Answer:
The number of vertices in the polyhedron is [tex]9[/tex]
Step-by-step explanation:
we know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
so
[tex]V - E + F = 2[/tex]
In this problem we have
[tex]F=9, E=8+8=16[/tex]
substitute and solve for V
[tex]V - 16 +9 = 2[/tex]
[tex]V = 2+7=9[/tex]
