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)
• 276 square yards
• 251 square yards
• 151 square yards
O 1,298 square yards
The formula for the surface area of a square pyramid is given by:
Surface Area = base area + (0.5 * perimeter of base * slant height)
Given that the base edge length is 5 yards and the height is 25 yards, we can calculate the surface area as follows:
Base Area = (base edge length)^2 = 5^2 = 25 square yards
Perimeter of Base = 4 * (base edge length) = 4 * 5 = 20 yards
Slant Height = height^2 + (0.5 * base edge length)^2 = 25^2 + (0.5 * 5)^2 = 625 + 6.25 = 631.25 yards
Surface Area = 25 + (0.5 * 20 * 631.25) ≈ 25 + 6312.5 ≈ 6337.5 square yards
Rounded to the nearest whole number, the surface area of the square pyramid is:
6337.5 ≈ 6338 square yards
Therefore, option O 1,298 square yards is incorrect.
The correct answer is:
• 6338 square yards