Once there were cubes and spheres

Geometry Level 4

A sphere and a cube have the same surface area. If the ratio of the volume of the cube to the sphere can be expressed in the form

\[ \left(\frac {A}{B}\right)^{n} \]

where \(A = \pi\), \(B\) is an integer, and \(n\) is rational, find the value of \( A+B+n\).

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