we have
[tex]V(x)=x^3-12x^2+48x-64[/tex]
we know that
The volume of a cube is equal to
[tex]V=b^{3}[/tex]
where
b is the length side of a cube
Using a graph tool------> find the roots of the polynomial
see the attached figure
x=4
so
[tex]x^3-12x^2+48x-64=(x-4)^{3}[/tex]
therefore
The answer is
the length side of a cube is equal to (x-4)
