What factors among the following determine whether an object will float or sink in a liquid?

• An object's ability to float or sink is dependent upon the relative density of each other. 
•  The object will sink if its density is greater than the density of the liquid. On the other hand, if an object's density is less than that of the liquid, it will float above it.

Therefore, the floating or sinking of an object depends on the difference in density of the object and the liquid.