Yes, it will. Just tore out my counter top, and when I put it down 12
years ago there was no way to screw into the back corner above the
diswasher, so I used liquid nails. About two hours later I realized I
was in trouble if I ever had to replace the dishwasher. Just pulled it
out in a major remodel and there was damage where the adhesive was.
Just put screws in the corners and gravity will do most of the work.