Answer:
378 Cubic feet
Step-by-step explanation:
Given a rectangular prism shaped shed:
Area of the floor of the shed = 63 square feet.
Let the width of the shed=w
The length of the shed is 2 feet greater than the width.
Therefore: Length =w+2
Base Area = Length X Width
So: w(w+2)=63
[tex]w^2+2w-63=0\\w^2+9w-7w-63=0\\w(w+9)-7(w+9)=0\\(w-7)(w+9)=0\\w=7 ft, w\neq -9[/tex]
Width =7ft
Length =9 ft
The height is 1 foot less than the width.
Height =7-1=6 ft
Volume of a rectangular prism = Base Area X Height
=63 X 6
=378 cubic feet
Therefore, the volume of the shed is 378 cubic feet.
