(1)求证:BD⊥平面ADG;
(2)求平面AEFG与平面ABCD夹角的余弦值.
如图,在直三棱柱ABC-A1B1C1中,A1B1⊥A1C1,B1C⊥AC1,AB=2,AC=1,则该三棱柱的体积为( )