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As shown above, in pyramid ABCDABCDABCD, AD⊥BCAD \perp BCAD⊥BC, if AD=BC=2AD=BC=2AD=BC=2, AB+BD=AC+CD=4AB+BD=AC+CD=4AB+BD=AC+CD=4, then find the maximum volume for pyramid ABCDABCDABCD.
Let VVV denote the maximum volume. Submit ⌊1000V⌋\lfloor 1000V \rfloor⌊1000V⌋.
Have a look at my problem set: SAT 1000 problems
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