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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.