How much space, in cubic units, is left vacant when maximum number of 7x7x7 cubes are fitted in a rectangular box measuring 14x21x17 ?	Choose the correct choice from the following choices:
A) 878
B) 879
C) 880
D) 881
E) 882
No of cubes that can be accommodated in box = (14*21*17)/(7*7*7)   12*16 in numerator can be perfectly divided by 7*7 in denominator.   side with length 17 can't be perfectly divided by 7 and hence is the limiting factor. Closet multiple of 7 less that 17 is 14. so vacant area in cube =   =14*21*(17-14)   =14*21*3= 
<gadget id="calculator">14*21*3</gadget>
<output>882</output>
882   Ans - 882
<result>E</result>
How much space, in cubic units, is left vacant when maximum number of 7x7x7 cubes are fitted in a rectangular box measuring 14x21x17 ?