The Pyramid Arena is located in Memphis, Tennessee. It is in the
shape of a square pyramid, and the lateral faces are made almost
completely of glass. The base has a side length of about 600 ft and
the lateral faces have a height of about 440 ft. What is the total
area of the glass in the Pyramid Arena?

528000 ft²

Step-by-step explanation:

The Pyramid Arena has a shape of a square pyramid. A square pyramid is a pyramid with a square base and the top point is directly above the center of the base. It consist of 5 faces (base and 4 triangles), 8 edges and 5 vertices.

Given:

length of base (b) = 600 ft and height of lateral face (h) = 440 ft.

Since the lateral faces are made of glass, the area of each lateral face is the same as the area of a triangle with base same as base length and height same as height of lateral face.

Therefore, area of each lateral face = 1/2 × b × h = 1/2 × 440 × 600 = 132000 ft²

The lateral faces are made almost  completely of glass and they are 4 lateral faces, therefore the total  area of the glass in the Pyramid Arena = 4 ×  132000 ft² = 528000 ft²

6 meters

step-by-step explanation:

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