Use the image to answer the question.
An illustration shows a pyramid with a square base. The side of the base is labeled 15 feet. The perpendicular height denoted by a right angle symbol on the lateral face from the apex to the base is labeled 9.9 feet.
Solve for the surface area of the square pyramid.
(1 point)
Responses
522 ft.2
522 ft. squared
819 ft.2
819 ft. squared
299.25 ft.2
299.25 ft. squared
148.5 ft.2
148.5 ft. squared
Skip to navigation
The surface area of a square pyramid can be calculated using the formula:
Surface Area = base area + 0.5 * perimeter of base * slant height
First, calculate the base area:
Base Area = side length * side length
Base Area = 15 feet * 15 feet
Base Area = 225 ft 2
Next, calculate the perimeter of the base:
Perimeter of Base = 4 * side length
Perimeter of Base = 4 * 15 feet
Perimeter of Base = 60 feet
Then, calculate the surface area:
Surface Area = 225 ft 2 + 0.5 * 60 feet * 9.9 feet
Surface Area = 225 ft 2 + 0.5 * 594 feet
Surface Area = 225 ft 2 + 297 feet
Surface Area = 522 ft 2
Therefore, the surface area of the square pyramid is 522 ft.2 or 522 ft. squared.