Does solid fat float in liquid fat? Ice floats in its liquid state, water, because it is less dense, and I know fat also floats in water BUT will a piece of fat dropped into a pot of melted fat also float? or will it sink and what is it about its molecular structure that allows this? 

I've searched google for about three hours and all I can find are articles on fat floating in water, so any help is greatly appreciated!
I thought this question was a good idea for a home experiment to do with my 8th grade son.

Into a block of dry ice, we carved a conical mold hole with the pointed end of scissors and poured canola oil into the hole:



We covered this with a second block of dry ice for about a minute and extracted the frozen oil with forceps:



Then we dropped the frozen oil into a jar of liquid canola oil:



And it sank.