Fluid mechanics density problem

[velocityay]

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=$$\rho$$vg (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

 

[rl.bhat]

Find the area of the base.
Volume of the column = Area* height.
Density = mass /volume.