The Pyramid Arena in Memphis, Tennessee, is a square pyramid with base edge lengths of 200 yd and a
height of 32 stories. Estimate the area of the glass on the sides of the pyramid by rounding the slant
helght of the building to the nearest 10 feet. (Hint: 1 story 10 ft)
The area of the glass on the sides of the pyramid is approximately

Respuesta :

Answer:

526360 ft²

Step-by-step explanation:

3 feet are equivalent to 1 yard, then 200 yards are equivalent to 200*3 = 600 ft

1 story is equivalent to 10 feet, then 32 stories  are equivalent to 10*32 = 320 ft.

The area of the glass, that is, the area of the 4 triangles of the pyramid, is calculated by :

Area = a*√(a²+ 4*h²)

where a is base edge and h is height. Replacing with data:

Area = 600*√(600²+ 4*320²) ≈ 526360 ft²