How to Make My Xbox 360 Slim Stop Freezing?

I bought a used Xbox 360 Slim about a month and a half ago. It has never had a hard drive, just system storage. I also bought Minecraft Xbox 360 Edition for it and it started freezing. It kept wanting me to do a system update. If the console freezes I would have to redo the update. It started freezing at the dashboard. I even took out Minecraft and it would freeze. I put the console in front of the swamp cooler and that make it last longer. It will last about 30 seconds longer. I decided to delete some game data and clear system cache. None of that worked. I put the Xbox in front of the swap cooler overnight and that didn't change a thing. I tried other games and they all froze after about twenty minutes. I tried formatting the system and that didn't help. It still kept freezing. I downloaded the Minecraft Xbox 360 Edition Trial and it still froze. I haven't opened up my console yet because I don't want to unless I know what's wrong with it. I don't think it's a clog because the fan runs well. It even runs when it's frozen. I put it in an open space so it can get plenty of air. I also tried it with my console verticle and horizontal and it doesn't make a difference. I've probably done the system update about 20 times. I would really appreciate some help.

Step 1 is get a hard drive and format your console before you install it
your system storage must be badly corrupted and not able to read and write data properly so you need to replace it with a proper hard drive and bypass using it

When my 360 started freezing, it was because it was dying. Eventually it just stopped working at all.

You might be able to get Microsoft to fix it (for a price) but otherwise you might consider buying a new Xbox 360 -- one WITH a hard drive this time. (it makes things a lot easier.)

Elevate it on soda cans, open the system and see if there are any lose wires of sorts. To do that, youll need a torcs screwdriver set. Take out the hard drive and blow on it, put it back in. Your hard drive may not be all the way in the xbox by chance, push it in until it clicks slightly. Check you power brick; if it makes a loud buzzing noise, it doesn't process electricity as it should. Get a new one, they're not very expensive. Check you HDMI/AVI chord depending on what type of tv you have. Check for shorts and a burnt looking head. If worse comes to worse, you may need to sell for scraps and get a new one. Or take it into a place like game stop or best buy to get it fixed professionally.