Fermi Problems — Definition & Examples

Finding the Loch Ness Monster

You are a highly accomplished engineer, mostly known for inventing and perfecting the Shamwow, a wonderful towel capable of somehow holding $237 \text{ cm}^3$ cups of water!

The Scottish government has approached you as they are on their wit's end trying to find the Loch Ness Monster. They have a wild idea: you will use your infinite production capabilities to use surplus Shamwows to soak up all of the $7.5\text{ km}^3$ of water of Loch Ness to reveal Nessie once and for all.

Obviously, a person of your talents doesn't work for free, so you need to find how much you'll need to be paid for this job. Your going bulk rate for Shamwows is $4$ dollars/towel.