Archimedes' principle states that the buoyant force on an object that is (partially) submerged in water is equal to the weight of the water displaced by the object. Let W be the weight of the object. Let F = W - V * c1 * g, where V is the volume of the object and c1 is the density of water. If F > 0, then the object floats with a fraction of its volume submerged. If F < 0, then the object sinks. Consider a cubical box with edges measuring L. The box is completely submerged in water, with the water level at the top surface of the box. Find the force required to fully submerge the box. The buoyant force on the cubical box when completely submerged is equal to the weight of the water displaced.