Based off of the advertising/marketing materials, the GPU might go in with a mere 5mm's to spare but in retrospect, you shouldn't buy that case, unless you want to cook the innards in your new investment. The case looks like it has little to no intake ventilation, even if they do, they're non existent when you compare the case to something like those made by Fractal-Design.
What other cases do you have access to? What is your budget on case purchase? Where are you located?