To convert the density of whole milk from grams per cubic centimeter (g/cm³) to pounds per gallon per cubic centimeter (lb/gal cm³), we’ll follow these steps:
- Understand the Units: We need to convert g/cm³ to lb/gal. The conversions we’ll use are:
- 1 pound (lb) = 453.592 grams (g)
- 1 gallon = 3.78541 liters = 3,785.41 cm³
- Conversion Factor: The density can initially be converted from g/cm³ to lb/cm³ using the conversion from grams to pounds:
1 g/cm³ = 1 / 453.592 lb/cm³
- Calculate Density in lb/cm³:
Density in lb/cm³ = 1.034 g/cm³ × (1 lb / 453.592 g) = 0.00228 lb/cm³
- Convert to lb/gal/cm³: Now we convert from lb/cm³ to lb/gal by multiplying by the number of cm³ in a gallon:
Density in lb/gal/cm³ = 0.00228 lb/cm³ × 3,785.41 cm³/gal = 8.610 lb/gal/cm³
Final Answer: The density of whole milk is approximately 8.610 lb/gal cm³.