Question

Use the image to answer the question.

An illustration shows a pyramid with a square base. The side of the base is labeled 15 feet. The perpendicular height denoted by a right angle symbol on the lateral face from the apex to the base is labeled 9.9 feet.

Solve for the surface area of the square pyramid.

(1 point)

522 ft.2


819 ft.2


299.25 ft.2


148.5 ft.2

Answer 1

Slant height l = 9.9, base side s = 15.

Base area = s^2 = 15^2 = 225.
Lateral area = 1/2 · perimeter · slant height = 1/2 · (4·15) · 9.9 = 30 · 9.9 = 297.

Total surface area = 225 + 297 = 522 ft^2.

Answer: 522 ft^2.