Answer:
This is a classical problem which has delighted calculus students down through the ages.
We first express the volume of the box as a function of x, the side of the square which is cut out of each corner.
The resulting box will have a base which is a square which all of whose sides will have length 12 - 2x. The height of the box will be x. Therefore, the volume will be
V = (12 - 2x)2x
= 144x - 48x2 + 4x3
Step-by-step explanation:
hope this helps
