Question

What is the surface area of a square pyramid where the length of the base edge is 20 cm and the height is 26 cm? Round your answer to the nearest whole number.(1 point)
Responses

1,440 cm2

1 comma 440 cm squared

1,134 cm2

1 comma 134 cm squared

1,114 cm2

1 comma 114 cm squared

1,514 cm2

Answer 1

Base edge a = 20 cm, height h = 26 cm. Slant height l = sqrt(h^2 + (a/2)^2) = sqrt(26^2 + 10^2) = sqrt(776) ≈ 27.8568 cm.

Lateral area = 2a·l = 40·l ≈ 40(27.8568) ≈ 1114.27 cm^2.
Total surface area = base area + lateral area = 400 + 1114.27 ≈ 1514.27 cm^2.

Rounded to the nearest whole number: 1514 cm^2 (option 1,514 cm2).