A block of wood, in the form of a cuboid 4″ x 7″ x 14″, has all its six faces painted pink. If the wooden block is cut into 392 cubes of 1″ x 1″ x 1″, how many of these would have pink paint on them?
Answer
The 1″ x 1″ x 1″ cubes that do not have any pink paint on them will be at the core of the wooden block. This core will be 2″ x 5″ x 12″, and will contain 120 cubes.
Out of a total of 392 cubes, there are 120 cubes without any pink paint on them. Therefore, the remaining 272 cubes will have one, two or three sides with pink paint on them, depending on whether they were at the face, edge or corner of the wooden block.
