A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimum number of such cuts required is
According to me, the first cut divides the cube into 2 equal pieces. The second cut divides it into 4 equal pieces, the third cut into 6 pieces of unequal sizes and the fourth cut into 8 equal pieces.
I don't understand how the third cut could give 8 pieces of equal size and shape.
Imagine the cube placed in front of you on a table.
The first two cuts are vertically down, $+$. This gives us $4$ equal pieces. The third cut is horizontal, like slicing the cube into two layers. Each of the $4$ pieces we had earlier is cut into two equal halves, giving us $8$ equal pieces.