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The surface area and depth of the Pacific Ocean are 1.8 X 10^8 km^2 and 3.9 X10^3 m respectively, Calculate the volume of the Pacific Ocean in liters.

Verified Answer :

meerkat18

The volume of Pacific Ocean is the product of its surface area (SA) and its depth (D). From the given,
    V = SA x D = (1.8 x 10^8 km²) x (3.9 x 10^3 m) x (1 km / 1000 m) =  702000000 km³
Convert this volume to liters through dimensional analysis,
     ( 702000000 km³) x (1000 m / 1 km)³ x (1000 L / 1 m³) = 7.02 x 10^20 L

Answer:

The volume of the Pacific Ocean is \(7.02\times 10^{20} L\).

Explanation:

Surface area of the Pacific Ocean,A =\(1.8\times 10^8 km^2\)

\(1 km^2=10^6 m^2\)

\(A=1.8\times 10^8\times 10^6 m^2=1.8\times 10^{14} m^2\)

The depth of the Pacific Ocean , h = \(3.9\times 10^3 m\)

\(Volume = Area\times depth\)

\(V=A \times h\)

\(=1.8\times 10^{14} m^2\times 3.9\times 10^3 m=7.02\times 10^{17} m^3\)

\(1 m^3=1000 dm^3\)

\(V=7.02\times 10^{17}\times 1000 dm^3=7.02\times 10^{20} dm^3\)

\(dm^3 =1 L\)

\(V=7.02\times 10^{20} L\)

The volume of the Pacific Ocean is \(7.02\times 10^{20} L\).

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