Use Euler’s formula to answer the question.

Question

A polyhedron has 12 edges and 6 faces, how many vertices does it have?

Answer 1

Euler's formula state that for a polyhedrons,
V+F=E+2
V=number of vertices
E=number of edges
F=number of faces

Take a tetrahedron, which has
6 edges, 4 vertices and 4 faces
4+4=6+2

For the given polyhedron,
E=12
F=6
So solve for V in
F+V=E+2

Post your answer for a check if you wish.