Question

A crate of medicine with a density of 2,350 kilograms per cubic meter will be shipped from Israel to the U.S. What is the crates density in pounds per cubic foot? First fill in the two blanks on the left side of the equation using two ratios. Then write answer to the nearest hundredth

Answer 1

The conversion of kilograms per cubic meter of the given density to pounds per cubic foot would be = 146.7Ib/ft³.

How to convert kilograms per cubic meter to pounds per cubic foot?

To convert kilograms per cubic meter to pounds per cubic foot, the following steps should be taken as follows:

If 1 kg/m³ = 0.062428 Ib/ft³

2,350 kg/m³ = X

make X the subject of formula;

X = 0.062428×2,350

= 146.7Ib/ft³.

Answer 2

To convert both units we need to find the ratio between the weight units and the volume units. We want to do the following product

`(kg)/(m^3)*(lb)/(kg)*(m^3)/(ft^3)=(lb)/(ft^3)`

To find the corresponding ratios, we're going to use the following conversions

`\begin{gathered} 1kg=2.2lb \\ 1m^3=35.3ft^3 \end{gathered}`

Then, rewritting those conversions as the desired ratios, we have

`\begin{gathered} 1kg=2.2lb\implies(2.2lb)/(1kg)=1 \\ 1m^3=35.3ft^3\implies(1m^3)/(35.3ft^3)=1 \end{gathered}`

If we substitute those ratios on the first equation using the given densi,y value we're going to have our answer.

`(2350kg)/(1m^3)*(2.2lb)/(1kg)*(1m^3)/(35.3ft^3)=146.46(lb)/(ft^3)`