Final answer:
To convert 4.22 g/cm³ to lbs/ft³ using dimensional analysis, follow the steps of multiplying conversion factors to cancel out units and solve for the desired unit.
Step-by-step explanation:
To convert 4.22 g/cm³ to lbs/ft³ using dimensional analysis, we can use conversion factors to convert from one unit to another unit of the same parameter. Given that 12 in³ = 62.4 lb/ft³, we can set up the following conversion factors:
4.22 g/cm³ × 1 lb/(454 g) × (1 ft³/0.0283 m³)
By multiplying the conversion factors, we can cancel out the units and solve for the desired unit, which is lb/ft³. Simplifying the calculation gives us the answer in lb/ft³.