5) there are several different measurements used for density. if you have a substance with a density of 2.0 g/cm³, what would the density be in pounds per cubic inch? (1 kg is equal to 2.2 pounds and 1 inch is equal to 2.54 cm)

Question

Accepted Answer

# Explanation:
## Step1: Convert grams to pounds
We know that 1 kg = 1000 g and 1 kg = 2.2 pounds. So 1 g=$\frac{2.2}{1000}$ pounds.
## Step2: Convert cubic - centimeters to cubic - inches
Since 1 inch = 2.54 cm, then 1 $cm=\frac{1}{2.54}$ inches and 1 $cm^{3}=(\frac{1}{2.54})^{3}$ $in^{3}$.
## Step3: Calculate the new density
The original density is 2.0 g/$cm^{3}$. Substitute the conversion factors:
$$
\begin{align*}
\text{Density}&=2.0\times\frac{\frac{2.2}{1000}\text{ pounds}}{(\frac{1}{2.54})^{3}\text{ in}^{3}}\
&=2.0\times\frac{2.2}{1000}\times(2.54)^{3}\text{ pounds/in}^{3}\
&=2.0\times\frac{2.2}{1000}\times16.387064\text{ pounds/in}^{3}\
&=\frac{2.0\times2.2\times16.387064}{1000}\text{ pounds/in}^{3}\
&=\frac{72.1030816}{1000}\text{ pounds/in}^{3}\
& = 0.072\text{ pounds/in}^{3}
\end{align*}
$$
# Answer:
0.072 pounds per cubic inch

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QUESTION IMAGE

Question

Explanation:

Step1: Convert grams to pounds

Step2: Convert cubic - centimeters to cubic - inches

Step3: Calculate the new density

Answer: