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.

Answer 1

Assuming the base side is 3 ft and the slant height of each triangular face is 3.8 ft:

Area of one triangular face = (1/2)·base·height = (1/2)·3·3.8 = 5.7 ft²
Area of four triangular faces = 4·5.7 = 22.8 ft²

Area of the square base = side² = 3² = 9 ft²

Total glass needed = 22.8 + 9 = 31.8 ft²

He needs 31.8 ft² of glass to cover the entire pyramid. (If the base will sit on a surface and does not need covering, use 22.8 ft² instead.)