Advanced Geometric Problem & Solution (Twice a week update) Now 4565 problems posted.
<Solid-2024-247>, hint
Let O be the center of BCD, M be the midpoint f BC, B=1
cos<AMO=cosX=MO/AM=1/3
Let volume of PQRS, ABCD be V,v
Then V/5v=(PSxPSxPS)/1x5=(125/27)=25/27<1.
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