[Right Wing Assault]

If the area of earth's surface is 5.1 x 10¹⁴ m², then the area of the oceans is about 3.6 x 10¹⁴ m² as he shows. If you have something with uniform thickness, the volume of it will be the area time the thickness. So, you multiply the area of the Earth's water surface, 3.6 x 10¹⁴ m², by the depth of the water predicted, 6 meters. This gives the volume of water needed: 6 x 10²⁴m³.

So, a similar volume of ice (actually about 10% more) must be melted to obtain that volume of water. He goes on to show how much heat is needed to melt that ice.

[JasonC]

Except 3.6 x 10^14 * 6 is 2.16 * 10^15, not 6x10^24. The line has an extraneous figure from somewhere, probably mass of the earth, that is not involved in the remainder of the calculation. The 6x10^24 figure just has nothing to do with it.

[Right Wing Assault]

Oops, yes, I missed the incorrect exponent, too. It's 6 x 10¹⁴m³.

[TigersEye]

So, a similar volume of ice (actually about 10% more) must be melted to obtain that volume of water. He goes on to show how much heat is needed to melt that ice.

In order to make the case doesn't the amount of ice on earth need to be established? Is there that much ice?