Centered left to right, sure. Centered front to back, no.
The problem here (other than being in a square, which is just a really bad place to start) is that the theoretical *best* and "flattest" part of the room is less than one foot from the theoretical *worst* part of the room.
I was in a 10x11 space for a short time (a time I don't ever, EVER want to repeat) while my current space was under construction -- The "sweet spot" in the room was six inches away from a null point of 40dB. Forty decibels at a particular frequency was gone six inches away from where it was built-up around 6dB. And that was just one frequency. The peaks and nulls in that room were staggering.
I put 18 broadband traps in that space and it helped - quite a bit - although it was still in the "unacceptable" category by a longshot.
Your "sweet spot" is (again, theoretically) 3.04' from the wall. Granted, you can put your head 3.04 feet from the rear wall also (which is probably a good idea unless you want to have your monitors so close to your ears that they may as well be headphones). The *worst* spot in the room would be at 4'. If you're in a cube (8x8x8) your problems are magnified once again.
Foam is going to be your worst enemy in that space -- Actually, it's pretty much your worst enemy in *any* space that doesn't have the low end under control. And the amount of trapping you're going to need in that space isn't going to leave much room for -- you, for that matter.
THAT SAID, I'm talking about making a space that's actually acoustically viable -- A lot of people don't care that much and that's fine -- But keep in mind the two "rules" of recording:
(1) No matter your gear, years of experience and critical listening skills, you will only ever hear anything as accurately and consistently as your monitoring chain can reproduce it and therefore allow you to hear it.
(2) No matter how accurate and consistent your monitoring chain, it will only ever be as accurate and consistent as the space allows it to be.
I'd start reading up at RealTraps and GIKAcoustics -- Although I don't think they quite 'drive home' how bad a square space (especially a really small square space) can really be, there's a lot of info on both sites that will certainly help, assuming you follow the guidelines.
If it helps at all, what I wound up doing in my case was stacking panels (mostly GIK 244's at the time) floor-to-ceiling in all four corners, one in each high-side corner, 2 vertical front ('outside'), 2 vertical rear ('inside') and one each horizontal side first reflection point.
And again -- All that did was turn a complete acoustical nightmare into less of an acoustical nightmare. It made the peaks and nulls "less peaky and nullish" and widened the sweet spot quite a bit. I still had to keep my head nearly perfectly still to make adjustments, but it made the sweet spot "more learnable" (for lack of a better term).
Still, the longest and hardest few months of my career... An exceptionally decent monitoring chain and freakishly careful placement made it almost tolerable - but it was the coffee that really made it happen.