Math problem : KKK.17 Piling up cubes and cut

As shown in Fig. 1, a cube whose one side is 8 cm is made by accumulating small cubes whose one side is 1 cm.



(1) When you cut the cube of Fig. 1 by the plate which is shown as the shadow as shown in Fig. 2, find the number of small cubes being cut.

(2) When you cut the cube of Fig. 1 by the plate which is shown as the shadow as shown in Fig. 3, find the number of the small cubes being cut.
The points A and B in a Fig.3 are the middle points of the sides, respectively.













Answer
(1) 64 pieces
(2) 96 pieces



Reference