Platonic Solids Calculator
Calculate the volume, area, faces, edges, and vertices for all five Platonic solids.
The Five Platonic Solids
A Platonic solid is a regular, convex polyhedron. It is constructed by congruent, regular polygonal faces with the same number of faces meeting at each vertex. In 3D geometry, exactly five of these exist.
Euler's Formula
For any Platonic solid (and all convex polyhedra), the relationship between Faces (F), Vertices (V), and Edges (E) always satisfies Euler's formula: F + V - E = 2.
Frequently Asked Questions
What is a dodecahedron made of?
A regular dodecahedron is composed of 12 regular pentagon faces.
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