Question

Diamond has a density of 3.52 g/ml. what is the volume in cubic centimeters of a diamond with a mass of 15.1 g? 4.3 cm3 4.29 cm3

Answer 1

Density of 3.52g/ml means for each milliliter of space there are 3.52 grams of diamond.

To set the stage:
$\frac{3.52}{1} = \frac{15.1}{x}$
Set the denominators equal:
$\frac{3.52x}{x} = \frac{15.1}{x}$
Remove the denominators:
$3.52x = 15.1$
Isolate x by dividing both sides by 3.52:
$x = 4.289772 {cm}^{3}$

Answer 2

Answer : The volume of a diamond is, $4.29cm^3$

Explanation : Given,

Density of a diamond = 3.52 g/ml

Mass of a diamond = 15.1 g

Formula used :

$Density=\frac{Mass}{Volume}$

Now put all the given values in this formula, we get the volume of a diamond.

$3.52g/ml=\frac{15.1g}{Volume}$

$Volume=4.29ml=4.29cm^3$

Conversion used : $1ml=1cm^3$

Therefore, the volume of a diamond is, $4.29cm^3$