A volume equal to its own weight (Archimedes' Principle).
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Any object which, if submerged, would displace 2 times its own volume. The density of the object could be well above 2 gms/cm^3. If that were not the case, then ships made of metal would never float in water. which has a much lower density.
Objects that are less dense than the environment in which they are immersed will float, unless they are tethered.
The specific gravity of the water in the Great Salt Lake is much higher than that of the Horsetooth Reservoir. You displace the same volume in both lakes, but you displace more weight of water in the Great Salt Lake, so by Archimedes Principe you get more lift.
In order to float, the ship will displace its own weight in water (i.e. 100 million Newtons). So how much water is 100 million Newtons? weight = m*g, so m = weight/g = 1e8/9.8 = about 10.2 million kg So 10.2 million kg of water will be displaced. For pure water, with a mass of 1g/cm^3 (which is the same as 1000 kg/m^3), that means the ship displaces about 10,200 cubic meters of water. If you want to get really technical, if the ship is used in the ocean, the density of sea water is more like 1030 kg/m^3, so the ship would only displace about 9900 m^3 of sea water.
Anything heavier than water sinks; anything lighter than water floats. Or, another way to say it: anything with a higher density than water (water weighs about a gram per cubic centimeter), or a higher specific gravity than water, sinks. If the object weighs less than the weight of water that it displaces, then it floats.