Vanilla box company is going to make open topped boxes out of 12'' * 12'' rectangles of cardboard by cutting squares out of the corners and folding up sides.What is the largest volume box it can make this way.
Vanilla box company is going to make open topped boxes out of 12'' * 12'' rectangles of cardboard by cutting squares out of the corners and folding up sides.What is the largest volume box it can make this way.
Let the height of the box be x. If you draw a net it should be obvious that $\displaystyle V = x(12 - 2x)^2$.