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. 22 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) 103
Use the options.   The options which after getting added to 27 shows a cube of a number could be right.   Here    64+22= 
<gadget id="calculator"> 64+22</gadget>
<output>86</output>
86   72+22= 
<gadget id="calculator">72+22</gadget>
<output>94</output>
94   86+22= 
<gadget id="calculator">86+22</gadget>
<output>108</output>
108   98+22= 
<gadget id="calculator">98+22</gadget>
<output>120</output>
120   103+22= 
<gadget id="calculator">103+22</gadget>
<output>125</output>
125 ---(5*5*5)   So we have 103 as the answer!   103
<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. 22 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?