The density of the larger broken piece from the original piece would remain 1.500 g/cm3
Density = mass/volume
The ratio of mass to the volume of a substance is constant.
Thus, for the long glass stirring rod, a reduction in the length means a reduction in its volume. Also, there would be a commensurate reduction in the mass of the glass rod.
At the end of the day, the ratio of mass/volume of the glass rod, be it the larger or the smaller piece, remains the same.
Thus, the density would remain 1.500 g/cm3.
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