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The Cut Cube (Posted on 2019-02-13) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution Alternate solution | Comment 3 of 4 |
Assuming Charlie's orientation for the points A, B, C, D, (see my previous comment), and noting symmetry, the answer for any orientation of the plane cutting the cube is 24x24x(avg of height of the points A B C D from the table) = 24x24x6 = 3456
  Posted by Kenny M on 2019-02-13 14:08:18
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