Why are engineering departments so large in U.S. universities? For a math or physics department at a good university in the United States, there might be 20 or so full-time faculty members, while in the engineering department, I've noticed that there can be more than 100 faculty members -- even over 200 -- and many laboratories.

Why are engineering departments so large, in comparison to, say, math or physics departments?

Is there more funding for engineering research?  If so, does most of this funding come from the government?

I'm thinking of schools with math, physics, and engineering programs that are typically ranked Top 50 or higher (more like Top 30 or higher).
Engineering, like business, is an extremely popular major because it has good employment prospects. It's also well-funded relative to more academic disciplines, because it's easier to get funding from both private and public sources for "useful" research.