Answer:
Height of the building is 32.67 meters.
Step-by-step explanation:
Volume of a Pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]
Side of the square base of the Memphis pyramid = 180 m
Height of the pyramid = 98 meters
Volume = [tex][\frac{1}{3}(180)^2](98)[/tex]
= 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 = [tex]\frac{1058400}{180\times 180}[/tex]
h = 32.67 meters
Therefore, height of the building in the prism shape is 32.67 meters.
