To find the surface area of a square pyramid, we need to find the area of the base and the area of the four triangular faces.
1. Area of the base (square):
Area = side^2
Area = 15^2 = 225 square feet
2. Area of one triangular face:
Using the formula for the area of a triangle:
Area = (1/2) * base * height
Area = (1/2) * 15 * 9.9
Area = 74.25 square feet
3. Surface area of the pyramid:
Surface area = 4 * (1/2 * 15 * 9.9) + 225
Surface area = 4 * 74.25 + 225
Surface area = 297 + 225
Surface area = 522 square feet
Therefore, the surface area of the square pyramid is 522 ft^2 or 522 ft. squared.
Question
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
299.25 ft.2
299.25 ft. squared
819 ft.2
819 ft. squared
148.5 ft.2
148.5 ft. squared
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1 answer
1 answer