# If an object has a density of 10g/cm^3 and is cut into two equal parts, what is the density of each piece? Why?

The density of each piece remains at $10 \cdot g \cdot c {m}^{-} 3$.
$\text{Density}$ is an $\text{intensive property}$, a property that depends on the nature of the material, unlike the $\text{extensive properties}$ such as mass and volume, which are determined by the extent of the material.
We have $\rho = 10 \cdot g \cdot c {m}^{-} 3$; if we halve the volume, reasonably we halve the mass, and $\rho$ remains constant.