To find the volume of the object thrown into the ocean, use the formula for volume based on mass and density, which results in a volume of approximately 1.74 m³. According to Archimedes' principle, the volume of water displaced by the object is equal to the volume of the object itself. The object will float if its density is less than that of seawater, which it is not in this case, as its density is 681.0 kg/m³ compared to seawater's 1024 kg/m³. Therefore, the volume that sticks out of the water can be calculated by determining the buoyant force and the submerged volume. The discussion emphasizes the importance of showing calculations and understanding the principles involved in solving such problems.