a cube has colors blue,red ,yellow each on two opposite sides.cube is divided into "32 small cubes and 4 large cubes". how many cubes (on 36 cubes) have blue at least one side. how many cubes have colors on two sides.
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Answer / Mohit Madaan
First, let's find the number of cubes with at least one blue face. Since a cube has 6 faces, and each large cube shares 4 faces with the small cubes that surround it, there will be 2 faces for each large cube with unique colors. In total, there are 4 large cubes, so 4 * 2 = 8 cubes have at least one blue face. Now, let's find the number of cubes with two blue faces. Since the cube has 6 faces and we know that 8 cubes already have at least one blue face, there are 6 - 8 = -2 remaining cubes for those with two blue faces (this is impossible, but it represents the fact that no more cubes can have two blue faces). However, since the cube is divided into 36 small cubes, the remaining number of cubes with two colors on their sides would be the total count minus the cubes with only one blue face. So, 36 - 8 = 28 cubes have colors on two sides.
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