When it comes to math, "change equally" is about as ambiguous and meaningless
as you can get.
If mass and volume are both multiplied or divided by the same factor, then
density doesn't change.
If they change equally in some other innovative way, then it does.
Chat with our AI personalities
When mass increases and volume stays constant, the density increases. When volume increases and mass stays constant the density decreases. When they both change, then the density will depend on the rate of change of mass and the rate of change of volume.
(mass) Density is mass/volume, so increasing the volume with mass held constant will decrease the density.
To change density there are three ways. You can change the shape, mass or volume of the object
Density is how tightly packed the matter in a substance is. Therefore, how much space it takes up (volume) will not affect this.
It is unchanged. The density is the mass divided by the volume, and as both of these numbers are halved the density does not change.