The surface distance between \(2\) points on the surface of a cube is the length of the shortest path on the surface...

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The surface distance between \(2\) points on the surface of a cube is the length of the shortest path on the surface of the cube that joins the \(2\) points. If a cube has edges of length \(4\) centimeters, what is the surface distance, in centimeters, between the lower-left vertex on its front face and the upper right vertex on its back face?

\(A.\, 8\)
\(B.\, 4\sqrt{5}\)
\(C.\, 8\sqrt{2}\)
\(D.\, 12\sqrt{2}\)
\(E.\, 4\sqrt{2}+4\)

Answer: B

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