We are giving
a medicine with density
![2200(kg)/(m^3)](https://img.qammunity.org/2023/formulas/mathematics/college/vrb2or1rawimfuwcsuinjzn06z2kqejf0h.png)
we are request to find th density in pounds/ft^3
![(lb)/(ft^3)](https://img.qammunity.org/2023/formulas/mathematics/college/z2alzgafkklh1eeupymy70ds22a8ol7qn6.png)
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
![(kg)/(m^3)*(lb)/(kg)*(m^3)/(ft^3)=(lb)/(ft^3)](https://img.qammunity.org/2023/formulas/mathematics/college/i8w92ms25c86pgekj1316h7mebegetxxwq.png)
then
the 2200 density of medicine
![2200(kg)/(m^3)*(2.2lb)/(1kg)*(1m^3)/(35.3ft^3)](https://img.qammunity.org/2023/formulas/mathematics/college/fnyw80v3pm5296s7d5980en21xgn2sfmit.png)
![2200(kg)/(m^3)*(2.2lb)/(1kg)*(1m^3)/(35.3ft^3)=137.11(lb)/(ft^3)](https://img.qammunity.org/2023/formulas/mathematics/college/lntsm3e5rhgedrgtk73yjfo3ilr3ljfjte.png)
then
2200kg/m^3 = 137.11 lb/ft^3