Interpretation : The density of each piece and the density of the original gold bar are to be compared.
Concept Introduction : The connectivity between mass and volume is density. The formula of density is given as:

Answer to Problem 33LC
No change is observed when a piece of the substance is cut.
Explanation of Solution
Given information :
The mass of gold is 68 g.
The gold is cut into 3 pieces.
The connectivity between mass and volume is density. The formula of density is given as:
The density only depends on the mass and volume of the substance or object.
When the gold is cut into 3 pieces, it means the mass and volume of the gold are also reduced.
But there is no change in mass to volume ratio. So, the density does not change on cutting the gold into pieces.
When the density of each piece and the density of the original gold bar are compared, there is no change in densities.
Chapter 3 Solutions
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