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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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If aluminum bar is cut in half What is the density of each half compared to the original density of the bar?

It is going to need to be divide by the original density and then after you find that out you get your answer.


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