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Value of $x$ that maximizes volume: Your answer is incorrect.

Maximum volume: Your answer is incorrect.

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures $4$ inches by $9$ inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the $9-$inch sides. $($See Figure $1.)$ The remaining cardboard will be folded to form the box and its lid. $($See Figure $2.)$ Letting $x$ represent the side$-$lengths $($in inches$)$ of the squares, use the ALEKS graphing calculator to find the value of $x$ that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.

Value of $x$ that maximizes volume:

$0\mathrm{.}86$ in

Maximum volume:

$14\mathrm{.}28$ in ${?}^3$

Min: $,x=0,Y=0$

Max: $,x=0\mathrm{.}8649584,Y=14\mathrm{.}2750085$