A solid wooden cube is painted blue on all its faces, the cube is then cut into smaller cubes,with each edge one-sixth of the edge of the original cube. How many of the smaller cubes will have only one face obtained?


A Solid Wooden Cube Is Painted Blue On All Its Faces,

The Cube Is Then Cut Into Smaller Cubes, With Each Edge One Sixth Of The Edge Of The Original Cube

= 6 * 6 * 6= 216 cubes

Now cube adjacent to the edges will have more than one face painted. Hence, the number of cubes having one face painted is

= 6 * 4 * 4

= 96

Therefore, 96 Smaller cubes will have only one face painted.

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