Question
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
1,298 square yards
1,298 square yards
151 square yards
151 square yards
251 square yards
251 square yards
276 square yards
Responses
1,298 square yards
1,298 square yards
151 square yards
151 square yards
251 square yards
251 square yards
276 square yards
Answers
GPT 3.5
The formula for the surface area of a square pyramid is given by:
Surface Area = (base edge length)^2 + 2(base edge length)(height)
Plugging in the given values, we have:
Surface Area = (5 yards)^2 + 2(5 yards)(25 yards)
Simplifying, we get:
Surface Area = 25 square yards + 250 square yards
Surface Area = 275 square yards
Rounding to the nearest whole number, we get:
Surface Area ≈ 276 square yards
Therefore, the surface area of the square pyramid is approximately 276 square yards.
Surface Area = (base edge length)^2 + 2(base edge length)(height)
Plugging in the given values, we have:
Surface Area = (5 yards)^2 + 2(5 yards)(25 yards)
Simplifying, we get:
Surface Area = 25 square yards + 250 square yards
Surface Area = 275 square yards
Rounding to the nearest whole number, we get:
Surface Area ≈ 276 square yards
Therefore, the surface area of the square pyramid is approximately 276 square yards.