Question

A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size.

How many cubes have at least one face coloured pink ?

• A. 1
• B. 9
• C. 16
• D. 25

Answer 1

The correct option is D 25

Since we are going to divide the cube into 125 small equal cubes.
we have to cut the cube in a particular format.
$125=5\times 5\times 5$
Hence we have to cut it 5 equal cuts in lengthwise then 5 equal cuts in breadth wise and 5 equal in thickness wise.
Now, since only one face is coloured pink.

So by this, we get $25$ cubes having at least one face pink coloured.
Hence answer is D.