# 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.

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