Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 2 - Measurement and Problem Solving - Exercises - Problems - Page 52: 93


$954$ million acres converts to $1,490,625 miles^{2}$

Work Step by Step

To convert from acres to square feet, we multiply the area by 43560 because we are told that $1 acre= 43560 ft^{2}$. $954,000,000 acres×\frac{43560 ft^{2} }{1 acre}=4.156\times10^{13} ft^{2}$. Now we must convert the value to ft by taking the square root so $ft = \sqrt {4.156\times10^{13} }ft^{2} = 6446412.95606 ft$. Then to convert to miles, we divide by 5280 because 1 mile = 5280 ft so $ 6446412.95606 ft \times\frac{1 mi}{5280 ft} = 1220.91154471 mi$. Lastly to get square miles, we must simply raise our answer in miles to the power 2; $1220.91154471 ^{2} = 1,490,625 miles^{2}$
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