Growing with Applied Mathematics Experiences (G.A.M.E.)

Geometry in my country

Cite scolaire Broceliande, France image

About….

The Louvre Pyramid is a cultural monument made of glass and metal, located in the middle of the Napoleon courtyard of the Louvre Museum in Paris. It houses the main entrance to the museum.

It was commissioned by François Mitterrand in 1983. It was designed by the Chinese-American architect Leoh Ming Pei.

The Louvre Pyramid has a square base. One side of the square measure 35,42m. And the height of the monument is 21.64m. The 4 ridges that start from the summit measure 33.14 metres.

1- Calculate the volume of the pyramid.

Calculations

The volume of a square-based pyramid is equal to one third of the area of its base multiplied by the height of the pyramid.

We start by calculating the aera of the bases :

A = 35,42*35,42 = 1254.5764 m²

Then, we calculate :

1/3 x 1254.5764 = 418,1921 m

Finally, we calculate the volume of the pyramid :+ = height of the pyramid x square-based pyramid is equal to one third of the area of its base

21,64 x 418,1921 = 9049,677 m3