Question

Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. To find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. What is this volume in cubic meters?

Answer 1

`V = 1.4* 10^(18)\,m^(3)`,
`m = 1.435* 10^(21)\,kg`

Step-by-step explanation:

The volume of all oceans is:

`V = (1.4* 10^(9)\,km^(3))\cdot ((1* 10^(9)\,m^(3))/(1\,km^(3)) )`

`V = 1.4* 10^(18)\,m^(3)`

Ocean water has a density of
`1025\,(kg)/(m^(3))`, the mass of all oceans is:

`m = (1025\,(kg)/(m^(3)) )\cdot (1.4* 10^(18)\,m^(3))`

`m = 1.435* 10^(21)\,kg`

Answer 2

Step-by-step explanation:

Volume of ocean = 1.4×10^9 km3

To m^3,

1.4 × 10^9 km^3 × (1000 m)^3/(1 km)^3

= 1.4 × 10^18 m^3.

Density of water = 1000 kg/m3

Mass = density × volume

= 1000 × 1.4 × 10^18

= 1.4 × 10^21 kg.