Math puzzle: The Ant Goes Marching

June the ant has to crawl along the surface of four different 3-D objects to reach her dinner. Your job is to help her find the shortest path along the surface of each object, so that she can chow down as quickly as possible. June is one hungry ant!

1. Suppose June starts at one corner of a cube with a side length of 1 meter. Her dinner is at the opposite corner of the cube.