>>965補足。
△ABD=BD×AQ×(1/2)
=(1+10/3)×5×(1/2)
=(13/3)(5/2)
=65/6
AC:CD=3:2だから、
△ABC=△ABD×(3/5)
=(65/6)×(3/5)
=13/2
=6.5(cu)