I believe there is some kind of height weight chart that WP appointees get... you can use this as a guide, not sure if it's any different or not though
There are height/weight requirements. When I received my LOA, one of the conditions that needed to be met was resolving my "height/weight" infraction. I had to put on 10 pounds before I could receive my appointment.
Does anyone know, what is the medical exam they give you at West Point on R-day? Is it just like a regular checkup?