A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units. == Unit hypercube == The term unit cube or unit hypercube is also used for hypercubes, or `cubes` in n-dimensional spaces, for values of n other than 3 and edge..... Found on http://en.wikipedia.org/wiki/Unit_cube