Friday

August 29, 2014

August 29, 2014

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

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

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

**Related Questions**

math - Use Eulerʹs formula to answer the question. A polyhedron has 36 ...

math - If a polyhedron has 13 vertices and 21 faces, how many edges does it have...

geometry - use Euler's formula to find the missing number. Vertices: 10 Edges: ...

math - A polyhedron has 15 vertices and 31 edges. How many faces does it have?

math - a polyhedron has 36 edges and 21 faces, how many vertices does it have? ...

Geometry - A polyhedron has 33 edges and 20 faces. How many vertices does it ...

GEOMETRY - If a polyhedron has 13 vertices and 21 faces, how many edges does it ...

math-PLEASE HELP - Answer the following questions to determine why Euler’s ...

geometry - determine why Euler's formula continues to hold for the polyhedron ...

geometry - Answer the following questions to determine why Euler’s formula ...