I think it should fit, in mm the 212 EVO is a 159mm in height which comes to exactly 6.3 inches, which is from the base to tip of the heatsink, any standard ATX case should fit it.
Mine is 7" wide and when I measure from the CPU there's actually 9mm more so how should I fit it or is there any coolers that are shorter than evo which costs about $30 but equilly good.
I think it should fit, in mm the 212 EVO is a 159mm in height which comes to exactly 6.3 inches, which is from the base to tip of the heatsink, any standard ATX case should fit it.