Question

A cube is coloured orange on one face red on opposite face,green on one face and yellow on one face adjacent to green face the other two faces are left uncoloured.It is then cut into 125 smaller cubes of equal size.how many cubes have at least one face painted red

Answer 1

Answers:

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Explanation :

When a cube is cut into 125 cubes, each cube is of size 5 by 5.

When a cube is cut into 125 cubes, each cube is of size 5 by 5.So, the number of cubes with uncoloured on one face and orange or pink colour on another are the cubes on the edges of orange and pink face. i.e. total of 10 cubes.

on one face and orange or pink colour on another are the cubes on the edges of orange and pink face. i.e. total of 10 cubes.Now as 2 sides are uncoloured, there will be 6 cubes that will have 4 uncoloured faces

on one face and orange or pink colour on another are the cubes on the edges of orange and pink face. i.e. total of 10 cubes.Now as 2 sides are uncoloured, there will be 6 cubes that will have 4 uncoloured facesSo ttoal number of cubes is 10+6=16.