Wait, @aaronhma, you're actually right-- if we have a rectangular prism with sides $$4,4,9$$, then we actually do have only $$2$$ square faces! And the remaining $$4 \text{ x } 9$$ faces are all the same, so that's $$4$$ rectangular faces with the same ratio of length to width.

That's a really good catch you made there! It never specified which of the $$4$$ faces had the same ratios, so making it $$4 \leq x \leq9$$ is actually reasonable.

BUT, since the problem says that $$4$$ is the smallEST dimension, and that $$9$$ is the longEST, it doesn't really make sense for the dimensions to be $$4,4,9$$, because then there is no smallEST dimension, just two smaller lengths. So that's another way to think about it using the wording in the problem 🙂