When assembled, the box is 67mm by 35mm by 93mm (Default). This box has two slots: a slot to hold your main deck (up to 60 cards) and a smaller slot to hold your extra deck (up to 15 cards).
The box that is featured was printed on a Creality 3 Pro with a 0.4mm nozzle using Polaroid Bronze Silk PLA filament and Inland black Lite PLA filament.
I recommend printing this with a 0.4mm nozzle and in PLA. The quality of the print should work fine for any quality.