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QUESTION

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

The is "0.89 g/cm"^3".

"1 fluid oz=29.5735 mL"

"1 mL=1cm"^3"

To convert fluid ounces (fl oz) to cubic centimeters ("cm"^3"), multiply fl oz times 29.5735"mL/fl oz".

12cancel"fl oz"xx(29.5735"mL")/(1cancel"fl oz")="354.882 mL"

Since "1 mL=1 cm"^3", we know that "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.

"density"=(317"g")/(354.882"cm"^3)="0.89 g/cm"^3" (rounded to two due to "12 fl oz")