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Question
A white-colored cube has a side length of 12 cm. Its faces are painted in six different colors (red, green, blue, orange, pink, and black). The cube is separated into unit cubes of side 1 cm. How many unit cubes will have two colors on any of their sides?
A white-colored cube has a side length of 12 cm. Its faces are painted in six different colors (red, green, blue, orange, pink, and black). The cube is separated into unit cubes of side 1 cm. How many unit cubes will have two colors on any of their sides?
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Solution
The correct option is C 120
There are a total of 12 unit cubes on one edge, out of which 10 have two colors on their faces. The other 2 that are marked with X signs have 3 colors on their faces.
Hence, on each edge, there are 10 cubes and there are 12 such edges on a cube.
Hence, total number of required unit cubes are = 12 × 10 = 120
There are a total of 12 unit cubes on one edge, out of which 10 have two colors on their faces. The other 2 that are marked with X signs have 3 colors on their faces.
Hence, on each edge, there are 10 cubes and there are 12 such edges on a cube.
Hence, total number of required unit cubes are = 12 × 10 = 120
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