tetrahedron is a convex polyhedron made up of 12 isosceles triangles. It has 8 corners and 18 edges.

To calculate a triakis tetrahedron, select the property you know from the menu and enter its value. Then click on the 'Calculate' button.


Triakis tetrahedron calculator

 Input
Argument type
Argument value
Decimal places
 Results
Tetrahedron edge a
Pyramid edge b
Surface A
Volume V
Height h
Edge radius RK
Inner radius RI

triakis tetrahedron

Formulas for the triakis tetrahedron


Pyramid edge \(\displaystyle b=\frac{3·a}{5}\)
Height \(\displaystyle h=\frac{3·a·\sqrt{6}}{5}\)
Surface \(\displaystyle A=\frac{3·a^2·\sqrt{11}}{5}\)
Volume \(\displaystyle V=\frac{3·a^3·\sqrt{2}}{20}\)
Edge radius \(\displaystyle R_K=\frac{a·\sqrt{2}}{4}\)
Inner radius \(\displaystyle R_I=\frac{3·a}{4}·\sqrt{\frac{2}{11}}\)

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