Fluid mechanics density problem

AI Thread Summary
The discussion revolves around a fluid mechanics problem involving the density of iron and the dimensions of a square-based column. The density of iron is given as 7.8x10^3 kg/m3, and the column has a mass of 1,000 kg and a side length of 40 cm. The participant calculates the volume of the column as 0.064 m3 but expresses uncertainty about the next steps in solving the problem. Key equations mentioned include density as mass divided by volume and the relationship between volume, area, and height. The discussion highlights the need to find the area of the base to proceed with the calculation.
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Homework Statement


If the density of iron is 7.8x103kg/m3, what is the highest possible height of a square based column of sides=40cm and mass of 1,000kg?

Homework Equations


\rho=m/v
Fg=\rhovg (I think?)

The Attempt at a Solution


I took the length of the side of the square and used it to find a volume which I got to be .064m3, I'm really not sure where to go from here or if I understand what the question is asking
 
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Find the area of the base.
Volume of the column = Area* height.
Density = mass /volume.
 

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