Will my grow tent be too hot?

I have a grow tent that is 5 foot tall 3 feet wide and 3 feet deep i want to use my 250 watt hps in there i am going to buy a extraction kit i was wondering if a 100mm fan would be enough? Can sum1 suggest what size extractor fan i need the 100 mm extracts 175 m3 per hour its a rvk fan i want to use passive intake aswell i will only be growing one plant ,well i've grown it allready i want to flower it now,i have lst the plant so it short but really bushy sum1 help please

don't post the same question in multiple places on the forum...you'll get answers from your first post