Pentagonal Bipyramid Calculation

The pentagonal bipyramid consists of two Johnson pentagonal pyramids joined at their bases. The sides of the pyramid consist of 10 equilateral triangles. The triangular bipyramid belongs to the group of Johnson solids (J₁₃)

To perform the calculation select the property you know from the menu and enter its value. Then click on the 'Calculate' button.

Pentagonal Bipyramid Calculator  Input Delete Entry Edge length Volume Surface area Height Decimal places 0 1 2 3 4 6   Results Edge length a Volume V Surface area S Height h

Formulas for the pentagonal bipyramid

Volume

\(\displaystyle V=\frac{5 + \sqrt{5}}{12} · a^3 \;\;\;\;≈ 0.603 ·a^3\)

Surface area

\(\displaystyle S= \frac{5·\sqrt{3}}{2} · a^2\;\;\;\;≈ 4.33 ·a^2\)

Height

\(\displaystyle h= 2 · \sqrt{\frac{5 - \sqrt{5}}{ 10}} · a\;\;\;\;≈ 1.051·a\)