A box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?  Pick.
A) 90
B) 180
C) 210
D) 240
E) 864
least number of cubes will be required when the cubes that could fit in are biggest.   3 is the biggest number that could divide all three, 27, 15 and 6.   Thus side of cube must be 3, and total number of cubes = 27/3 * 15/3*6/3= 
<gadget id="calculator">27/3 * 15/3*6/3</gadget>
<output>90</output>
90   90ns 90 it is.
<result>A</result>
A box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?