A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is seven times the width. The volume of the storage space is 595 cubic feet. Find the width and length of storage space

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

The storage space takes the shape of a rectangular prism, and we are required to find the width and length  of the storage space.

let the width of the basement be "w"

Given data

volume v=

length l =

width w=

height h=

We know that the expression for the volume of a rectangular prism is

substituting our data we have to find "w"

dividing both sides by 35 we have

find the square root of both sides we have

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width