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THE LOUVRE PYRAMID
Solution:
1. The perimeter is a square, so we can assume that the perimeter is equal 4⋅side ⇔ 4⋅34 = 136.
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The Louvre Pyramid have a perimeter of 136 meters.
2. We know that the base is a square, thus we can deduce the formula of the base surface area : side⋅side ⇔ 34⋅34 = 1156 m².
The Louvre Pyramid have a base surface area of 1156 square meters.
3. The Louvre is a pyramid, the formula for the area of a pyramid is : https://www.geogebra.org/m/jgnvkxdwf
The Louvre Pyramid reaches the height of 21.6 metres and its square base has sides of 34 metres.
Calculate:
1. The perimeter of the base
2. The base surface area
3. The total area of the pyramid.
Mariela D., Gaudeamus High School, Moldova
Thus we can calculate :
The total area of the Louvre Pyramid is 8323.2 cubic meters.
By Thaïs CLÉMENT Brocéliande High School, France
Some of the particulars to this construction are that it is comprised of 18,038 pieces of metal held together by some 2.5 million rivets. The iron from which it was fashioned has a mass of 7300 tonnes. The top of the tower (the sun-facing side) can shift up to 18 cm due to thermal expansion. The density of the wrought iron used to create this tower is 7.70 g/cm3 and was allegedly sourced from Reșița in Romania.
If one were to dismantle the Eiffel Tower and melt it to create an iron sphere, what would be its radius?
IF the top of the Eiffel Tower is seen from a distance of 600 meters at an angle of 30 degrees, find the tower height.
https://opentextbc.ca/intermediatealgebraberg/chapter/chapte r-4-7-mathematics-in-life-the-eiffel-tower/
The situation and the data
The Statue of Liberty, erected in 1886, is 46.50 m high without its base and 93 m high with base. A tourist in the front of a boat is looking at the statue. His eye is 5 m above the sea. From what angle does the tourist see the Statue of Liberty?
The situation is represented on a GeoGebra worksheet as follows:
- the statue and its base are assimilated to two vertical segments carried by the same line,
- The observer is considered to be a vertical segment representing the height of his eye above sea level.
How does the angle of vision vary as the boat approaches the statue?
Alwena.BP, Brocéliande High School, France
Daria, Jean Monnet High School, Romania
