# 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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