Mark six spots on the bin lid where the net pots -- small pots that allow water to flow freely through them -- will be set. Space them as evenly as possible, leaving as much room between them as you can, to give your plants room to grow.
Cut a three-inch hole at each of the six locations. Make sure your net pots will fit down into these holes. Trim the holes slightly with a box knife, if necessary.
Drill a 1/4-inch hole in one end of the bin. Feed the air hose through the hole. Trim the hole if needed to allow the air hose to fit.
Connect the air stone to the air hose on the inside of the bin. The air stone breaks the air pumped into it into many tiny bubbles in order to oxygenate the water. Place the air stone on the bottom of the bin. This will aerate the liquid and bring oxygen to your plants. Connect the other end of the air hose to your air pump.
Mix 8 gallons of nutrient solution. Fill the bin to within one inch from the top with the nutrient solution.
Set a rock wool cube with a plant start in each of the six net pots. Surround the rock wool with silica stones, piling them high enough to completely cover the rock wool cube.
Place the lid on the bin. Set one net pot, with a plant and silica stones in it, in each of the holes in the lid. Make sure the net pots reach into the liquid in the bin.
Plug in the air pump, and check to make sure the air stone is producing plenty of bubbles. This completes your DWC hydroponic system.