Two adjacent faces of a cube are painted. The cube is then cut into 125 smaller identical cubes. How many of these smaller cubes will have exactly one face painted?
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The cube is 5 * 5 * 5 smaller cubes = 1 large cube
So each face is 5 * 5 = 25 cubes
The number of cubes on each face with only 1 side painted is
4 * 5 = 20
So there 40 smaller cubes with 1 face painted
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