Hello everyone,

The prelude to an optimalisation problem with areas is the composition of the area formula. However, I have come across an image from which I just cannot seem to create the formula, however I have got the feeling that it should be incredibly easy. Could someone please take a look?

Someone places n of these boxes upon one another (n does not have to be an integer) to create a block with volume 1000.

Prove that the area formula is:

Thanks in advance,

Tom Koolen