Question

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.

Answer 1

The volume of the Pacific Ocean is
`7.02* 10^(20) L`.

Step-by-step explanation:

Surface area of the Pacific Ocean,A =
`1.8* 10^8 km^2`

`1 km^2=10^6 m^2`

`A=1.8* 10^8* 10^6 m^2=1.8* 10^(14) m^2`

The depth of the Pacific Ocean , h =
`3.9* 10^3 m`

`Volume = Area* depth`

`V=A * h`

`=1.8* 10^(14) m^2* 3.9* 10^3 m=7.02* 10^(17) m^3`

`1 m^3=1000 dm^3`

`V=7.02* 10^(17)* 1000 dm^3=7.02* 10^(20) dm^3`

`dm^3 =1 L`

`V=7.02* 10^(20) L`

The volume of the Pacific Ocean is
`7.02* 10^(20) L`.

Answer 2

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