Oh, I forgot, are the original measurements the internal measurements or external?
Knowing that will make the calculations easier and more accurate.
*Edit*
Jointing the pieces will also be dependent on the thickness of the plywood. Thin plywood, e.g. 8mm will not provide decent surfaces for gluing so the corners may need strengthening inside with some triangular profile pieces or similar. Thicker plywood will provide a better/larger surface for glue but on its own, glue might not be sufficient. You could always knock a few nails in or drill some holes and glue some dowels in.
More preferable would be to finger joint the sides, rebate the edges of the bottom panel so it half fits inside the sides and glue it. I'm guessing though that you don't have the tools.
I've got to make some drawers for the kitchen unit on my boat (drawers are basically a box) and I'll use the 10 x 10 x 10 method but for that you need a router and the correct (10 mm) bit. It's a very simple and strong method for making drawers. I'll take a picture of one I did earlier if you want but as I said, if you don't have the tools it's gonna be tricky. Routers are also dangerous and putting a router anywhere a piece of decent wood can be a very good reason for buying more wood than you think you'll need.
