# SAT1000 - P648

Geometry Level 4

As shown above, in pyramid $ABCD$, $AD \perp BC$, if $AD=BC=2$, $AB+BD=AC+CD=4$, then find the maximum volume for pyramid $ABCD$.

Let $V$ denote the maximum volume. Submit $\lfloor 1000V \rfloor$.

Have a look at my problem set: SAT 1000 problems

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