Question

A tiny pyramid whose faces are triangles is sliced off at each vertex of a large cube. How many vertices does the resulting polyhedron have?

Answer 1

There are only five regular polyhedra in the universe: the regular tetrahedron (which has four triangular faces), the cube (which has six square faces), the regular octahedron (which has eight triangular faces), the regular dodecahedron (which has 12 pentagonal faces ), and the regular icosahedron (which has 20 triangular faces).

Explanation: