Question

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.the number of smaller cubes so formed is?
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Answer 1

Answer:

here's is Ur answer

Step-by-step explanation:

When the painted cube is cute into 125 small equal cubes, we have:

A 3 faces painted cube on every corner

⇒Number of cubes with 3 face painted=1×8=8

Three 2-faces painted cube on every edge

⇒Number of cubes with 2 face painted=3×12=36

Nine single face painted cube on side

⇒Number of cubes with 1 face painted=9×6=54

∴ Number of cubes with no face painted=125−8−36−54=27

Answer 2

Answer:

96 cube have only one face painted.

Step-by-step explanation:

Disclaimer: The question is incorrect, correct question is:

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?

Given: A solid wooden cube Is Painted Blue on all its faces.

When the cube is cut down into smaller cubes, with an edge 1/6 th 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 cubes.

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

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