Question

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

Answer 1

The Last option

Explanation:

We see this figure has eight faces, so we already know the answer choice is D, because answer choice D is the only option with 8 faces.

Now let's prove this using Euler's Formula

F = Faces

V = Vertices

E = Edges

We see 12 vertices, 8 faces, and 18 edges. Now plug in the formula.

F + V = E + 2

8 + 12 = 18 + 2

20 = 20