Grab a piece of paper. Find the maximum volume obtainable, by cutting corners out of the box.

I haven't done this math before, and It was part of a puzzle based question for a topic I'm doing.

and the funny thing is this is a particular component of math I'm doing next year.

We know that all cuts must be identical to make an open cut box.

Assuming dimensions of 297mm and 210mm.

The maximum allowable cut is 210mm/2 = 105mm (although anything near would be practically useless)

Basically I have so far. where do I go from here?

I've plugged the values in and I get 24x-2028 = 2028/24 = 84.5mm.

I plugged this into wolfram, but I did get the 2028 somewhere in my working out. oh yeah it was -2x * by length and by width. am I on the right track?

I'm not right the answer is around about 40mm according to my spreadsheet.