A truncated dodecahedron composed by twelve regular decagons and twenty equilateral triangles.

Polyhedron with thirty two faces: twelve regular decagons and twenty equilateral triangles. It has ninety edges and sixty vertices. It is a Archimedean solid as it is a convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed of only one type of polygon) and excluding the prisms and antiprisms.

The surface area of a truncated dodecahedron with edge length a is given by the formula:

\text{Surface area}=5\left( \sqrt{3}+6 \sqrt{5+2 \sqrt{5}} \right) a^2

The volume of a truncated dodecahedron with edge length a is given by the formula:

\text{Volume}=\frac{5}{12} \left( 99+47 \sqrt{5} \right) a^3

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