Jade has a density of 3.3 g/cm3. If a piece of jade is placed into a graduated cylinder as shown below, the volume increases from 50.0 mL to 60.5 mL. What is the mass of the piece of jade?

The volume of a sample is its unique property, which can be defined as the mass of the material per unit volume of that material. Now as per Archimedes law if a material is submerge in a liquid the increased volume of the liquid will be equivalent to the volume of the material.

Here due to addition of the Jade the volume of the liquid increases from 50 to 60.5 mL. Thus the change of the volume is (60.5-50) = 10.5 mL, which will be equivalent to the volume of the Jade. Thus the volume of the Jade is 10.5 mL and its density 3.3 g/cm³. Now as 1 mL = 1 cm³ thus the density can be rewritten as 3.3 g/mL. So 1 mL of the Jade has the mass 3.3 g, thus 10.5 mL of the Jade will have (10.5*3.3) = 34.65 g of mass.

The mass of the piece of Jade is 34.65 g.