There is plenty of time to work out. West Point has a great exercise/lifting culture and a lot of different places to exercise. Arvin Gym has several weight rooms that we can use along with pools, Hayes Gym (IOCT), and a solid cardio room.
There is more than enough time in the day to do whatever your heart desires. You just need to make priorities and understand that sometimes you're going to have to sacrifice a workout or another activity for schoolwork. Some cadets prioritize fitness over academics, which is feasible to an extent. You will be able to figure out a routine that works for you once you get here.