Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 1 - Introduction: Matter and Measurement - Exercises - Page 37: 1.49


Volume is $1.52\times10^4\ cm^3$ Uncertainty is $0.4\times10^3\ cm^3$

Work Step by Step

The volume is $(24.8cm)^3=15,253cm^3=1.52\times10^4cm^3$ The uncertainty of the edge length is 0.2 cm, so actual edge length is between 24.6cm and 25cm. The smallest possible volume is $(24.6cm)^3=14,887cm^3=1.49\times10^4cm^3$ The largest possible volume is $(25cm)^3=15,625cm^3=1.56\times10^4cm^3$ The difference between the boundary volumes is $15,625cm^3-14,887cm^3=738cm^3$ The uncertainty is half the boundary range. $738cm^3\div2=369cm^3=0.4\times10^3cm^3$
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