Calculate Density of Solid Object Floating in Water

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To calculate the density of a solid object floating in water, it is essential to understand that the object displaces a volume of water equal to the submerged portion of its volume. Since 54% of the object's volume is submerged, it must have a density less than that of water, which is 1 g/cm³. The density of the object can be determined using the principle of buoyancy, where the weight of the displaced water equals the weight of the object. Without knowing the mass or exact volume, the density can be inferred to be approximately 0.74 g/cm³, as it must be less than water's density. Understanding these principles clarifies the relationship between buoyancy and density for floating objects.
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Homework Statement


A solid object floats with 54% of its volume beneath the surface of the water. What is the object’s density? Give answer in g/cm3.


Homework Equations


Density = mass/ volume


The Attempt at a Solution



I know that the density must be more than one, because the object is floating somewhat, but I don't know how to calculate what the density is, exactly. If anyone has a better formula for this problem, I'd much appreciate it.
 
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Hint: what is the density of water? And what does it mean when something is floating on water?
 
If the density of water is one, and its floating, than it must be less than one?

How do I figure out exactly what it is, though? I don't have the mass or the exact density or the volume, so my formula is useless...
 

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