Question

A solid cube has been painted yellow, blue and 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 sizes.
Also no faces of any of the bigger cubes is painted blue.
How many cubes do not have any of their faces painted yellow ?
(1) 0
(2) 4
(3) 8
(4) 16

Answer 1

Answer A Is the option 3 which is 8

Answer 2

Answer:

Number of cubes that do not have any of their faces painted yellow are 16

Step-by-step explanation:

The smaller 32 cubes are in the upper and lower portion of the cube, while the 4 bigger cubes will be in the middles.

since no faces of any of the bigger cubes is painted blue which means the upper and lower portion of the cube are painted blue.

Taking any two opposite faces, the number of cubes having yellow paint

= ( 4 + 2 + 4) + (4 + 2 + 4)

= 20

Total number of cubes = 32 + 4 = 36

=> Number of cubes that do not have yellow paint = 36 - 20 = 16