Also there are a lot of rules for booleaning things in maya. One thing I see that you are doing that is a no no is you are trying to bore a hole into the middle of an open face. Look at Dave's example. There should always be an edge going from the outer edge a face to the object you are booleaning. Search the site for boolean and you;ll find a list of all the rules and I think I even have a couple video's floating around that demonstrates a couple of the most common issues that bite new users on their bottoms. Well I did not do the boolean when the cubes were cut, I will look into the rules though. But then again lol, why can't I select the circular face there? It's like.. Still separated even after the Boolean (it was like that when the cubes weren't cut too. Just so you know)