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Expert: - 1/26/2010


Question
Lake Mead is an artificial lake formed by the hoover dam, covering parts of both Arizona and Nevada. It has a surface area of 640 km squared. The area has been experiencing a drought since 2005, and the water level has dropped 16.8 meters. How many cubic kilometers of water have disappeared during this drought?

Answer
Assuming the banks are pretty close to vertical, that wold be 16.8 m * 640 km².
Now the answer is 10,752, but the unites are km²*m, so we need to convert m to km.
To do this, divided by 1,000, givien 10.752 km³.

Given we have two places accuracy on the 640 km, and that the banks probably slope in,
I would just say the volume was 10 km³.  That would account for only somewhere around
a 4% slope away from vertical.

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