Unit cube
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.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 length 1.
Sometimes the term "unit cube" refers in specific to the set n of all n-tuples of numbers in the interval .
The length of the longest diagonal of a unit hypercube of n dimensions is, the square root of n and the length of the vector in n-dimensional space.
