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

The volume \( V \) of a cube is given by the formula \( V = s^3 \), where \( s \) is the side length. We know the volume of each storage unit is 125 cubic feet. So we set up the equation \( s^3 = 125 \). To find \( s \), we take the cube root of both sides. The cube root of 125 is 5, because \( 5^3 = 125 \). So the side length \( s \) of each storage unit is 5 feet.

Step2: Calculate the length of each row

There are 12 identical storage units in each row. Since each storage unit has a side length of 5 feet, the length of each row is the number of storage units times the side length of one storage unit. So we calculate \( 12\times5 = 60 \) feet.

Answer:

The length of each row in the facility is 60 feet.