Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? Select the correct option:
A) 113	B) 114	C) 115	D) 116	E) 117
The total volume (in terms of number of cubes) of the solid = 3*9*5= 
<gadget id="calculator">3*9*5</gadget>
<output>135</output>
135   The total volume (in terms of number of cubes) of the hollow= (3-2)*(9-2)*(5-2)= 
<gadget id="calculator">(3-2)*(9-2)*(5-2)</gadget>
<output>21</output>
21   so number of cubes required= 135-21= 
<gadget id="calculator">135-21</gadget>
<output>114</output>
114   ANSWER:114
<result>B</result>
Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?