Diamond has a density of 3.52 g/mL. What is the volume in cubic centimeters of a diamond with a mass of 15.1 g?

1 Answer
May 24, 2017

Answer:

We divide #"mass"# by #"density"# to give over #4*cm^-3#; that is a big sparkler.......

Explanation:

#rho,"density"="Mass"/"Volume"#, and thus typically has units of #g*mL^-1, g*cm^-3,# etc.

Here we have #rho=3.52*g*mL^-1#, and the mass, #15.1*g#, and so we take the quotient...............

#"Volume"="Mass"/rho=(15.1*g)/(rho_"diamond")=(15.1*g)/(3.52*g*mL^-1)#

#~=4*1/(mL^-1)=4*1/(1/(mL))=4*mL............#

So how much do you think the diamond is worth? And if the stone fell out of your ring in the bath, would the diamond float?