How much space, in cubic units, is left vacant when maximum number of 4x4x4 cubes are fitted in a rectangular box measuring 10x12x16 ?  Choose the correct answer:
A) 0
B) 36
C) 180
D) 216
E) 384
No of cubes that can be accommodated in box = (10*12*16)/(4*4*4)   12*16 in numerator can be perfectly divided by 4*4 in denominator.   side with length 10 can't be perfectly divided by 4 and hence is the limiting factor. Closet multiple of 4 less that 10 is 8. so vacant area in cube =   =12*16*(10-8)   =12*16*2= 
<gadget id="calculator">12*16*2</gadget>
<output>384</output>
384   ANSW384R:384
<result>E</result>
How much space, in cubic units, is left vacant when maximum number of 4x4x4 cubes are fitted in a rectangular box measuring 10x12x16 ?