Measure the area where you plan to place the finished utility sink. Cut 2-by-4-inch boards the height you wish the sink to sit, making two boards per corner of the sink’s cabinet. Join the pairs of boards together by driving wood screws through both ends of the pair of boards.
Cut other 2-by-4-inch boards forming the rest of the sink cabinet’s frame. Drive wood screws through the ends of the single boards into the dual boards at the cabinet’s corners.
Measure the frame’s open areas that you wish to cover up, especially the cabinet’s top. Cut flat boards that fit in the areas you measured, and then attach the boards to the frame using wood screws.
Place the sink on the top of the cabinet and trace around the sink’s bottom of the sink. Drill a hole inside the area you traced, and then insert a jigsaw’s blade in the hole you drilled. Cut the board along the line you traced.
Spread silicone caulk onto the sink opening you cut, and then lower the sink into the cutout. Roll plumber’s putty between your hands and wrap it around the sink’s drain opening. Press the sink’s drain body into the drain opening. Tighten the compression nut onto the drain body’s bottom using an adjustable wrench. Thread plastic drainpipes onto the sink’s drain body, angling the pipes so they empty into a bucket under the sink’s cabinet.