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| The Cut Cube (Posted on 2019-02-13) |
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A cube on a table has edge length 24. A plane intersects the cube's four vertical edges at points A, B, C, and D such that point A is a vertex of the cube lying on the table. The heights of points B and C from the table floor are 7 and 12, respectively.
Calculate the volume of the portion of the cube that lies underneath the cutting plane.
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