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?

MathGeomety  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.