Pentagonal Bipyramid Calculation
Calculators and formulas for a pentagonal bipyramid (Johnson solid J13))
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.
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Pentagonal Bipyramid Formulas
Volume (\(\small{V}\))
\(\displaystyle V=\frac{5 + \sqrt{5}}{12} · a^3 \;\;\;\;≈ 0.603 ·a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S= \frac{5·\sqrt{3}}{2} · a^2\;\;\;\;≈ 4.33 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h= 2 · \sqrt{\frac{5 - \sqrt{5}}{ 10}} · a\;\;\;\;≈ 1.051·a\)
Square Pyramid • Pentagonal Pyramid • Triangular Cupola • Square Cupola • Pentagonal Cupola • Rotunda • Elongated Triangular Pyramid • Elongated Square Pyramid • Elongated Pentagonal Pyramid • Triangular Bipyramid • Pentagonal Bipyramid • Elongated Square Bipyramid • Gyrobifastigium • Gyroelongated Square Dipyramid • Snub Disphenoid
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