Final answer:
The volume of a 12.0 oz can of soda is 354.6 cubic centimeters. This is calculated by converting ounces to quarts, then to liters, and finally to cubic centimeters, using the provided conversion factors.
Step-by-step explanation:
To express the volume of a can of soda that has 12.0 oz as cubic centimeters (cm3), we need to convert ounces to quarts and then to liters, using the given relationships, before converting to cubic centimeters. Given that 32 oz equals 1 quart and 1 liter is approximately equal to 1.057 quarts, we can determine the volume in liters and subsequently its equivalent in cubic centimeters, as 1 liter is equivalent to 1000 cubic centimeters.
First, convert ounces to quarts:
12.0 oz × (1 qt / 32 oz) = 0.375 qt
Now, convert quarts to liters:
0.375 qt × (1 L / 1.057 qt) = 0.3546 L
Finally, convert liters to cubic centimeters:
0.3546 L × (1000 cm3 / 1 L) = 354.6 cm3
The volume of a 12.0 oz can of soda is 354.6 cubic centimeters.