Calculate Regular Triangular Pyramid

This function calculates various parameters of a regular triangular pyramid. The regular triangular pyramid has an equilateral triangle as its base and three isosceles triangles as lateral surface.

To calculate, enter the base length and the height. Then click on the 'Calculate' button.

Triangular Pyramid Calculator   Eingabe Delete Entries Base length Height Decimal places 0 1 2 3 4 6 8 10   Results Slant height s Edge length b Base area A Slant area Am Surface S Volume V

Formulas for the triangular pyramid

Edge length

\(\displaystyle b =\sqrt{h^2 + \frac{a^2}{3}}\)

Slant height

\(\displaystyle s = \sqrt{\frac{4 · b^2 - a^2}{4}} \)

Base area

\(\displaystyle A = \frac{\sqrt{3} · a^2}{4} \)

Slant area

\(\displaystyle A_m = \frac{ 3 · a·s}{2} \)

Surface

\(\displaystyle S = \frac{\sqrt{3} · a^2}{4} +\frac{ 3 · a·s}{2}\;\;= A+ A_m \)

Volume

\(\displaystyle V = \frac{\sqrt{3} · a^2 · h}{12} \)

Height

\(\displaystyle h = \frac{ 12· V}{ \sqrt{3} · a^2} \)