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The cube root is the inverse function of the cube function if considering only real numbers, but not if considering also complex numbers: although one has always. ( x 3 ) 3 = x , {\displaystyle \left ( {\sqrt [ {3}] {x}}\right)^ {3}=x,} the cube root of the cube of a number is not always this number. For example,

The cube root rule or cube root law is an observation in political science that the number of members of a unicameral legislature, or the lower house of a bicameral legislature, is about the cube root of the population being represented. The rule was devised by Rein Taagepera in his 1972 paper "The size of national assemblies".

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex . The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 = −(n 3). The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n ...

The cube rule or cube law is an empirical observation regarding elections under the first-past-the-post system. The rule suggests that the party getting the most votes is over-represented (and conversely, the party getting the fewest votes is under-represented).