As JaneD said in a comment I have also never heard of a cube without a fact table. The fact table(s) should include the numbers you want to play with/analyse/report on, your measures. The dimension will be used to slice and dice these measures in order to see f.ex number of sold items (a fact) in Europe (dimension) in 2012 (dimension).
If you only have regions and time, as in my example, you won't be able to do much with it. And if you're trying to learn SSAS you really should try to find/create a fact table so you can explore more of SSAS.