Math CentralQuandaries & Queries


Question from Roberta:

I have a fall zone area of approx. 700 sq ft. that I have to cover with a 6in depth of mulch. How much mulch would I need to purchase?

Hi Roberta,

If you covered the area with mulch at a depth of 1 foot then the volume would be $700 \times 1 = 700$ cubic feet. But you are covering it at half that depth so the volume is $\large \frac12 \normalsize \times 700 = 350$ cubic feet.

There are 3 feet in a yard so there are $3 \times 3 \times 3 = 27$ cubic feet in a cubic yard. Hence if you need volume in cubic yards its

\[\frac{350}{27} = 13.0 \mbox{ cubic yards.}\]


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