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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.

Respuesta :

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 [tex]7.02\times 10^{20} L[/tex].

Explanation:

Surface area of the Pacific Ocean,A =[tex]1.8\times 10^8 km^2[/tex]

[tex]1 km^2=10^6 m^2[/tex]

[tex]A=1.8\times 10^8\times 10^6 m^2=1.8\times 10^{14} m^2[/tex]

The depth of the Pacific Ocean , h = [tex]3.9\times 10^3 m[/tex]

[tex]Volume = Area\times depth[/tex]

[tex]V=A \times h[/tex]

[tex]=1.8\times 10^{14} m^2\times 3.9\times 10^3 m=7.02\times 10^{17} m^3[/tex]

[tex]1 m^3=1000 dm^3[/tex]

[tex]V=7.02\times 10^{17}\times 1000 dm^3=7.02\times 10^{20} dm^3[/tex]

[tex]dm^3 =1 L[/tex]

[tex]V=7.02\times 10^{20} L[/tex]

The volume of the Pacific Ocean is [tex]7.02\times 10^{20} L[/tex].