Answer:
6 inches
Step-by-step explanation:
Hi there!
[tex]V=lwh[/tex] where l is the length, w is the width and h is the height of a rectangular prism
Plug in the volume (609), length (14.5) and width (7)
[tex]609=(14.5)(7)h\\609=(101.5)h[/tex]
Divide both sides by 101.5 to isolate h
[tex]\frac{609}{101.5} =\frac{101.5h}{101.5} \\6=h[/tex]
Therefore, the height of the shoebox is 6 inches.
I hope this helps!