How to determine the scientific buoyancy by using Archimedes theorem, f-float = G-F, or f-float = g? What are the conditions for the application of these formulas

How to determine the scientific buoyancy by using Archimedes theorem, f-float = G-F, or f-float = g? What are the conditions for the application of these formulas

Suppose there is a cube in the water,
F = ρ GH2 * s - ρ GH1 * s (immersed in water)
=ρgS*Δh
=ρ liquid GV discharge (general)
=G drainage
When an object is suspended or floating, f floating = g object = m object G