Two sizes of packing boxes are being stacked next to each other in a warehouse one type of the box is 12 inches high and the other is 16 inches high the heights of the stacks are to be equal what is the shortest possible height of a stack?
What is the least common multiple of 12 and 16?
48
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Two sizes of concrete blocks are being used to build a raised garden bed for strawberries the first kind of block is 8 inches long and the second is 12 inches long a row of the shorter block is laid on the top of row of the longer blocks using only whole blocks what is the shortest length for which the two rows of blocks are equally long
To find the shortest possible height of a stack, we need to find the greatest common divisor (GCD) of the two box heights. The GCD is the largest number that divides evenly into both numbers.
The two box heights are 12 inches and 16 inches. We can find the GCD using the following steps:
Step 1: List all the factors of both numbers:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 16: 1, 2, 4, 8, 16
Step 2: Identify the common factors between the two lists:
Common factors: 1, 2, 4
Step 3: Find the greatest common divisor (GCD) from the common factors:
GCD: 4
Therefore, the shortest possible height of a stack that can accommodate both box sizes is 4 inches.