Question

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?

Answer 1

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?