What is the mass of a diamond in carats?

Question

Diamonds are measures in carats, and 1 carat = 0.200 g. The density of diamond is 3.51 g/cubic centimeters.

The volume of a diamond is found to be 2.8 mL. What is the mass of a diamond in carats?

Answer 1

1 ml = 1 cubic centimeter

2.8 ml = 2.8 cubic centimeters

density = mass / volume

3.51 g/mL = (mass)/(2.8mL)

(mass, grams) = 9.83 grams

9.83 grams * 1carat/.200 grams = 49.15 carats

Answer 2

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