Benjamin rents s 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?

Respuesta :

5 feet would be your answer as 5x5 (lengthxwidth) would make 25x5 (basexheight) would make 125 as the volume

Answer:

The length of each row in the facility is:

                    60 feet

Step-by-step explanation:

Let s denote the length of each of the storage unit.

Hence, the volume of each of the storage unit which are in the shape of a cube is given by:

[tex]Volume=s^3[/tex]

Based on the information we have:

[tex]s^3=125\\\\i.e.\\\\s^3=5^3\\\\s=5[/tex]

Hence, the length of each of the storage unit is : 5 feet

Also,

There are 12 identical storage units in each row of the facility.

This means that the total length of row= 12×Length of one unit

i.e.

Total length of row= 12×5

i.e.

Total length of row= 60 feet