May I suggest ,, see below,,,most drawers can't take the pulling or pushing of the user ,,,in and out,,the glue and nails will work just fine but it needs to use the wood (joint) in the right way
Just a note for Norm,, ,,,,you ask what the jig is for, it's just a snapshot that slipped in the group,,it's a jig to make door panels on the table saw... it has nothing to do with the simple box or the joints for them.
I did add some more snapshots, to show how to make it and how to use it on the table saw..
I will say ,,using sliding dovetail joints ,,, no need for nails or screws,just a little bit of glue,, plus you don't see the joints the norm..the dovetail joint can be cut off the front part of the drawer once it's glued up so the drawer can side in all the way..
, it's best to cut off a little bit of it and use a trim bit to get it flush with the side of the drawer...
Would a drawer like the one shown be strong if glued and nailed?
It is pretty simple and I know it would not be as strong as a dovetailed joint. But if made out of 1/2 inch Baltic Birch, which is stable, I wonder with our modern glues, if this wouldn't last a long time.
I would buy a drawer lock bit, but I have heard that there is tear out issues.