A cube, 4cm by 4cm by 4cm is painted and then cut into 1cm by 1cm by 1 cm smaller cubes. How many of these smaller cubes are painted on 3 faces?

1 Answer
Aug 14, 2017

Eight.

Explanation:

It is only the corner cubes that will have paint on three faces as can be seen from this diagram.

http://jwilson.coe.uga.edu/EMT668/EMT668.Student.Folders/SeitzBrian/EMT669/painted.cube/image2.gif

Hence, the total number of smaller cubes painted on three faces is equal to the number of corners in a cube, which is eight .