# If 12 ounces of a liquid has a mass of 317 g, what is the density of the liquid in grams per cubic centimeter?

Jan 31, 2016

The density is $\text{0.89 g/cm"^3}$.

#### Explanation:

$\text{1 fluid oz=29.5735 mL}$

$\text{1 mL=1cm"^3}$

To convert fluid ounces (fl oz) to cubic centimeters $\left(\text{cm"^3}\right)$, multiply fl oz times $29.5735 \text{mL/fl oz}$.

$12 \cancel{\text{fl oz"xx(29.5735"mL")/(1cancel"fl oz")="354.882 mL}}$

Since $\text{1 mL=1 cm"^3}$, we know that $\text{354.882 mL=354.882 cm"^3}$

Density is the mass per unit volume of a substance. The density equation is:

"density"=("mass")/("volume")

Substitute known values into the density equation and solve.

$\text{density"=(317"g")/(354.882"cm"^3)="0.89 g/cm"^3}$ (rounded to two significant figures due to $\text{12 fl oz}$)