What would the volume of an object be?

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To displace 2 gallons of water, the volume of the object must also be 2 gallons, equivalent to approximately 0.007570 cubic meters. However, determining the dimensions of the object is complex, as it depends on the object's shape and density. The original question is criticized for being fundamentally flawed, as it does not specify the object's density or structure. Without this information, calculating specific dimensions is not feasible. Ultimately, while the volume is clear, the lack of detail makes the question unsolvable in practical terms.
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Homework Statement



If you wanted to displace 2 gallons of water, what would the volume of the object need to be?

From there, what would the dimensions of an item need to be to match the required volume?

Homework Equations





The Attempt at a Solution

 
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The question itself leaves much to think about as the displacement of water requires something of equal weight, not of equal volume. Therefore, the question itself has some fundamental flaws.
 
the answer is 2 gallons
 
Yes the "gallon" is a unit of volume. The dimensions of the object would depend on the shape of your object. If you really can't figure this one out yourself maybe you should reconsider going into the field of physics. 2 gallons is equivalent to 0.007570 cubic meters. From there it should not be very difficult to get your dimensions.
 
That is not exactly correct stongio. The question, as I've said, has some fundamental flaws. The question asks for the dimensions of "an item" of unknown density and structure. As such, it cannot really be solved. The answer '2 gallons' simply does not do the question justice.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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