Depends on the size, but I've never seen a box anchor as big as we needed for our 16x72 houseboat. We had two Delta Fast-Set plow style anchors. The bigger one was in the 55 lb range, and would hold it no problem in a rocky bottom lake. We saw 35 mph winds one time, and it never slipped once it was set. Our lake is pretty deep in some areas, but 300' of 3/4" anchor rope and a few feet of chain was always enough.
The bad part was that we didn't have a windlass, so my back and shoulders were considerably stronger after owning our houseboat for a couple years.