Neutrinos and Their Relationships to Matter

People talk about neutrinos as tiny because they can go through matter and I think people have the impression that neutrinos sort of like wiggle their way through the gaps in stuff. Well its size there again isn't helping it because technically it's just as small as an electron but if you shot an electron at a wall of lead the electron would interact with all the other particles there. So when it hits the wall it ignores the electrons and ignores the quarks it doesn't interact with them using electromagnetism at all. Now electrons and corks are pretty tiny as well so at a certain point of tinieness it's hard for me to even conceive of the tinien