Mr. Ripplinger - you sly devil! You took a 4x4 piece of lumber, chopped it up into different sizes, and had your students find the density of each one.
Some students thought the bigger pieces would have more density because of their size. Other students thought the smaller ones would be more compact.
But very few could foresee them all having the SAME DENSITY! MWAHAHAHA!!!
It's all made of the same material - all the matter will be spaced the same in the small pieces and the big pieces.