What happens to the density of a material if you have a larger piece of it?(1 point) Responses The density will be greater because the mass increases but the volume remains the same. The density will be greater because the mass increases but the volume remains the same. The density will remain the same because mass and volume will remain the same. The density will remain the same because mass and volume will remain the same. The density will remain the same because mass and volume will both increase in the same way. The density will remain the same because mass and volume will both increase in the same way. The density will be smaller because the mass remains the same as the volume increases.

The density will remain the same because mass and volume will both increase in the same way.

The density will remain the same because mass and volume will both increase in the same way.

The correct answer is: The density will remain the same because mass and volume will both increase in the same way.

To understand why the density remains the same when a larger piece of material is considered, we need to understand what density is. Density is a measure of how much mass is contained within a certain volume.

Mathematically, density (ρ) is defined as the mass (m) divided by the volume (V) of an object:

ρ = m/V

In this case, we are considering a larger piece of material. This means that both the mass and the volume of the material will increase, but they will increase in the same proportion.

If the mass and volume increase by the same factor, the ratio of the mass to the volume, which is the density, will remain unchanged. For example, if the original piece of material has a mass of 2 kg and a volume of 4 cubic meters, and the larger piece has a mass of 4 kg and a volume of 8 cubic meters, the density will be the same:

Density of the original piece = 2 kg / 4 m^3 = 0.5 kg/m^3
Density of the larger piece = 4 kg / 8 m^3 = 0.5 kg/m^3

Therefore, when the mass and volume of a material increase in the same way, the density of the material remains the same.