There are a number of techniques involved in making this box but the short version is this is mainly a table saw project though of course you could use a multitude of tools. This needs a prop.
Behold the mighty napkin sketch, use it’s vagueness to create your own particulars.
-Anyway I’ll start with B, it’s a dado slightly wider than the thickness of the lid and slightly deeper than half way through the board.
-A is the height of the inside of the finished box.
-C is about 1/2″ or so to keep the lid or bottom from falling off.
-You will need to create strips A+B+B+C+C wide, enough to make 2 E’s (ends) and 2 F’s (sides). —Then create the dadoes for the lid and the bottom in all 4 pieces.
-Cut the 2 E’s to length (the desired inside width of the box).
-Cut one of the E’s at posistion D. This will allow the sliding lid to work.
-Cut the 2 F’s to length (desired length of inside of box+twice thickness of sides).
-For the lid and the bottom it gets easy. Because the dadoes are just slightly deeper than halfway through the side boards the width of the top becomes the length of E plus one side board thickness. So to set up the cut on a table saw put an E next to the blade and put another piece on edge next to the rip fence. Bump them together and you’re there. Cut enough strips to make the top and bottom.
-For the bottom cut one piece to length of F – 1 side thickness.
– assemble, glue and nail three sides together.
– slide bottom into its dado.
– put last side on and nail and glue away.
– slide strip for top into its dado and mark where it stops, cut to length.
– add handle. I used a little strip of plywood that matches the top of the rest of the box.
It may seem complicated but translating a process into words makes it look complicated. Try writing instructions to drink a glass of water the detail can become infinite. I probably need to do this one as a video later.