Đáp án: (9/16)a^3
Giải thích các bước giải:
S(AC'D')/S(ACD) = (1/2)AC'.AD'.sin(^C'AD')/(1/2)AC.AD.sin(^CAD) = (2/3).(3/4) = 1/2
=> V(B.AC'D') = (1/2)V(B.ACD) = (1/2)V(A.BCD) = (1/2).(1/3).AB.S(BCD) = (1/2).(1/3).(a√3).[(3a)^2.(√3/4)] = (9/8)a^3
=> V(A.B'C'D') = V(C'.AB'D') = (1/2)V(C'.ABD') = (1/2)V(B.AC'D') = (9/16)a^3