I have no idea. On the one hand, the geometry of space suggests space itself is infinite. On the other hand, i find that slightly mind-boggling seeing as space itself began with the Big Bang along with energy. So i have a bit of a hard time imagining how something that began with a confined 3-dimensial volume and continued on expanding at extra-ordinary (yet not infinite) speeds can be infinite in volume.
Also, assuming space really is infinite, this would also mean energy is infinite. I also find this a bit confusing as seeing as when you look at a particular part of the universe, you wont find the amount of energy there to be infinite. Otherwise, the temperature would be infinite, and, well, the implications are something that's kind of unimaginable in physics. I don't really know, apparently, according to mathematics, there is such a thing as a bigger infinity than the next, i.e., 2 hypothetical universes can both have infinite energy yet one of them could have a higher energy density, implying that universe's energy is a bigger infinity than the other universe's infinity.
Personally, i find the image of a finite universe far more appealing, but as Lawrence Krauss would say, the universe doesn't give a damn about our feelings. So I'll hold as the truth whatever it is that scientists hold as the truth. At the moment, that's nothing.