A box measuring 30 inches long by 48 inches wide by 12 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?	Choose the correct choice:	A) 78	B) 80	C) 85	D) 88	E) 90
least number of cubes will be required when the cubes that could fit in are biggest.   6 is the biggest number that could divide all three, 30, 48 and 12.   Thus side of cube must be 6, and total number of cubes = 30/6 * 48/6*12/6= 
<gadget id="calculator">30/6 * 48/6*12/6</gadget>
<output>80</output>
80   Ans 80.
<result>B</result>
A box measuring 30 inches long by 48 inches wide by 12 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?