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Here are two alternative explanations.

1) Because each piece is made up of the same material as the original piece. Density is a characteristic property of a material.

2) Because density is defined as mass / volume, and if you divide something into two equal pieces, you will get 1/2 the mass for each piece, but also 1/2 the volume.

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Q: Why does the density stay the same when you cut something in half?
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