Question

a cube is coloured blue in one face yellow on the opposite face green on face adjacent to green face . the other two faces are left uncoloured it is then cut into 125 smaller cubes of equal sizes.how many cubes have all the faces uncoloured​

Answer 1

Answer:

LOGICAL REASONING

All the faces of a cube are painted with blue colour. Then it is cut into 125 small equal cubes. How many small cubes will be formed having no face coloured ?

ANSWER

The answer is option A

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

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Answer 2

In cube of any kind or faces no.of all faces coloured is 8

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