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Problem 54

Geometry Difficulty 1.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2009

The number of faces ( $F$ ), vertices ( $V$ ) and edges ( $E$ ) of a polyhedron are related by the equation $F + V - E = 2$ . If a polyhedron has 6 faces and 8 vertices, how many edges does it have? (A) $12$ (B) $14$ (C) $16$ (D) $18$ (E) $10$

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