Identify the numbers of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

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V = 6, E = 7, F = 3; 6 − 7 + 3 = 2
V = 6, E = 9, F = 5; 6 − 9 + 5 = 2
V = 4, E = 7, F = 5; 4 − 7 + 5 = 2
V = 4, E = 9, F = 7; 4 − 9 + 7 = 2

Answer 1

For the first part, you'd have to count the number of vertices, edges, and faces you see in the picture. There are 6 Vertices, 9 Edges, and 5 faces. Then, using the formula V+F=E+2, you'd know that 6+5=9+2, because 11=11, therefore, the formula is accurate! :D