Question

The roof of a gazebo is in the shape of an octagonal pyramid. Each side of the octagon is 12 feet, the height of
each triangular face is 10 feet, and the area of the octagon is 695 square feet. How many square feet of cedar are
needed to cover the lateral surface area of the octagonal pyramid? (1 point)

O 960 ft.2

O 360 ft.2

1,175 ft.2

O 480 ft.2

Answer 1

Each triangular face area = 1/2 × base × slant height = 1/2 × 12 × 10 = 60 ft².
There are 8 faces, so total lateral area = 8 × 60 = 480 ft².

Answer: 480 ft².