Will my 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

I run 2 250 watt HPS lights in my GL60 tent which is 2x2x5 feet. I use a HTG 4" fan and carbon filter and I have no heat issues.

yeah that should be fine...as long as the ambient temperatures outside the tent are not above 75F you should be fine

Yep 250 arn't to bad at all with the right exaust, sounds like it will be fine.

im using a 400w in my tent (5x3x3) with this shitty little fan and my temps don't get above 80. of course i do leave my windows partially open... but anyway that 250w shouldn't heat it up too bad.