Triangular Cupola Calculation

The triangular cupola has an equilateral hexagon as its base and an equilateral triangle as its top. The sides of the cupola are bounded by three squares and three equilateral triangles. All edges have the same length. The triangular cupola is one of the Johnson solids (J₃).

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

Triangular Cupola 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 Triangular Cupola

Volume	\(\displaystyle V=\frac{5}{6}·a^3·\sqrt{2}\)
Surface area	\(\displaystyle S= \frac{a^2}{2} · (6+5 ·\sqrt{3})\)
Height	\(\displaystyle h=2 · Ri \)
Circumradius	\(\displaystyle r=a \)