Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 1 - Measurement - Problems - Page 10: 23a

Answer

One cubic meter of water has a mass of 1000 kg

Work Step by Step

We are given a density of 1.0 $g/cm^{3}$ and must then convert this to $kg/m^{3}$ $1cm^{3}=(0.01m)^{3}=0.000001m^{3}=10^{-6}m^{3}$ and $1g=0.001kg^{3}=10^{-3}kg$ Density is determined by dividing mass by its volume $1g/cm^{3}=(\frac{1g}{1cm^{3}})(\frac{10^{-3}kg}{1g})(\frac{1cm^{3}}{10^{-6}m^{3}})= 1000kg/m^{3}$ From this we can solve that one cubic meter of water has a mass of 1000 kg
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