2x4x7 grow tent, cfm's for exhaust only?

Hello to everyone,

I have a new 2x4x7 tent with a 400 watt air-cooled hood. Can I get by using a 6" fan for cooling down the tent and light? Since this is only 56 cubic feet I figured I could use a passive intake and get a inline fan with the right cfm's to make sure the room is exchanging air and heat. Defintley concerned about fan noise. Are the vortex fans a good choice? Thanks............
 
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