to unlock the hope cage you have to open the place that is next to it on the left from the computer thingy, then go in that place and you will go inside the desk and take a gear thing, but here is what you have to do, dont go to the robot go near the key's place you will see some lines near it or you could say near the desk and you will put that gear thing there and jump on it and go on the desk and take the key, also there and a secret after you done all of that, your gonna take the gear and give it to the robot and then you will hope points