Franklin the Fly lives at one corner of a cube of side length 1. He doesn't like to wander too far from home; in fact, Franklin is only willing to travel to a point on the cube if he can reach it by crawling a distance of at most \sqrt{5} along the surface of the cube from his home. Which of the following percentages is the closest to the proportion of the surface of the cube that Franklin can reach?

onyuIee Oct 30, 2024