Posted by **Rena** on Thursday, February 10, 2011 at 10:55am.

Use Euler’s formula to answer the question.

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

- Math-Geomety -
**MathMate**, Thursday, February 10, 2011 at 11:40am
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.

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