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?
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^3
One meter is 3.28084 feet hence 1 m^3 is (3.28084)^3 feet
Thus 3.73 10^8 km^3 is 3.73*35.315 10^17 = 132 cubic feet
The total amount of fresh water on earth is \(3.73 *10^{8} km^3\)
Hence the volume of water \(v= 3.73*10^{8} km^{3}\)
we are asked to convert this into cubic metre and cubic feet.
we know that 1 km = 1000 m.
\(1 km^3 = [10^3 m]^3\)
\(1 km^3 = 10^{9} m^{3}\)
we have been given \(v = 3.73 *10^{8} km^3\)
\(v = 3.73 *10^{8} *10^{9} m^{3}\)
\(v = 3.73*10^{17} m^{3}\) [ANS]
Now we have to convert it into cubic feet
we know that one metre = 3.28083 feet
\(1 m^{3} =[3.28083feet]^{3}\)
\(1 m^{3} =35.3143472 feet^{3}\)
Hence \(v =3.73*10^{17} m^{3}\)
\(= 3.73*10^{17} *35.3143472 feet^{3}\)
⇒ \(v = 131.7225*10^{17} feet^{3}\) [ANS]