# 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?

May 24, 2017

We divide $\text{mass}$ by $\text{density}$ to give over $4 \cdot c {m}^{-} 3$; that is a big sparkler.......

#### Explanation:

$\rho , \text{density"="Mass"/"Volume}$, and thus typically has units of $g \cdot m {L}^{-} 1 , g \cdot c {m}^{-} 3 ,$ etc.

Here we have $\rho = 3.52 \cdot g \cdot m {L}^{-} 1$, and the mass, $15.1 \cdot g$, and so we take the quotient...............

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

$\cong 4 \cdot \frac{1}{m {L}^{-} 1} = 4 \cdot \frac{1}{\frac{1}{m L}} = 4 \cdot m L \ldots \ldots \ldots \ldots$

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?