Will this card fit inside my case?



With these Stock Cases you cant really "optimize" it, I would recommend getting a new case, you can pick a new one up for under $50 :)
 


only problem with these cases are that the motherboard is flip to cpu on bottom of case and psu up top so gpu fans and psu fans are fighting each.
 
If your PC is in a nice open place, this isn't recommend, but as a short term fix you can leave the side panel off. But yes, in the long run it would be smart to either get a new case, more fans, or both preferably.