Partitioning a cube Consider the region D1 = 51x, y, z2: 0

Chapter 13, Problem 56

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Partitioning a cube Consider the region D1 = 51x, y, z2: 0 x y z 16. a. Find the volume of D1. b. Let D2, c, D6 be the cousins of D1 formed by rearranging x, y, and z in the inequality 0 x y z 1. Show that the volumes of D1, c, D6 are equal. c. Show that the union of D1, c, D6 is a unit cube.

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