Answer:
[tex]V = 8[/tex]
Step-by-step explanation:
we know that
The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
[tex]V - E + F = 2[/tex]
in this problem we have
[tex]V=?\\E=12\\F=6[/tex]
substitute the given values
[tex]V - 12 + 6 = 2[/tex]
solve for V
Combine like terms left side
[tex]V - 6 = 2[/tex]
Adds 6 both sides
[tex]V - 6+6 = 2+6[/tex]
[tex]V = 8[/tex]
