Let us assume that the earth becomes a cube. What is the ratio of the minimum distances that a person has to travel along the surface to get to a point diagonally opposite on the cuboidal earth to the distance that he would travel on the spherical one. Assume that the length of a side of the new earth is the radius of the earlier one.
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Explanation:
ratio = r(√2 + 1) ÷ πr = √2 + 1 : π
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