No matter how many times you cut the box, the total area is the sum of the small areas.

How?you ask.Well, let's think of it this way.Let's start with a square that has area of one meter.Now let's chop the square in half,and then chop the remaining half in half,and so on.While we're doing this,let's keep track of the areas of the pieces.The first slice makes two parts,each with an area of one-half The next slice divides one of those halves in half,and so on.But, no matter how many times we slice up the boxes,the total area is still the sum of the areas of all the pieces.