Directions (3 of 3 questions): A cube of 5 cm has been painted on its surfaces in such a...
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Directions (3 of 3 questions):**
A cube of 5 cm has been painted on its surfaces in such a way that two opposite surfaces have been painted blue and two adjacent surfaces have been painted red. Two remaining surfaces have been left unpainted. Now the cube is cut into smaller cubes of side 1 cm each.
How many cubes will have at least blue color on its surfaces?
Show answer & explanation
Two opposite faces are painted blue. Since opposite faces do not share any cubes, total cubes = 25 + 25 = 50.
Step-by-step Derivation:
Step 1: Face 1 (5x5) has 25 cubes.
Step 2: Opposite Face 2 (5x5) has 25 cubes.
Step 3: Opposite faces have zero intersection.
Step 4: Total cubes with blue paint = 25 + 25 = 50.