How does the density of a 100-kg iron block compare with the density of an iron filing?

Answer 1

The density of iron is 7,874 kg/m3 or 7.874 g/cm3.

The density of iron filing is somewhat lower depending upon how fine the filings are, but I guess more than 4000 kg/m3 or 4.0 g/cm3.

The SI standard of density is measured in kg/m3.

The density of a material is defined as its mass per unit volume.

The density of iron does not change with the size of the sample.

A bucket full of iron filings will have a lower density than the block because there will be air between the individual filings. The density of a deep pile of filings will be greater than a thin pile because the weight of the filings above compacts the filings below by pushing out some of the air. However, the density of each individual piece will still be the same as for the whole block.

Answer 2

If they are both iron (Fe) then the density is the same. Density is mass AND volume.
If you have a block of iron - or anything else - and you cut it into pieces the density remains the same. The mass will change as will the volume. The density is mass per unit volume, that remains the same.

It works this way.
Pick a size (volume), we will say a cubic meter of something. It has a weight (mass) of one kilogram.
Cut it in half.
It now weighs half a kilogram, but is also has a half of the volume. The density is the same, the mass is different as is the volume. It weighs half a kilogram and is half a cubic meter.

Answer 3

Yes. Density is the measure of the substance, quite apart from size or mass. It therefore remains constant in whatever the size or mass of the iron block.

Answer 4

its the same.