Question

A large diamond with a mass of 712.04 grams was recently discovered in a mine. If the density of the diamond is 3.51 grams over centimeters cubed, what is the volume? Round your answer to the nearest hundredth.
202.86 cm^3
507.02 cm^3
717.06 cm^3
3574.44 cm^3

Answer 1

The volume of the diamond will be equal to V=202.56 cm³

What is volume?

The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space.

The Mass is given as= 712.04 grams

The density is given as =3.51 gram per cm cube

So we know that the density is given by the formula:

$\rm Density =\dfrac{M}{V}\\\\\\V=\dfrac{M}{Density}\\\\\\ V=\dfrac{712.04}{3.51}$

V=202.56 cm³

Hence the volume of the diamond will be equal to $V=202.86\ cm^3$

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