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Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?

User Azhrei
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1 Answer

2 votes

Answer:x = 0.028571 cm3

Explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

the mass is to the volume is as the mass is to the volume

3.5g /(1 cm3) = 0,1g / (x cm3)

Cross-multiply to get:

3.5x = 0.1

x = 0.1 / 3.5 (divide both sides by 3.5)

x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)

User Ruppesh Nalwaya
by
6.5k points
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