You would need to check if the game you want to play is on the original xbox compability list, which it is as i have checked for you.
You can play some original Xbox games on your Xbox 360 console if you have an official Xbox 360 Hard Drive.
someone else will have to confirm if you will be able to do it, as i think you also need to be connected to the internet to be able to play original xbox games.
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Heres some info about backwards compatible games
Being the Platinum version it may not work.Newer consoles come with the compatibilty patch already installed i believe.