What are two similarities between density and weight?

Density is mass or weight divided by volume so they are connected in that sense also when the mass or weight goes up the density goes up

Density" is defined as "the physical property of matter that deals with the mass of an object per volume in itself." On the other hand, weight is also a physical property of matter that concerns the mass of an object

Density has the components of mass and volume, while weight is concerned with mass and gravity.