Final answer:
The volume of the body is the same as the volume of water it displaces, which is 1000 cm³ or 1 liter.
Step-by-step explanation:
To find the volume of the body that displaces 1000 cm³ of water when fully immersed, we simply use the fact that the volume of the water displaced is equal to the volume of the body submerged. Therefore, the volume of the body is 1000 cm³ (or 1 liter, as 1 cm³ of water is equivalent to 1 mL of water).
This relationship is based on the principle of displacement, where the volume of fluid displaced by an object is equal to the volume of the object itself if the object is fully submerged. This principle forms a foundation for calculating density and is a critical concept in fluid mechanics, a branch of physics.
Additionally, the fact that 1 g/cm³ equals 1000 kg/m³ is a reference point that helps relate the mass of water displaced to its volume when using the metric system.