A wooden cube whose edge length is 9 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?  Pick
A) 52.9%
B) 55.4%
C) 58.3%
D) 61.7%
E) 64.5%
There are a total of 9*9*9= 
<gadget id="calculator">9*9*9</gadget>
<output>729</output>
729 cubes.   All the exterior cubes will have at least one face painted red.   The interior is formed by   7*7*7= 
<gadget id="calculator">  7*7*7</gadget>
<output>343</output>
343 cubes.   The number of cubes with at least one side painted red is  729 - 343= 
<gadget id="calculator"> 729 - 343</gadget>
<output>386</output>
386 cubes   The probability that a cube has at least one side painted red is 386/729 which is about 52.9%   The answer is 52.9%.
<result>A</result>
A wooden cube whose edge length is 9 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?