Problema Solution

an open-top rectangular box has a square base and it will hold 103 cubic centimeters (cc). Each side has a length x cm, and it has a height of y cm. Express the surface area as a function of the length of x of a side of the base.

Answer provided by our tutors

the volume of the box is


(x^2) * y = 103


y = 103/(x^2)


the surface area is


A = x^2 + 4*x*y


plug y = 103/(x^2) into the last equation


A = x^2 + 4*x*103/(x^2)


A = x^2 + 412/x