What is the equation for buoyant force?

The buoyant force is defined by Archimedes' principle, which states that an object submerged in a fluid experiences an upward force equal to the weight of the fluid that it displaces. This is why the correct equation can be understood as relating the buoyant force to the weight of the displaced fluid.

The weight of the displaced fluid can be further analyzed through the formula, where the buoyant force is indeed also equal to the density of the fluid multiplied by the volume of the fluid displaced and the acceleration due to gravity. This shows that buoyant force is ultimately dependent on these factors, feeding into the broader understanding of fluid statics and the principles governing floating and submerged bodies.

Additionally, while related, the density and volume parameters outlined in the other choices offer a more generalized view of the relationship but do not directly state the equivalency to the weight of the fluid displaced. Thus, while the weight of the object and the weight of the fluid displaced are equivalent in discussing the equilibrium condition for a floating object, the more direct and accurate description of buoyant force relates specifically to the weight of the displaced fluid.