Answer: There are 3375 cubes that can be fit along one side of the box.
Step-by-step explanation:
Since we have given that
Volume of cube shaped box = 125 cubic inches
Length of small cubes = [tex]\dfrac{1}{3}\ inch[/tex]
So, volume of small cubes would be
[tex]a^3=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]
so, Number of cubes that can be fit along one side of the box is given by
[tex]125\div \dfrac{1}{27}\\\\=125\times 27\\\\=3375[/tex]
Hence, there are 3375 cubes that can be fit along one side of the box.