The total amount of fresh water on earth is estimated to be 3.73 x 10^8 km^3. What is this volume in cubic meters? in cubic feet?

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Accepted Answer

The total amount of fresh water on earth is [tex]3.73 *10^{8} km^3[/tex]  Hence the volume of water [tex]v= 3.73*10^{8} km^{3}[/tex]we are asked to convert this into cubic metre and cubic feet.we know that 1 km = 1000 m.                      [tex]1 km^3 = [10^3 m]^3[/tex]                      [tex]1 km^3 = 10^{9} m^{3}[/tex]        we have been given  [tex]v = 3.73 *10^{8} km^3[/tex]                                             [tex]v = 3.73 *10^{8} *10^{9} m^{3}[/tex]                                                     [tex]v = 3.73*10^{17} m^{3}[/tex]  [ANS]Now we have to  convert it into cubic feetwe know that one metre =  3.28083 feet                    [tex]1 m^{3} =[3.28083feet]^{3}[/tex]                     [tex]1 m^{3} =35.3143472 feet^{3}[/tex]          Hence  [tex]v =3.73*10^{17} m^{3}[/tex]                        [tex]= 3.73*10^{17} *35.3143472 feet^{3}[/tex]                   ⇒  [tex]v = 131.7225*10^{17} feet^{3}[/tex]  [ANS]

Suggested Answer

One km^3 is 1,000,000,000 m^3=10^9 m^3 hence 3.73 10^8 km^3 is 3.73 10^17 m^3One meter is 3.28084 feet hence 1 m^3 is (3.28084)^3 feetThus 3.73 10^8 km^3 is 3.73*35.315 10^17 = 132 cubic feet

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