The Pyramid Arena in Memphis, Tennessee is about 98 meters tall
and has a square base with a side length of about 180 meters. A prism-shaped
building has the same square base as the Pyramid Arena. What is the height of
the building if it has the same volume as the Pyramid Arena?

Height of the building is 32.67 meters.

Step-by-step explanation:

Volume of a Pyramid =

Side of the square base of the Memphis pyramid = 180 m

Height of the pyramid = 98 meters

Volume =

             = 1058400 cubic meters

Another building having the same base and volume, is in the shape of a prism.

Therefore, Volume of the pyramid = volume of the building(prism) = 1058400 cubic meters

Volume of the prism = (Area of the base) × height

1058400 = (180)²h

h =

h = 32.67 meters

Therefore, height of the building in the prism shape is 32.67 meters.  

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