zoology - Why is it that cats can jump so high for their size, compared with humans?

My cat is about 1' high at the shoulder, and I am a little over 6', but my cat can easily jump onto something as high as I am. That is 6x it's height. If a cat can do this, then Why can't I jump up onto my barn roof? That is a little less than 36' up. I have a hard time jumping onto even a 4' platform. Now if my cat had trouble jumping onto an 8" platform, I would think that pathetic. Do cats have muscles 20x stronger than humans, for their mass?
Is it just their skeleton providing leverage?