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The 3.5mm stereo cable, 30 inches in length, is used to connect to devices that do not have Bluetooth support. I have found this useful for connecting to a DVD player while watching movies on a projector.
I love that the Big Jambox has six control buttons on top so you can control your media without ever touching your mobile phone. This is the only unit of the three that supports this capability.
There are buttons for power and pairing, along with ports for stereo connection, microUSB, and DC charging. These are found on the right end of the Big Jambox.