if you get cut a type of metal in two pieces do they both have the same density
yes.
If you think it should change because the volume changes, it is true V changes but so does mass.
density = grams/cc
cc gets smaller, grams gets smaller, density stays same because g and cc change in the same ratio.
thanks
If you cut a piece of metal into two smaller pieces, the density of the metal does not change. Density is an intrinsic property of a material that remains same regardless of its size or shape.
To understand why this is the case, let's define density. Density is the amount of mass per unit volume of a substance. It is calculated by dividing the mass of an object by its volume.
When you cut a metal into two pieces, the total mass of the metal remains the same. The mass doesn't magically create or disappear during the cutting process. Similarly, the volume of each piece is reduced proportionally to their size, but the ratio between the mass and volume remains constant.
Since density is the mass divided by the volume, and both the mass and volume are divided equally between the two pieces after cutting, the density of each piece will still be the same as the original piece.