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

251 square yards
251 square yards

1,298 square yards
1,298 square yards

151 square yards
151 square yards

276 square yards

Answer 1

Surface area SA = base area + lateral area = s^2 + 2sℓ, where ℓ is the slant height.

s = 5, h = 25, ℓ = sqrt((s/2)^2 + h^2) = sqrt(2.5^2 + 25^2) = sqrt(631.25) ≈ 25.124.

SA = 5^2 + 2(5)(25.124) = 25 + 251.24 = 276.24 ≈ 276 square yards.

Answer: 276 square yards.