Quiz 11 MAT 118, Spring 2003

- A dodecahedron has 12 faces, each of which is a regular pentagon.
How many edges does it have? How many vertices does it have? Write your
answers in the spaces below.

A dodecahedron hasedges and*30*vertices.*20***Solution:**There are 12 faces, each of which is a regular pentagon. Each face has 5 edges, but each edge is shared by exactly one other face. This means that there are edges in all.To get the number of vertices, we use Euler's formula, filling in what we know, and then solving for .

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Scott Sutherland 2003-05-09