The density (d) of a substance is an intensive property that is defined as the ratio of its mass (m) to its volume (v).

density = mass/volume d=m/V

Considering that mass and volume are both extensive properties, explain why their ratio, desity, is intensive.

Answer with explanation:

Extensive properties depend on the total matter while intensive properties do not, mass and volume are extensive properties because a bigger mass and a bigger volume are indicative of a more massive object, on the other hand, a more colorful or denser object is not an indication of a more massive object. Density, in particular, is a ratio so it will always be the same regardless of the size of the object, therefore, it is not directly related with the total amount of mass; to better understand this concept imagine you have a bag of sand and you add more sand to the bag, you are increasing the mass and the volume but because both increases the ration m/V do not.

Density is an intensive property

Explanation:

The intensive properties don't depend on mass or size, if you have a liter of water, this litter have a density equal 1000 kg/m^3. If zo have 250 liters of water, the density is 1000 kg/m^3 too.

The density does not change with the addition or substraction of matter.

I hope I have been clear.