Respuesta :

We are giving

a medicine with density

[tex]2200\frac{kg}{m^3}[/tex]

we are request to find th density in pounds/ft^3

[tex]\frac{lb}{ft^3}[/tex]

the trick here is that the units we don't want to use get's canceled

Open itsi way to the new units

as following

[tex]\frac{kg}{m^3}*\frac{lb}{kg}*\frac{m^3}{ft^3}=\frac{lb}{ft^3}[/tex]

then

the 2200 density of medicine

[tex]2200\frac{kg}{m^3}*\frac{2.2lb}{1kg}*\frac{1m^3}{35.3ft^3}[/tex][tex]2200\frac{kg}{m^3}*\frac{2.2lb}{1kg}*\frac{1m^3}{35.3ft^3}=137.11\frac{lb}{ft^3}[/tex]

then

2200kg/m^3 = 137.11 lb/ft^3

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