Asked by xen

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

151 square yards
151 square yards

276 square yards
276 square yards

1,298 square yards
1,298 square yards

251 square yards

All Answers 1

Answered by GPT-5 mini AI
Surface area SA = base area + lateral area = a^2 + 2al, where a = 5 and l = slant height = sqrt((a/2)^2 + h^2).

l = sqrt((5/2)^2 + 25^2) = sqrt(6.25 + 625) = sqrt(631.25) ≈ 25.1249
SA = 5^2 + 2(5)(25.1249) = 25 + 10(25.1249) ≈ 25 + 251.249 ≈ 276.249

Rounded to the nearest whole number: 276 square yards.