Place the pieces of 2-by-6 in a perfect square, not a rectangle, on a flat surface. It should look like a miniature sandbox. Attach the boards to each other with 3-inch wood screws, two at each corner.
Place one piece of plywood squarely on top of the box. Attach with the 2-inch screws.
Turn the box over and place the other piece of plywood on top of it. With the piece of plywood placed squarely on the box, position the hinges at one edge of the piece of plywood. Space the hinges evenly from each other, about 2 inches from the ends of the piece of plywood. Attach the hinges to the plywood and 2-by-6 with 3/4-inch screws.
Position the hasp over the edge of the plywood and 2-by-6, so that the catching mechanism is against the 2-by-6. This is done at the opposite edge of the piece of plywood. Attach with 3/4-inch screws.
Attach the handle on one side of the box in the center of the 2-by-6, using the 1 1/4-inch screws.
Apply a bead of construction adhesive in a serpentine pattern to the plywood top. Place the outdoor carpet on the construction adhesive and apply even pressure to remove air pockets.