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Crushed (crumpled) paper occupies more space than folded paper, and better resists being compressed, because the paper material contains irregular folding against the grain, or strength of the paper. Part of the ball consists of flat surfaces and part as "columns" that resist being further crushed. The paper's relative stiffness will determine the actual difference in compression resistance.

Most of the volume of a paper "ball" is "trapped" air spaces between the crumpled folds.

A similar use of the strength of the material can be demonstrated by creasing a piece of paper into a fan consisting of multiple pleats, with a cross-section having a sawtooth shape. This pleated sheet will resist deformation (bending) to a much greater extent than the unfolded paper sheet.

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Q: Why does crushed paper occupy more space?
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