Conversion between in$^2$oz$^{-1}$ and cm$^2$g$^{-1}$?

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I want to convert $~16~$in$^2$oz$^{-1}$ into cm$^2$ and grams. This is my attempt:

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I just want to check that my answer is correct, as my book says it should be $~3.686~$cm$^2$g$^{-1}$, but I got $~3.641~$.

I’m pretty sure this difference is due to a rounding error in the book, but just want to make sure, thanks!

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16 in^2/ounce in cm^2/gram

says 3.64118 so the rounding error is probably in the book. You should write the publisher or the author.