The Truncated Dodecahedron has 32 faces ,it contains twenty triangles ,and twelve 10-regular faces is the Archimedean solid  .It is also uniform polyhedron   and Wenninger model  .

      The uniform polyhedra are polyhedra with identical polyhedron vertices. Badoureau discovered 37 nonconvex uniform polyhedra in the late nineteenth century, many previously unknown (Wenninger 1983, p. 55). The uniform polyhedra include the Platonic solids and Kepler-Poinsot solids.

      The surface area of the solid is

      The  volumn of the solid is