Arsema is planning to make a simple open box out of a piece of thick paper by cutting squares out of the
four corners, folding the sides up, and taping the corners. Arsema drew out her plan, and it looks like
this:
26 cm
1.
20 cm
As Arsema draws her plan, she wonders what size she should make the squares so that her box has the
maximum volume.
Write a function V(x) that models the volume of the box where the length of the sides of the
squares is x cm. (The formula for the volume of a box is: V = 1 w h). Please also provide a graph and the height of the box.