SOLUTION: "Express the volume of a cube as a function of its surface area s." I don't understand how the answer is V(s)= ((s)(sqrt(65))/36. I cannot seem to understand how the squareroot com

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Question 402668: "Express the volume of a cube as a function of its surface area s." I don't understand how the answer is V(s)= ((s)(sqrt(65))/36. I cannot seem to understand how the squareroot comes into play. Thanks for your time.
Answer by mananth(16946) About Me  (Show Source):
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"Express the volume of a cube as a function of its surface area s." I don't understand how the answer is V(s)= ((s)(sqrt(65))/36. I cannot seem to understand how the squareroot comes into play. Thanks for your time.
Volume of cube with x as length = x^3
..
Surface area s = 6x^2
divide by 6
s/6= x^2
...
Volume V = x^3 = x^2 *x
Volume V+=+%28s%2F6%29%2Asqrt%28s%2F6%29