According to Archimedes' principle, the buoyant force acting on a submerged or floating object is equal to the weight of the fluid displaced by the object. In other words, the amount of buoyant force is determined by the volume of the object that is submerged in the fluid.

Mathematically, Archimedes' principle can be expressed as:

$$F_b=\rho g V$$

where:

* \(F_b\) is the buoyant force acting on the object (measured in newtons)

* \(\rho\) is the density of the fluid (measured in kilograms per cubic meter)

* \(g\) is the acceleration due to gravity (approximately \(9.81\) m/s²)

* \(V\) is the volume of the object that is submerged in the fluid (measured in cubic meters)