Question

what happens to the density of a material if you have a larger piece of it? (1 point)
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 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.

Explanation:

Density is calculated as \(
ho=\frac{m}{V} \), where \(
ho \) is density, \( m \) is mass, and \( V \) is volume. For a given material, the mass \( m \) and volume \( V \) are directly proportional. If you have a larger piece of the material, both the mass and the volume increase proportionally. For example, if you double the amount of the material (mass \( m \) becomes \( 2m \)), the volume \( V \) also becomes \( 2V \). Then \(
ho=\frac{2m}{2V}=\frac{m}{V} \), so the density remains the same.

Answer:

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