To find:
The formula of volume of open box in terms of x.
Solution:
Given that a square of side x is cut down from each corner. So, the length and width are decreased by 2x and height of the open box becomes x. So, the volume of the open box will be:
[tex]\begin{gathered} V=lwh \\ V=(14-2x)(11-2x)(x) \\ V=x(154-28x-22x+4x^2) \\ V=x(154-50x+4x^2) \\ V=4x^3-50x^2+154x \end{gathered}[/tex]
Thus, the answer is:
[tex]4x^3-50x^2+154x[/tex]
