Question

A solid cube has been painted yellow, blue,
black on pairs Of opposite faces. The cube is
then cut into 36 smaller cubes such that
32 cubes are of the same size while
4 others are of bigger size. Also no faces
of any of the bigger cubes is painted
blue.




Q1

How
many cubes do not have any of their face painted yellow ?​

Answer 1

Step-by-step explanation:

In the figure there are 36 cubes 32 of which are of the same size and 4 others are of bigger size Clearly each side of bigger cubes is twice as large as that of smaller cubes Also since no face of any of the larger cubes is painted blue so each one of the larger cubes has one face painted red one face painted black and all other faces unpainted

The cubes having at least one face painted yellow are the 10 cubes along the top surface and 10 cubes along the bottom surface i.e. 20 cubes having at least one face painted yellow Thus the number of cubes having none of their faces painted yellow are 36−20=16