A wooden cube whose edge length is 7 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?	Choose the correct choice from the following:	A) 59.8%	B) 63.6%	C) 67.2%	D) 70.5%	E) 73.6%
There are a total of 7*7*7= 
<gadget id="calculator">7*7*7</gadget>
<output>343</output>
343 cubes.   All the exterior cubes will have at least one face painted red.   The interior is formed by   5*5*5= 
<gadget id="calculator">  5*5*5</gadget>
<output>125</output>
125 cubes.   The number of cubes with at least one side painted red is  343 - 125= 
<gadget id="calculator"> 343 - 125</gadget>
<output>218</output>
218 cubes   The probability that a cube has at least one side painted red is 218/343 which is about 63.6%   The answer is 63.6%.
<result>B</result>
A wooden cube whose edge length is 7 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?