Find the volume of a Pyramid with square base where the area of the base is 19.6ft and the height of the Pyramid is 11.6ft.
The formula for the volume of a Pyramid is:
Volume = (1/3) x Base Area x Height
First, we need to find the base edge length of the square base. Since the area of the base is given as 19.6ft, we can use the formula for the area of a square:
Area = Length x Width
19.6ft = Length x Length
Length = √19.6ft ≈ 4.43ft
Now, we can use the formula for the volume of a Pyramid:
Volume = (1/3) x Base Area x Height
Volume = (1/3) x (4.43ft)^2 x 11.6ft
Volume = (1/3) x 19.6ft^2 x 11.6ft
Volume = (1/3) x 224.96ft^3
Volume ≈ 74.99ft^3
Therefore, the volume of the Pyramid is approximately 74.99 cubic feet.