A pyramid on the same base with the same height of its associated prism will have a volume of 1/3 of the prism
But the pyramid here has only 1/2 the base of its associated prism
So....its volume = (1/3(1/2)12 = 2 units^3
So...the volume of the remaining piece =
(12 - 2) units^3 =
10 units^3