Question

1. 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

Since the volume of a cube $V = s^{3}$ and $V = 125$ cubic feet, then $s^{3}=125$. Solving for $s$, we have $s=\sqrt[3]{125}=5$ feet.

Step2: Calculate the length of each row

There are 12 identical storage units in each row. The length of each row $L$ is the side - length of one unit times the number of units in the row. So $L = 12\times s$. Substituting $s = 5$ feet, we get $L=12\times5 = 60$ feet.

Answer:

60 feet