surface area square base edge 8ft and slant height of 16ft
To find the surface area of a square pyramid with a square base, you need to find the areas of all five faces and add them up.
The formula for the surface area of a square pyramid is:
Surface Area = Base Area + 4 * (1/2 * Base Perimeter * Slant Height)
First, let's calculate the base area:
The edge of the square base is 8ft, so the base area is 8ft * 8ft = 64ft^2.
Next, let's calculate the slant height:
The slant height is given as 16ft.
Now, let's calculate the base perimeter:
The base perimeter is the sum of all four sides of the square base.
Since all sides of the square are equal, the base perimeter is 4 * 8ft = 32ft.
Finally, let's calculate the surface area:
Surface Area = 64ft^2 + 4 * (1/2 * 32ft * 16ft)
Surface Area = 64ft^2 + 4 * (16ft * 16ft)
Surface Area = 64ft^2 + 4 * 256ft^2
Surface Area = 64ft^2 + 1024ft^2
Surface Area = 1088ft^2
Therefore, the surface area of a square pyramid with a square base of edge lengths 8ft and a slant height of 16ft is 1088ft^2.