Answer:
F = 6
Step-by-step explanation:
Given:
Euler's formula V - E + F =2
Where,
V = vertices
E = number of edges
F = number of faces of a polyhedron
Solve Euler's formula for F
V - E + F = 2
Subtract V and add E to both sides
F = 2 - V + E
How many faces does a polyhedron with 8 vertices and 12 edges have
When V = 8 and E = 12
F = 2 - V + E
= 2 - 8 + 12
= 6
F = 6
Therefore, a polyhedron with 8 vertices and 12 edges have 6 faces
