Measure the size you need for your kitchen countertops. You can even measure out any openings you need in the countertops for sinks or stovetops and have them precut before you order them. Be sure the measurements are totally accurate.
Lay down a piece of plywood cut about 1 inch smaller than the final countertop on all sides. The plywood should be large enough that the Corian countertop edge will hang over it perfectly. Secure the plywood to the cabinet’s base with the drill and screws spaced every 4 to 5 inches.
Lay the Corian countertops onto the base cabinets and position them. Have a helper lift the countertop to expose the base cabinets or plywood beneath. Run a thick line of epoxy on all the areas where the cabinets and countertop or plywood meet. Lower the countertop onto the epoxy.
Hot glue some clamping points to the top of countertop pieces that are next to each other and need to be glued together. Run a line of epoxy on the side of the countertops before you join them. Place clamps on the clamping points and tighten them. Allow the epoxy to dry completely for several hours.
Fill any exposed countertop ends with epoxy.
Remove the clamping points and sand the bonded epoxy flat with 100-grit sandpaper, followed by 150-grit sandpaper. Sand the whole countertop smooth with 220-grit sandpaper. Wipe down the countertops with a cloth.
Place silicon caulk on the backsplash and press it into the wall. Brace it in place with sticks of wood wedged against the underside of the top cabinets.