Of course it makes sense. Archimedes wasn't daft.
Just done some back of the fag packet calculations after getting some numbers from wiki and wondering what would happen if the ice covering Antarctica melted.
Assume that the numbers are about right - Antarctica is about 5.4million square miles, and is covered with ice, mostly over land. To go into metric, about 14 million square kilomtres.
Assume that the average ice depth is 100 metres (purely for the simplicity of doing sums)
The diameter of the Earth is about 12.8 thousand Kilometers, giving a surface area of a bit over 500million square kilometers using the formula A=4Πr2
If 4/5 of this is water, thats 400million square kilometers of wet area.
If all that land based ice melts, the sea level surface has to move up by 3 metres.
How many of us live less than 3 metres above sea level, or, more importantly, depend on services that are within 3 metres of sea level? Thinking in terms of power stations getting washed out by unexpected water, docks becoming underwater oddities, coastal roads vanishing etc.
Of course, if the average depth that gets melted off is greater, so is the sea level rise.