Science:Math Exam Resources/Courses/MATH 180/December 2017/Question 12 (a)/Statement

Suppose you wish to construct an enclosed box of maximal volume out of an ${\textstyle L\times L}$ square sheet of cardboard by removing the shaded areas below and folding along the dotted lines. (Each unshaded region will form exactly one side of the box.)

(a) Write down an expression for the volume ${\textstyle V(x)}$ of the box.