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19 June, 06:45

A cube is painted red on all six sides, then cut into 125 smaller congruent cubes. A small cube is selected at random and rolled. What is the probability that it has a red side facing up?

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  1. 19 June, 08:10
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    125 = 5³ = 5 · 5 · 5

    Every side of a larger cube is cut into 25 congruent squares.

    Number of sides of smaller cubes that are painted: 25 · 6 = 150

    Number of all sides of 125 cubes: 125 · 6 = 750

    Probability : P (A) = 150/750 = 1/5 = 0.2

    Answer: probability is 0.2 or 20%
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