# Question 6108a

Aug 16, 2017

$\text{mass} = 0.769$ $\text{g}$

#### Explanation:

We're asked to find the mass of the diamond, given its density and volume it occupies.

To do this, we can look at the density equation:

$\text{density" = "mass"/"volume}$

And since we're solving for the mass, let's rearrange this to solve for mass:

$\underline{\text{mass" = ("density")("volume}}$

We know:

• $\text{density} = 3.26$ ${\text{g/cm}}^{3}$

• $\text{volume} = 0.326$ ${\text{cm}}^{3}$

The mass is therefore

"mass" = (3.26color(white)(l)"g/"cancel("cm"^3))(0.236cancel("cm"^3)) = color(red)(ulbar(|stackrel(" ")(" "0.769color(white)(l)"g"" ")|)#

rounded to $3$ significant figures.