It's impossible for two objects with different masses and volumes to have the same density. Here's why:

* Density is a measure of how much mass is packed into a given volume. It's calculated by dividing mass by volume:

* Density = Mass / Volume

* If two objects have different masses and volumes, their density will be different. Let's illustrate with an example:

* Object A: Mass = 10 grams, Volume = 5 cm³

* Object B: Mass = 20 grams, Volume = 10 cm³

* Density of Object A: 10 grams / 5 cm³ = 2 grams/cm³

* Density of Object B: 20 grams / 10 cm³ = 2 grams/cm³

In this example, even though Object B is twice as massive and twice as large as Object A, they have the same density. This is because the ratio of mass to volume is the same for both objects.

In summary: If you change the mass or volume of an object, you will inevitably change its density unless you change both mass and volume proportionally.