Question

a crate of medicine with a density of 2,400 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 of the ratios. then write your answer rounded to the nearest hundredth on the right side of the equation. ratios: $\frac{2.2 lb}{1 kg}$, $\frac{1 kg}{2.2 lb}$, $\frac{35.3 ft^{3}}{1 m^{3}}$, $\frac{1 m^{3}}{35.3 ft^{3}}$. $\frac{2400 kg}{1 m^{3}}\timessquare\timessquare=square\frac{lb}{ft^{3}}$

Explanation:

Step1: Convert kilograms to pounds

We use the ratio $\frac{2.2\ lb}{1\ kg}$ to convert the mass - unit from kilograms to pounds. So, $\frac{2400\ kg}{1\ m^{3}}\times\frac{2.2\ lb}{1\ kg}$.

Step2: Convert cubic - meters to cubic - feet

We use the ratio $\frac{35.3\ ft^{3}}{1\ m^{3}}$ to convert the volume - unit from cubic meters to cubic feet. After the first conversion, we have $\frac{2400\ kg}{1\ m^{3}}\times\frac{2.2\ lb}{1\ kg}\times\frac{1\ m^{3}}{35.3\ ft^{3}}$.
Now, we calculate the value:
\[

$$\begin{align*} \frac{2400\times2.2}{35.3}&=\frac{5280}{35.3}\\ &\approx149.575 \end{align*}$$

\]
Rounding to the nearest hundredth, we get $149.58$.

Answer:

$\frac{2400\ kg}{1\ m^{3}}\times\frac{2.2\ lb}{1\ kg}\times\frac{1\ m^{3}}{35.3\ ft^{3}} = 149.58\frac{lb}{ft^{3}}$