Question

benjamin rents a storage unit that is shaped like a cube. there are 12 identical storage units in each row of the facility. if each storage unit has a volume of 125 cubic feet, what is the length of each row in the facility?

Explanation:

Step1: Find the side - length of one storage unit

The volume of a cube is given by $V = s^{3}$, where $V$ is the volume and $s$ is the side - length. Given $V = 125$ cubic feet, we solve for $s$:
\[s=\sqrt[3]{125}=5\text{ feet}\]

Step2: Calculate the length of each row

There are 12 units in each row. Since each unit has a side - length of 5 feet, the length of each row is the product of the number of units and the side - length of one unit.
\[L = 12\times5=60\text{ feet}\]

Answer:

60 feet