why doesn't density depend on size? If you cut a block in half, and put it in water, wouldn't the density change because I think half a block wouldn't sink all the way in water?

4 answers

Because density is the mass of a single unit, not of the entire object.
thanks, but can you explain my second question?
Density = Mass/Volume

Cutting it in half will reduce both mass and volume by half. If the whole block sinks, the half block will also sink, because both will be heavier than the amount of water they are displacing.
what would make it sink halfway down?