Posted by **tripathi** on Wednesday, December 12, 2012 at 6:49am.

a cube of 6 cm is painted of all its 6 faces with red colour . it is then broken up into 216 smaller identical cubes .what is the number of smaller cubes with no coloured surface ,number of smaller cubes with 1 red face and number cubes with 2 red faces .

- math -
**MathMate**, Wednesday, December 12, 2012 at 10:27am
We have a cube of 6 cm broken into 216 cubes (of 1cm cubed), meaning each face is divided into 6x6=36 small squares.

The interior cube that has no paint therefore has a size of 4 cm cubed, or 64 cubic cm.

The cubes that have paint on two sides would be the middle four along each of the 12 edges (i.e. excluding the corners).

The cubes which have paint on one side would be the middle cubes of each face (16 cubes per face) There are six faces.

All these should add up to 208 cubes. Together with the 8 corners (with 3 faces painted), there will be 216 cubes.

## Answer This Question

## Related Questions

- math - there are 27 white cubes assembled to forma large cube.the outside ...
- math - there are 27 white cubes assembled to forma large cube.the outside ...
- math - there are 27 white cubes assembled to forma large cube.the outside ...
- Counting and Probability - (a) A cube is painted red on all six sides, then cut ...
- Geometry, Cubes - The surface of a cube is painted red and blue, 3 sides of each...
- Counting and Probability - (a) A cube is painted red on all six sides, then cut ...
- Math - The entire surface of a solid cube with a length of 6 inches is painted...
- Geometry - The surface of a cube is painted red and blue, 3 sides of each. The ...
- maths - a cube painted on its six faces and then it is cut into 4913 smaller ...
- Geometry - The surface of a cube is painted red and blue, 3 sides of each. The ...

More Related Questions