a box measuring 72 inches long by 48 inches wide by 24 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 ?
"least number of cubes will be required when the cubes that could fit in are biggest . 8 is the biggest number that could divide all three , 72 , 48 and 24 . thus side of cube must be 8 , and total number of cubes = 72 / 8 * 48 / 8 * 24 / 8 = 162 ans e it is ."
divide(multiply(multiply(72, 48), 24), volume_cube(divide(24, const_2)))