Chóp S.ABCD, ABCD là hình thoi, AB = a, \(\widehat{ABC}={{60}^{0}},\,\,SA\bot \) đáy, \(AC\cap BD=O,\) \(\widehat{\left( SO;\left( SAB \right) \right)={{30}^{0}}}\) . Tính VS.ABCD
A.\(\frac{{{a}^{3}}\sqrt{3}}{12}\)
B. \(\frac{{{a}^{3}}\sqrt{5}}{12}\)
C. \(\frac{{{a}^{3}}\sqrt{6}}{12}\)
D. \(\frac{{{a}^{3}}\sqrt{7}}{12}\)