# Don't ask Just make it

Calculus Level 4

A box of maximum volume with top open is to be made by cutting out four equal squares from four corners of a square Aluminium sheet and then folding up the flaps. The square aluminium sheet has the side length $$X$$.

If the side length of the square cut-off can be represented as $$\frac{97X}{n}$$, find $$n$$.

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