A dodecahedron composed by twelve regular pentagons.

Polyhedron with twelve faces, all of them regular pentagons. It has thirty edges and twenty vertices. It is a Platonic solid as its faces are congruent regular polygons.

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

Surface area=325+105a2\text{Surface area}=3 \sqrt{25+10 \sqrt{5}}a^2

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

Volume=15+754a3\text{Volume}=\frac{15+7\sqrt{5}}{4}a^3

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