SAT1000 - P606

Geometry Level pending

As shown above, in ABC\triangle ABC, AB=BC=2AB=BC=2, ABC=2π3\angle ABC = \dfrac{2\pi}{3}.

If PP is outside plane ABCABC and point DD is on segment ACAC, so that PD=DA,PB=BAPD=DA, PB=BA, then find the maximum volume of pyramid PBCDPBCD.

Let VV denote the volume of PBCDPBCD, submit 10000V\lfloor 10000V \rfloor.

Have a look at my problem set: SAT 1000 problems


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