is my 600 watt system going to be cool

I have a sun hut that is 3ft by 4ft by 7ft with an air cooled reflector(exhaust ports) housing a 600 watt HPS.
My exhaust system is running between 180-200 cfm.

Can a keep the space at 70 to 75 degrees by placing the system in a 65 degree environment?

I would think so bro, just try it and you will find out that is for sure. good luck