Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?  Choices:
A) 64	B) 72	C) 86	D) 98	E) 102
Use the options.   The options which after getting added to 23 shows a cube of a number could be right.   Here    64+23= 
<gadget id="calculator"> 64+23</gadget>
<output>87</output>
87   72+23= 
<gadget id="calculator">72+23</gadget>
<output>95</output>
95   86+23= 
<gadget id="calculator">86+23</gadget>
<output>109</output>
109   98+23= 
<gadget id="calculator">98+23</gadget>
<output>121</output>
121   102+23= 
<gadget id="calculator">102+23</gadget>
<output>125</output>
125 ---(5*5*5)   So we have 102 as the answer!   102
<result>E</result>
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?