A cube is divided into 729 identical cubelets. each cut is made parallel to some surface of the cube . but before doing that the cube is colored with green color on one set of adjacent faces ,red on the other set of adjacent faces, blue on the third set. so, how many cubelets are there which are painted with exactly one color?
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If a cube is divided into 729 identical cubelets,
It will have 9 X 9 cubes in a plane of the cube.
Cubes having exactly one side painted in one face=(n-2) X (n-2) =49
But, we have 6 faces.
Therefore, the total numbers of cubes having only one side painted
=6 X 49=294 Cubelets
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3
Answer:
294
Step-by-step explanation:
total cubes created are 729
so a plane of big cube has 9*9 cubes
out of that(n-2)*(n-2)=7*7=49 are painted only one side
and a cube has six sides=6*49=294
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