We know, volume of rectangular prism is given by :
[tex]V = lbh\\\\V=\dfrac{1}{2}\times 2\times 2\ ft^2\\\\V=2\ ft^2[/tex]
Volume of cubic box :
[tex]v=a^3\\\\v=(\dfrac{1}{2})^3\ ft^3\\\\v=\dfrac{1}{8}\ ft^3[/tex]
Number of cubes can be filled :
[tex]N=\dfrac{V}{v}\\\\N=\dfrac{2}{\dfrac{1}{8}}\\\\N=16[/tex]
Therefore, 16 cubes can be put in the bin.
Hence, this is the required solution.
