Sea Levels Rising Fast on U.S. East Coast - NationalGeographic

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10. If you fill the tub to the brim, and climb in,

The water that spills over will weigh the same as you. An easy way to see Archimedes Principle; put an ice cube in a glass measuring cup. Add water until the ice is floating, and note the level. Wait for the ice to melt and become room temperature. The level will be the same, because the combined weight of icecube and water is the same as the later weight of all water. It has to... you haven't added or removed water or ice - simply allowed the ice to melt.

Melting pack ice will have an effect on changing climate patterns, but none on sea level. The threat to sea level rise is melting glaciers and continental ice. Greenland, to some extent, but mostly Antarctic continental ice, which is as much as two miles deep. Also, as the ice melts, the continent will rise, which will displace additional water causing further sea level rise.