1957 AHSME Problems/Problem 17

Problem

A cube is made by soldering twelve $3$ -inch lengths of wire properly at the vertices of the cube. If a fly alights at one of the vertices and then walks along the edges, the greatest distance it could travel before coming to any vertex a second time, without retracing any distance, is:

$\textbf{(A)}\ 24\text{ in.}\qquad \textbf{(B)}\ 12\text{ in.}\qquad \textbf{(C)}\ 30\text{ in.}\qquad \textbf{(D)}\ 18\text{ in.}\qquad\textbf{(E)}\ 36\text{ in.}$

Solution

$\boxed{\textbf{(A) }24 \text{ in.}}$

1957 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 16	Followed by Problem 18
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1957 AHSME Problems/Problem 17

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