Flashcard 12 - Math Flashcard Set for the SAT Exam

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According to Euler’s Theorem, for every polyhedron, F + V = E + 2, where F, V, and E are its number of faces, vertices, and edges, respectively. By subtracting 2 from both sides of the equation, this can be rewritten as E = (F + V) – 2. Substituting variables with known quantities yields E = (7 + 7) – 2 = 14 – 2 = 12 edges.