Mark one end of two 60-by-6-by-1-inch boards for the sides and one 10-inch end of a 60-by-10-by-1/4-inch plywood sheet for the back with a red marker. The end with the mark will be the top of the bathroom tower.
Cut a 1/4-inch dado into one 60-inch edge of the side boards with the 1/4-inch dado blade and a table saw.
Cut dadoes across the 6-inch sides of the two side boards using the dado blade and the table saw. Mark the six dadoes to be cut measured from the top at 2 inches, 12 inches, 22 inches, 32 inches, 44 inches, and 58 inches.
Insert the back into the 60-inch dadoes on the side boards. Secure the back to the side boards with 2-inch wood screws placed at 3-inch intervals starting 1/2-inch from the top using a cordless drill.
Drip wood glue into all six sets of dadoes along the inside of the bathroom tower. Insert a 10-by-6-by-1-inch pine board into each set of dadoes.
Attach two small hinges to one edge each of the two 5-by-10-by-1-inch pine boards and two 5-by-12-by-1-inch pine boards using 1/2-inch wood screws and a cordless drill to make four cabinet doors. Set the hinges at two inches in from both ends of the board.
Attach the two 10-inch cabinet doors to the first 10-inch section, which is the second section on the tower, by screwing the hinges to the side boards with 1/2-inch wood screws.
Attach the two 12-inch cabinet doors to the bottom section of the bathroom tower by screwing the hinges to the side boards with 1/2-inch wood screws.
Attach a 12-by-2-by-1-inch pine board, the facing, to the top front and bottom front of the bathroom tower using a 2-inch wood screw in each corner two inches from the end. Use a router to round the top facing around the top and side edges.