Question 52399
The graph of this polynomial in fuctional notation and simplfied will be
 {{{V(x)=4x^3-14x^2+48x}}} 

Notice x>0 because it is impossible to have an 0 length in volume, and negative numbers are also clearly impossible

Plot in your graphing calcultor this function, where {{{Y=4x^3-14x^2+48x}}}
Your Window should look like
X(min)= -8.5            Y(min)= 0
X(max)=  27             Y(max)= 62
X(step/scl)= 6          Y(step/scl)= 6

You will see the maximum occurs when x=2.4