We are asked to stack 84 boxes in a two layers display:
the number of boxes is:
[tex]V=l\times w\times h[/tex]Since we need two layers, this means that h =2:
[tex]V=l\times w\times2[/tex]Since the number of boxes is 84, we replace V = 84:
[tex]84=l\times w\times2[/tex]We divide by 2 and we get:
[tex]\begin{gathered} \frac{84}{2}=l\times w \\ 42=l\times w \end{gathered}[/tex]There must be 42 boxes in the length and width directions.
We can use 7 boxes in the length directions and since each box has a side of the total length would be:
[tex]L=2in\times7=14in[/tex]And we can use 6 boxes in the width direction and the width would be:
[tex]W=2in\times6=12in[/tex]Therefore, the display is:
[tex]\begin{gathered} l=7\text{boxes} \\ w=6\text{boxes} \\ h=2\text{boxes} \end{gathered}[/tex]
