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

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 dа ta:

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