Pentagonal Bipyramid Calculation

This function calculates the properties of a regular pentagonal bipyramid (or dipyramid).

To perform the calculation, enter the base length and the height of the pyramid. Then click the 'Calculate' button.

Pentagonal Bipyramid Calculator  Input Delete Entries Base side length a Height h Decimal places 0 1 2 3 4 6 8 10  Results Slant height s Edge length e Total height i Slant area As Surface area S Perimeter P Volume V

Regular pentagonal bipyramid formulas

Slant height

\(\displaystyle s = \sqrt{h^2 + \frac{a^2 · cot^2(\frac{π}{5})}{4}} \)

Edge length

\(\displaystyle e =\sqrt{\frac{s^2 + a^2}{4}}\)

Total height

\(\displaystyle i = 2 · h \)

Slant areae

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

Surface area

\(\displaystyle S = 5 · a·s \)

Perimeter

\(\displaystyle P = 5 ·a \)

Volume

\( \displaystyle V = \frac{ 5 · a^2· h }{6 · tan(\frac{π}{5})} \)