Diamonds are measured in carats (1.0 carat=0.200g). The density of diamond is 3.51 g/cm^3. What is the VOLUME of a 5.0 carat diamond?

3 answers

You're given two things and asked to find another. You're given density, mass, and asked to find the volume.
The formula for density is:

D= Mass
------
Volume

Rewrite this formula for Volume and you get:
V= M
---
D

A 5.0 carat diamond will have a mass of:
5(0.200 g)= 1 g. You are already given the density of 3.51, so all that's left to do is plug in.

V= 1g/3.51 g.cm^3= .285 cm^3
What is measured in carats
a quarter has a mass of 5.63g. what is its mass in kilograms? milligrams?
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