if one solid has a bigger mass than the other solid, does that mean it's more dense

Question

This is for my chemistry homework

Answer 1

Not always.  Density is the ratio of mass to volume.  You have to consider the volume as well as the mass.

 

Example:

 

A solid with a small mass m and a volume of V, and another solid with a bigger mass 2m with a volume 3V.  The solid of small mass has a density of m/V, while the solid with bigger mass has a density of (2m)/(3V) < m/V, i.e. a lower density than the less massive solid.  

 

However, if the 2 solids have the same volume, then the one with higher mass must also have higher density.

Answer 2

No, density is mass per volume ratio.