8 Physics and Measurement*P1.24(a)Length of Mammoth Cave =FHGIKJ==×=×348160915605 60 105 60 1057mikmmikmmcm....(b)Height of Ribbon Falls =FHGIKJ=×161201491 m 0 4914 91 104ft.304 8 mftkmcm.(c)Height of Denali =FHGIKJ×=×20 3200166 19 106 19 1035ft.304 8 mft.19 kmmcm.(d)Depth of King’s Canyon =FHGIKJ×=×82000122 50 102 50 10ft.304 8 mft.50 kmmcm.P1.25From Table 1.5, the density of lead is 113 104. kgm3×, so we should expect our calculated value tobe close to this number. This density value tells us that lead is about 11 times denser than water,which agrees with our experience that lead sinks.Density is defined as mass per volume, in ρ=mV. We must convert to SI units in the calculation.=FHGIKJFHGIKJ=×23 94210110001001114 10334..gcmkggcmmkgm3At one step in the calculation, we note that one million cubic centimeters make one cubic meter. Ourresult is indeed close to the expected value. Since the last reported significant digit is not certain, thedifference in the two values is probably due to measurement uncertainty and should not be a
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International System of Units, Kilogram, Orders of magnitude, Metre, km IJ