I need some assistance with getting the measurements and how much I can get out of a piece of Melamine coated MDF board.

The sheeting I am looking at is 3/4" thick and is 49"x97". I am wanting to build a 35"x23 1/2"x 46" cage for my rats out of this stuff. Home Depot says they can cut it for free, I just need the specs on what dimensions I should cut out of each huge sheet. I want to get as much out of one sheet as I can, and I plan on buying two sheets. The back of the cage will be waterproofed plywood so the cage will be lighter.

Thanks for the help, to anyone who does help