What happens to the density of an object if its mass remains constant but its volume increases?

When an object's mass remains constant but its volume increases, the overall density of the object will decrease. Density is defined as mass divided by volume (density = mass/volume).

In this scenario, since the mass is fixed and the volume is increasing, the calculation shows that the same amount of mass is being spread over a larger volume. This increase in volume results in a lower density because you are taking the same numerator (mass) and increasing the denominator (volume). Thus, as the volume grows larger while mass stays constant, the density proportionally decreases.

This principle is fundamental in understanding how physical properties of materials change in relation to their mass and volume.