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QUESTION

Convert 500 ##"ft"^3## to ##"m"^3## What is the correct answer? (a) 152 ##"m"^3## (b) 23.9 ##"m"^3## (c) 1.44 ##"m"^3## (d) 14.2 ##"m"^3## (e) none of the above

The good answer is d) 14.2 m³.

The common conversion factor that everybody knows is "1 m = 39.37 in".

You can use this to convert feet to inches and then to metres.

##"500 ft"^3 × ("12 in"/"1 ft")^3 × ("1 m"/"39.37 in")^3 = "14.2 m"^3##

Notice that we have to cube the conversion factors to make the units "ft³" and "in³" cancel.

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