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The Blue Giant of the Orient is the largest faceted sapphire in the world, with a mass of
486.52 carats ( 5
carats =
1
g
1). Given that sapphire has a density of
3.98 g/cm , what is the volume of this sapphire in cubic centimeters ?

Please show the work as well
Thank you

Respuesta :

pstnonsonjoku

The volume of this sapphire in cubic centimeters is 24.4 cm^3

We have the following information;

Mass of the Blue Giant = 486.52 carats

Density of the blue giant = 3.98 g/cm3

Volume of the blue giant = ?

Since the density is given in g/cm3, we must convert the mass to grams.

We have the conversion factor; 5 carats = 1 g

So;

If 5 carats make 1g

486.52 carats make 486.52 carats × 1g/ 5 carats

= 97.30 g

Since;

Density = mass/volume

Volume = Mass/Density

Volume = 97.30 g/3.98 g/cm3

Volume =  24.4 cm^3

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