Math CentralQuandaries & Queries


Question from Chris, a student:

In my first math problem, I found out that 100 cows will produce 21900 ft3 of waste over a year. However I don't know how to do the second part. How many acres of land would a farmer need to spread the waste on if he wanted it to be more that 6 inches deep? Thank you.

Hi Chris,

Suppose the waste will cover $x$ square feet at a depth of 6 inches. Since 6 inches is half a foot you know that $\large \frac12 \normalsize x = 21900$ cubic feet. Solve for $x.$ One acre is 43560 square feet so how many acres are covered?


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