I have an FX-6300, Radeon HD 7870 XT, 8GB G.Skill Ares, Asus M5A97 EVO R2.0. I wanted to play Crysis 3 on everything maxed on a 1366x768 resolution, will that be possible around 35-40 FPS?
Yes, at that resolution you should be able to play at max or near max in single player. Crysis 3 is a very demanding game if you try for all the settings at their max.
Follow the master's advice: http://www.tweakguides.com/Crysis3_1.html
When playing crysis, Your settings shouldn't bother you because LOW settings on crysis 3 are comparable to high settings in other games. And you should be able to play in 720p no doubt...
sure as hell you can max it out in that rig of yours, i've managed to get similar scores on high settings with an AMD A-8, 4 Gigs RAM and Radeon HD7670 at 1366x768