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

10 you would take 50/ .2

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584