A box measuring 90 inches long by 45 inches wide by 9 inches deep is to be filled entirely with ...
A box measuring 90 inches long by 45 inches wide by 9 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?
Answer/Solution
50
Steps/Work
least number of cubes will be required when the cubes that could fit in are biggest.
9 is the biggest number that could divide all three, 90, 45 and 9.
Thus side of cube must be 9, and total number of cubes = 90/9 * 45/9*9/9 = 50
Ans C it is.
9 is the biggest number that could divide all three, 90, 45 and 9.
Thus side of cube must be 9, and total number of cubes = 90/9 * 45/9*9/9 = 50
Ans C it is.