How much space, in cubic units, is left vacant when maximum number of 6x6x6 cubes are fitted in a rectangular box measuring 12x18x14 ?  Pick.
A) 428	B) 429	C) 430	D) 431	E) 432
No of cubes that can be accommodated in box = (12*18*14)/(6*6*6)   12*16 in numerator can be perfectly divided by 6*6 in denominator.   side with length 14 can't be perfectly divided by 6 and hence is the limiting factor. Closet multiple of 6 less that 14 is 12. so vacant area in cube =   =18*12*(14-12)   =18*12*2= 
<gadget id="calculator">18*12*2</gadget>
<output>432</output>
432   Ans - 432
<result>E</result>
How much space, in cubic units, is left vacant when maximum number of 6x6x6 cubes are fitted in a rectangular box measuring 12x18x14 ?