The total number of boxes that can be loaded onto the trailer is 27.
Here we have to determine the maximum number of boxes.
That can be stored in a locker by the volume of one box.
From the given information volume of the box is Vb and the volume f the locker is Vl.
What is the volume of the box?
[tex]Volume=Length\times width\times height[/tex]
Therefore we get,
[tex]V_b=4\times3\times2\\V_b=24ft^3[/tex]
The volume of the locker is
[tex]V_L=12\times6\times 9\\V_L=684ft^3[/tex]
Therefore the number of the maximum boxes are
[tex]\frac{VL}{V_b} =\frac{648}{24} \\=27[/tex]
Therefore, The total number of boxes can be loaded onto the trailer are 27.
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