The surface area of a pyramid can be found using the formula:
Surface Area = Base Area + (1/2 × Perimeter of Base × Slant Height)
In the case of a square pyramid, the base is a square, so the Base Area can be found by squaring the length of one of the sides, in this case, the base edge.
Base Area = (Base Edge)^2
Base Area = 8^2 = 64 square feet
Next, we need to find the Perimeter of Base. Since the base is a square, all sides are equal, and the perimeter is the sum of all the sides of the square.
Perimeter of Base = 4 × Base Edge
Perimeter of Base = 4 × 8 = 32 feet
Now, we have all the necessary values to find the Surface Area.
Surface Area = Base Area + (1/2 × Perimeter of Base × Slant Height)
Surface Area = 64 + (1/2 × 32 × 16)
Surface Area = 64 + 256
Surface Area = 320 square feet
Therefore, the surface area of the square pyramid is 320 square feet.
Surface area of pyramids quick check unit eight lesson four what is the surface area of a square pyramid where the base edge is 8 feet and the slant height is 16 feet
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