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2018 AMC 10BProblem 10P1-10~4 minPrint
Solid GeometryTriangles: Area & PythagoreanAdd construction lines/points (drop altitudes, extend segments, connect centers)Set up the equation/formula and compute; no special trick needed

In the rectangular parallelepiped shown, AB=3AB=3 , BC=1BC=1 , and CG=2CG=2 . Point MM is the midpoint of FG‾\overline{FG} . What is the volume of the rectangular pyramid with base BCHEBCHE and apex MM ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.