Answer :
A rectangular box has a volume of:
[tex]V=lwh[/tex]Plugging the values given we have:
[tex]\begin{gathered} 5184=24\cdot18\cdot h \\ 5184=432h \\ h=\frac{5184}{432} \\ h=12 \end{gathered}[/tex]Therefore the height of the box is 12 inches.