What happens to the density of a material if you have a larger piece of it?
1. The density will be greater because the mass increases but the volume remains the same.
2. The density will be smaller because the mass remains the same as the volume increases
3. The density will remain the same because mass and volume will remain the same
4. The density will remain the same because mass and volume will both increase in the same way
1. The density will be greater because the mass increases but the volume remains the same.
1. The density will be greater because the mass increases but the volume remains the same.
To determine what happens to the density of a material if you have a larger piece of it, you need to understand the concept of density. Density is defined as the mass of a substance divided by its volume. It is essentially a measure of how much mass is packed into a given volume.
To calculate the density of a material, you need to know both its mass and its volume. So, let's analyze the options given to see what effect a larger piece of material would have on density:
1. The density will be greater because the mass increases but the volume remains the same.
This option suggests that if the volume remains the same and the mass increases, then the density would be greater. However, this is incorrect because if the volume remains the same and the mass increases, it would result in a higher density, not a larger piece.
2. The density will be smaller because the mass remains the same as the volume increases.
According to this option, if the mass remains the same and the volume increases, then the density would be smaller. This is the correct answer. When the volume of a material increases while the mass remains constant, the density decreases. The larger volume spreads out the same mass, resulting in a lower density.
3. The density will remain the same because mass and volume will remain the same.
This option assumes that both the mass and volume remain the same when the material becomes larger. However, if the material becomes larger, either the mass or the volume (or both) must change. Therefore, this option is not valid.
4. The density will remain the same because mass and volume will both increase in the same way.
According to this option, if both the mass and volume increase in the same proportion, then the density would remain the same. This is also incorrect. If both the mass and volume increase, but not in the same proportion, the density will change. The density only remains the same if the mass and volume change in such a way that their ratio stays constant.
So, the correct answer is option 2: The density will be smaller because the mass remains the same as the volume increases.