Question

The Louvre Pyramid is a metal and glass structure that serves as the main entrance

to the Louvre Museum in Paris, France. The pyramid has a volume of 8820 cubic meters.
The base is a square with sides that are 35 meters long.
Calculate the surface area of the Louvre Pyramid.


3215 m^2
3171 m^2
1946 m^2
1864 m^2

Answer 1

1946

Explanation:

Answer 2

Total surface area is 3171m²

Explanation:

First given the volume v= 8820m³

And the base a= 35m

We can solve for the height h using the formula

V=a²(h/3)

8820= 35²*h/3

h= (8820*3)35²

h= 26460/1225

h= 21.6m

We can now solve for the total surface area using

A= a²+2a√a²/4+h²

Substituting our data we have

A= 35²+2*35√35²/4+21.6²

A= 1225+70√1225/4+466.56

A=1225+70√772.81

A=1225+70*27.79

A= 1225+1945.9

A= 3170.9

Approximately

A= 3171m²