They should. I don't even have a case yet, i'm still deciding that.
Word of advice: don't get a stuffty case. I got this
case (Corsair 100R), and yeah, it kinda is a nice case, but if you just pay 20 dollars more, you could something way better. It's not gonna make your computer get a forgetton of more fps, but its gonna pretty much future proof your case. I'm already thinking about throwing away my Corsair 100R for something better; that's about 50 dollars down the drain when I could've just bought a better case when I built my PC.
also get a rx 480 instead