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 - Additional Exercises - Page 38: 1.79b

Answer

16 bags

Work Step by Step

The total number of cubic feet of peat moss needed is: $15.0ft*20.0ft*3.0in*\frac{1ft}{12in}=15.0ft*20.0ft*.25ft=75ft^3$ The total number of cubic feet in a bag of peat moss is: $14in*\frac{1ft}{12in}*20in*\frac{1ft}{12in}*30in*\frac{1ft}{12in}=\frac{7}{6}ft*\frac{5}{3}ft*\frac{5}{2}ft=\frac{175}{36}ft^3$ Dividing $75ft^3/(\frac{175}{36}ft^3)=75*36/175\approx15.4$ However you have to have a whole number of bags (You have to round up for this problem because if you round down you won't have enough peat moss!), and therefore you need 16 bags of peat moss.
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