Pentagonal Bipyramid Calculation
Calculator and formulas for calculating a regular pentagonal bipyramid (or dipyramid)
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.
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Formulas for the pentagonal double pyramid
Slant height (\(\small{s}\))
\(\displaystyle s = \sqrt{h^2 + \frac{a^2 · cot^2(\frac{π}{5})}{4}} \)
Edge length (\(\small{e}\))
\(\displaystyle e =\sqrt{\frac{s^2 + a^2}{4}}\)
Total height (\(\small{i}\))
\(\displaystyle i = 2 · h \)
Slant area (\(\small{A_s}\))
\(\displaystyle A_s = \frac{a · s }{ 2} \)
Surface area (\(\small{S}\))
\(\displaystyle S = 5 · a·s \)
Perimeter (\(\small{P}\))
\(\displaystyle P = 5 ·a \)
Volume (\(\small{V}\))
\(\displaystyle V = \frac{ 5 · a^2· h }{6 · tan(\frac{π}{5})} \)
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