Adding 3/4" height to kitchen cabinets for slab granite countertop installation?

I have already removed all counters for my update of our countertops. It is my understanding that we will not have any other backing as our slab is 3cm (1 & 1/4") thick and will be placed directly on top of our existing oak wood cabinets. Most all cabinets are level with one exception, the bar/eating (part of an "L" shape) area which has peninsula cabinets opening on both sides. These cabinets are 3/4" shorter than the rest. My question is: Should I just add by means of gluing and nailing a 3/4" strip above the edges of the cabinets where the counter will rest or is it not going to be solid enough for my template guys requirements?

Public Comments

1. granite is very heavy, i have done a lot on kitchens with this stone and you will need all of the cabinets the same height . if you add a 3/4 " stripe to the cabinets try to match the stain as best as you can . if you plan on gluing it you will have to sand the surface so the glue will stick , if you do not want to sand it use silicone caulk, it will stick to a slick surface . if you nail or screw oak you will have to predrill all of the holes as oak will split if it is old . good luck I'm sure you will love the new look .the cabinets will hold the weight just fine no support needed
2. Chotpeper is right on. You should be fine doing it the way he says.