Here's why:
* Buoyant force is the upward force exerted on an object submerged in a fluid. It's directly related to the weight of the fluid displaced by the object.
* Volume is the amount of space an object occupies.
* Density is mass per unit volume.
Since the objects have the same volume, they displace the same amount of fluid. Therefore, the weight of the displaced fluid (and hence the buoyant force) is the same for both objects, regardless of their densities.
Example:
Imagine a block of wood and a block of metal, both with the same volume. If you submerge them in water, they will displace the same amount of water. This means they will experience the same buoyant force, even though the metal block is much denser than the wood block.
Note: While the buoyant force is the same, the objects will behave differently because of their different densities:
* The wood block will float because its density is less than that of water.
* The metal block will sink because its density is greater than that of water.
This difference in behavior is due to the relative magnitudes of the buoyant force and the object's weight, which is determined by its density.
