Question #e2e23

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Answer 1 · 2017-09-01T23:28:15

$17.1 cm$ $"17.1 cm"$

Your tool of choice here will be the conversion factor

$color(blue)(ul(color(black)("1 in = 2.54 cm")))$

![http://ygraph.com/chart/1559]( useruploads.socratic.org )

In your case, you want to convert the number of inches to centimeters, so set up the conversion factor as

$"what you need"/"what you have" = "2.54 cm"/"1 in"$

This means that you have

$6.75 color(red)(cancel(color(black)("in"))) * "2.54 cm"/(1color(red)(cancel(color(black)("in")))) = color(darkgreen)(ul(color(black)("17.1 cm")))$

The answer is rounded to three sig figs, the number of sig figs you have for the number of inches.