a piece of silver cut in half,density stays the same.Why?

because the mass and volume lowered. It was not squished to make density increase.

Density= m/v

Density is the mass per unit volume OR

d = m/v.
When you cut a piece of silver in half, the mass decreases by half and the volume decreases by half so the RATIO (m/v) stays exactly the same.

The density of a material is defined as its mass per unit volume. When a piece of silver is cut in half, the total mass of silver remains the same because cutting it does not change the number of silver atoms present. Since the mass stays the same and the volume is also reduced by half, the ratio of mass to volume, which is the density, remains unchanged.

To understand this concept, we need to consider that when an object is cut, its overall shape and size may change, but the amount of material (in this case, silver) remains constant. So, when you cut a piece of silver in half, each half will have half the volume but also half the mass compared to the original piece. As a result, the ratio of the mass to the volume, or the density, will remain the same.

In simple terms, cutting an object does not change the density of the material because density is an intrinsic property that depends on the mass and volume of the material, not on its shape or size.