posted by Bob .
The entrance hall to the Louvre Museum
in Paris is a glass and metal pyramid with a surface area of approximately 1980 square on each side . The base of the pyramid is a square that is 35.4 meters on each side. What is the slant height of the pyramid ? Round to the nearest hundredth . The base area is not included in the surface area.
let the slant height of one side be h
then using (1.2)base x height
1980 = (1/2)(35.4)h
h = 3960/(35.4)
= appr 111.86 m
this can't be. According to the given dimensions on the webpage, the base is about 35 by 35 and the height is 21.6 m, for a slant height of 27.8 m
this would give each triangle an area of
for a total of 486.5(4) or 1946 square units
You stated an area of 1980 for each side.
so using your given 1980
area of one triangle = 1980/4 = 495
then (1/2)(35.4)h = 495
h = 27.966
height is 27.97 m