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# Cube Slicing in Rn

Keith Ball
Proceedings of the American Mathematical Society
Vol. 97, No. 3 (Jul., 1986), pp. 465-473
DOI: 10.2307/2046239
Stable URL: http://www.jstor.org/stable/2046239
Page Count: 9
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## Abstract

We prove that every (n - 1)-dimensional section of the unit cube in Rn has volume at most $\sqrt2$. This upper bound is clearly best possible.

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