The dimensions of the box are = 4 feet (length); 3 feet(width); 2 feet(height)
So, volume of the box is = [tex]4\times3\times2=24[/tex] cubic feet
The dimensions of the storage locker are = 12 feet(length); 6 feet(width) ; 9 feet(height)
So, volume of the storage locker is = [tex]12\times6\times9=648[/tex]
So, the greatest number of boxes that can be stored are =
[tex]\frac{648}{24}= 27[/tex] boxes
Hence, a maximum of 27 boxes are stored.