Math/chemistry question

Question

What is the volume of a 4.11 carat diamond? In cm3. 

Answer 1

A carat is a measurement of mass so finding the volume (V) is dependent on the density (ρ).

1 carat = 0.2 gm
4.11 carat * 0.2 gm = 0.822 gm

V = m/ρ

A web search indicates naturally occurring diamonds have a density range of 3.15–3.53 gm/cm³.
If diamond density is provided in your text book, I would suggest using that.
Using ρ = 3.51 gm/cm³ as the density,

V = 0.822gm/3.51 gm/cm³ = 0.234cm³