The value of density in the required units is [tex]\rm \rho = 2.4\times 10^{-5} lb/in^{3}[/tex]
Density, mass of a unit volume of a material substance. The formula for density is
d = M/V
where d is density, M is mass, and V is volume.
Density is commonly expressed in units of grams per cubic centimetre.
In the given question
Density given is 0.668 g/L
1 lb = 454grams.
1L = 1000 cm³
1 inch = 2.54 cm
Density in pounds per cubic inch =
[tex]\rm \rho = 0.668 \times \dfrac{(1 \;lb)(1 grams)}{454\; grams}\times \dfrac{(1 L)(2.54)^{3}(1 cm^{3})}{1000cm^{3}(1\;L)(1 in^{3})}[/tex]
[tex]\rm \rho = 2.4\times 10^{-5} lb/in^{3}[/tex]
Therefore the value of density in the required units is [tex]\rm \rho = 2.4\times 10^{-5} lb/in^{3}[/tex].
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