Question

is designing a piece of artwork for a hotel. The artwork is in the shape of a square pyramid as shown. He wants to cover the pyramid with decorative glass. Use a net to find how many square feet of glass he needs to cover the entire pyramid.
3.8 ft
3 ft
Question content area bottom
Part 1
He needs
  
enter your response here ftsquared of glass to cover the entire pyramid. use forumla Now, find the area of each face. Since four of the faces of the pyramid are triangles that are equal in​ size, begin by finding the area of one of the triangular faces.Use the net and the formula Aequalsone half bh
to find the area of a triangular face.​Next, find the area of the square face. Use the net and the formula Aequalss Superscript 2.Finally, add the areas of all the faces to find the surface area of the square pyramid. Remember that the area of each triangular face is the same.

Answer 1

Assume the square base side = 3 ft and the slant height of each triangular face = 3.8 ft.

1) Area of one triangular face = (1/2) · base · height = (1/2) · 3 · 3.8 = 5.7 ft².
2) Four triangular faces: 4 · 5.7 = 22.8 ft².
3) Area of the square base = side² = 3² = 9 ft².
4) Total surface area = 22.8 + 9 = 31.8 ft².

He needs 31.8 square feet of glass.