Yup. That's the essence of the g->mol->mol->g sequence.
I guess I wasn't totally clear. I threw in the density/molarity information not because it was needed in this problem, but because it can be used to enter the general g->mol->mol->g sequence. OP was looking for an intuitive way to approach soichiometry problems, and that's my offering. If you can get into the g->mol->mol-g sequence, you're on your way.