Decide if a body with $$6$$ faces, $$4$$ edges and $$3$$ vertexes is a polyhedron.
See development and solution
Development:
We identify every term of the relation of Euler to be able to determine if it is a polyhedron. Since we have that $$$c = 6, \quad a = 4 \quad \text{ and } \quad v = 3$$$
Solution:
FALSE, the Euler relation is not satisfied since $$6 + 3 \neq 4 +2$$.