# Converting

• Jan 14th 2010, 01:29 PM
uniquereason81
Converting
The annual production of sodium hydroxide in the U.S. in 1994 was 25.83 billion pounds.How many grams of sodium hydroxide were produced in that year?The density of sodium hydroxide is 2.130 g/cm3.How many cubic kilometers were produced?

I know how to get the first part which is easy for 1 pound is equal to 453.59 grams. But for the second part I don't understand how you are suppose to convert 2.130 g/cm^3 to km. Can anyone please help me out on this one. Thank you and have a wonderful day
• Jan 15th 2010, 12:00 AM
Fresnel
Don't worry
1) We should get how many $\displaystyle cm^{3}$.
$\displaystyle \frac {258.3 \times 10^{8} \times 453.59} {2.130} cm^{3} \approx 5.501 \times 10^{12} cm^{3}$
2) We change it into $\displaystyle km^{3}$
Since $\displaystyle 1cm=10^{-5}km$, so $\displaystyle (1cm)^{3}=(10^{-5}km)^{3}$, that is $\displaystyle 1cm^{3}=10^{-15}km^{3}$. Finally, we have the final answer: $\displaystyle 5.501 \times 10^{-3} km^{3}$.