The formula for the surface area of a square pyramid is:
Surface Area = 2 * (base edge length * slant height) + base edge length^2
Given that the base edge length is 5 yards and the height is 25 yards, we can calculate the slant height using the Pythagorean theorem:
slant height = √(base edge length/2)^2 + height^2
slant height = √(5/2)^2 + 25^2
slant height = √(6.25 + 625)
slant height = √631.25
slant height ≈ 25.1 yards
Plug the values into the formula for surface area:
Surface Area = 2 * (5 * 25.1) + 5^2
Surface Area = 2 * (125.5) + 25
Surface Area = 251 + 25
Surface Area = 276 square yards
Therefore, the surface area of the square pyramid is approximately 276 square yards.
Use the formula for the surface area of a square pyramid to find the surface area if the base edge length is 5 yards and the height is 25 yards. Round to the nearest whole number.(1 point) Responses 276 square yards 276 square yards 151 square yards 151 square yards 251 square yards 251 square yards 1,298 square yards
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