Question

A student is attempting to solve the following, "A manufacturer wants to design an open box having a square base and using 108 square inches of cardboard. What dimensions will produce a box with maximum volume?" Which of the following is the likely student error in solving?a) Letting V = lwh = 108b) Taking the derivative of the volume equationc) Identifying the maximum dimensions using a sign chart d) Solving the system of equations using substitutione) The student made no error​

Answer 1

I think student made error in letting

V = 108b

108 is the total surface area of the board, and if utilised completely

2(lb + bh + nl) = 108