If each lateral edge measures 15 ft and each base edge measures 18 ft, how many square feet of shingles need to be replaced? ( PLEASE SHOW STEPS)

Question

A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be covered corresponds to the lateral area of the square pyramid.

18 ft

15 ft

18 ft

A regular square pyramid has three labeled sides and a dashed segment inside it.

1. The right lateral edge is labeled 15 ft.
2. The front base edge is labeled 18 ft.
3. The right base edge is labeled 18 ft.
4. A vertical segment begins inside the top center of the pyramid and ends in the center of the base.

If each lateral edge measures 15 ft and each base edge measures 18 ft, how many square feet of shingles need to be replaced?

Answer 1

Use Pythagoras to determine height of each face

Determine the area of each face.

Multiply by four.