Unit cube unit hypercube of "n" dimensions is formula_1, the square root of "n" and the (Euclidean) length of the vector (1,1,1...1,1) in "n"-dimensional space. 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
The Cube (film) and this is what his afterlife is like, the Man is visited by a scientist (William Osler) who asks the Man to define reality for him. When the Man claims that the hammer doesn't exist, the scientist proves him wrong by throwing the hammer at one of the cube's walls causing a hole in it. Arnie reprimands the scientist for breaking the wall and gives him his hammer back while he gets the wall fixed. Upon being unable to convince the Man, the scientist leaves hoping that the Man rots in the Cube. Arnie fixes the hole and leaves stating