Why is the US Treasury building on the back of the ten dollar bill?

Except for $1 and $2 bills, U.S. currency uses the theme of buildings for the design of the back side. The front of the bill depicts Alexander Hamilton who was the 1st Secretary of the Treasury, so it's a natural fit to choose the Treasury building for the opposite side.

It's similar to the way that the $5 bill has Lincoln on the front and the Lincoln Memorial on the back, or the $100 has Ben Franklin and Independence Hall.