Question

A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up. How many cubes have only one coloured face each

Answer 1

Answer:

The bigger cube is made up of 4 layers each of which has 16 smaller cubes.

When the cube is cut in half, each piece will have 2 layers of 16 smaller cubes each. Therefore all 64 smaller cubes has atleast one face exposed.

Since all the sides of the two pieces are painted (either yellow or orange), no small cube has any sde which is not coloured.