The density of silicon is 2.33 g/cm 3. What is the volume of a piece of silicon that has a mass of 83.8 g?

Density is found by dividing mass over volume:

d=M/V. In this problem, we know the density, and the mass. Solve the general equation for volume, then enter the values from the problem and evaluate:

d=m/v [multiply v to both sides, then divide d from both sides]

v=m/d

v=83.8g / (2.33g/cm³)

v=35.965 cm³

v=36.0 cm³ to three significant figures (since your given information only has 3 sig figs)