Would the density of a person be the same on the surface on the moon?

No, a person's density would not change on the surface of the Moon; density is a measure of mass per unit volume and remains constant regardless of location. However, a person's weight would decrease significantly on the Moon due to its lower gravitational pull. This means that while they would weigh much less, their overall density would remain the same as it is dependent on their body composition, not the gravitational environment.