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. 25 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red? Select the correct option.
A) 64  B) 72  C) 86  D) 98  E) 100
Use the options.   The options which after getting added to 25 shows a cube of a number could be right.   Here    64+25= 
<gadget id="calculator"> 64+25</gadget>
<output>89</output>
89   72+25= 
<gadget id="calculator">72+25</gadget>
<output>97</output>
97   86+25= 
<gadget id="calculator">86+25</gadget>
<output>111</output>
111   98+25= 
<gadget id="calculator">98+25</gadget>
<output>123</output>
123   100+25= 
<gadget id="calculator">100+25</gadget>
<output>125</output>
125 ---(5*5*5)   So we have 100 as the answer!   100
<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. 25 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?