Don't carbonated drinks need to be pressurized? wouldn't a square design get bloated? ie, you don't see square pressure vessels very often, I think for good reason.
You would need a LOT of plastic.
There is a reason almost all drink containers are square, except for pressurized ones which are universally round.
It's pretty much impossible for it to be actually square. It would need to bulge either in or out.
Take a look at the bottom of a pressurized bottle, and notice it's not square either.