Answer:
The shortest height is 36 inches
Step-by-step explanation:
Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it
This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;
The multiples of both are as follows;
12 - 12, 24,36,48,60•••••
18-18,36,54,72••••••
We can see that at the point 36, both have their first multiple match
So we can say that the lowest common multiple of 18 and 12 is 36