Calculate True Mass of Aluminum Using Archimedes' Principle | 4.2000 kg + ___ kg

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To calculate the true mass of aluminum using Archimedes' Principle, the apparent mass in air is given as 4.2000 kg. The buoyant force, which affects the apparent weight, can be determined using the formula for buoyant force: density times gravity times volume. To find the volume of the aluminum, the densities of aluminum and air need to be referenced. The final answer will express the true mass as 4.2000 kg plus or minus a calculated value based on the volume of air displaced. This approach effectively utilizes Archimedes' Principle to find the true mass in a vacuum.
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Homework Statement


Calculate the true mass (in vacuum) of a piece of aluminum whose apparent mass is 4.2000 kg when weighed in air. (Express your answer as 4.2000 kg plus a positive or negative number.)
(4.2000 + ________ ) kg



Homework Equations



Buoyant force = density x gravity x volume
d=m/v



The Attempt at a Solution



I'm guessing I have to find the amount of air displaced but I'm really not too sure on how to go about doing this
 
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Mass of the aluminum is given. Find the density of aluminum and air from Wikipedia. Using the relevant formula find the volume.
 

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