C$048$Exp$6$

A rectangular box with no top is constructed by cutting equal squares from each corner of a $36$ in $.$ by $24$ in $.$ rectangular piece of cardboard and bending up the sides. Find the dimensions for maximum volume, and that volume.

$($Round the answers up to two decimal places$)$

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Length:

in$.$

Height:

in$.$

Volume:

in$.$

in ${?}^3.$