Math CentralQuandaries & Queries


Question from Mary:

50 cubic yards of dirt is allowed. 16 feet of width and 1 foot of depth. How far can can you cover in length? in feet, yards or miles?

Thank you.

Hi Mary,

First off, you need all of your information in the same units: 1 cubic yard is 27 cubic feet so the volume of dirt is 27 × 50 cubic feet = 1350 cubic feet. I'm not sure what type of shape this is for but I'll assume

Volume = length × width × depth
1350 ft3 = length × 16 ft × 1 ft, and hence
length = 1350/16 ft
For the other answers you will need to convert the units from feet to yards and miles.


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