Philip P. answered • 12/10/17

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**V**where s is the side length

_{cube}= s^{3}**V**where r is the sphere's radius

_{sphere}= (4/3)·pi·r^{3}Since the volumes are stated to be equal, set them equal:

V

_{cube}= V_{sphere}s

^{3}= (4/3)·pi·r^{3}3/4pi = r

^{3}/s^{3}

^{3}√(3/4pi) = r/s