The pentagonal cupola is Johnson solid . Its faces consist of 5 equilateral triangles, 5 squares, one pentagon, and one decagon. It is therefore a (non-regular) dodecahedron.

The surface area and volume of the triangular cupola with unit edge lengths are

See also

Cupola, Johnson Solid, Square Cupola, Triangular Cupola

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Cite this as:

Weisstein, Eric W. "Pentagonal Cupola." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentagonalCupola.html

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