Question

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?

Answer 1

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

Answer 2

The length of each row in the facility is:

60 feet

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:

`Volume=s^3`

Based on the information we have:

`s^3=125\\\\i.e.\\\\s^3=5^3\\\\s=5`

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