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 Cube Decomposition (Posted on 2018-04-02)
A point is picked inside a cube so that it is decomposed into 6 pyramids, the bases being the faces of the cube. The volumes of five of those pyramids are 2, 5, 10, 11, and 14.

What is the volume of the sixth pyramid?

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

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 re: solution with explanation Comment 4 of 4 |
(In reply to solution with explanation by Charlie)

One might well add that we also know the position of the given point.

Given three mutually perpendicular sides of the cube
It is 2/16*curt(48) from one side,
5/16*curt(48) from another, and
6/16*curt(48) from the third.

 Posted by Jer on 2018-04-02 15:18:25

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