Question #6108a

1 Answer
Aug 16, 2017

Answer:

#"mass" = 0.769# #"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:

#"density" = "mass"/"volume"#

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

#ul("mass" = ("density")("volume")#

We know:

  • #"density" = 3.26# #"g/cm"^3#

  • #"volume" = 0.326# #"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.