Answer : The correct statement is:
The density of each piece is the same as that of the original block.
Explanation :
Intensive property : It is defined as a property of substance which does not change as the amount of substance changes.
Examples: Temperature, refractive index, density, hardness, etc.
According to question, if Ana has a block made of pure gold and she cuts this block into two equal pieces then the density of each piece is the same as that of the original block because density is an intensive property that does not changes until and unless material is changed.
That means density remains same as that of the original piece.
Hence, the correct statement is the density of each piece is the same as that of the original block.