surface area and volume of twin towers and eiffel tower

The Eiffel Tower

By: Maria Teixeira Duarte

Where is the Eiffel Tower found?

• The original Eiffel Tower is located in Paris (France), since it’s so appriciated they have made replicas all around the world, including China, USA and many more, the replicas are usually in a different scale, colours etc..

When was it built?

• They started building the Eiffel Tower in 1887 and finshed in 1889.

Who built it?

• The main person that built the Eiffel Tower was Gustave Eiffel but obviously in it’s production were many other people were involved.

What is it’s function?

• The Eiffel Tower is used as a place to see Paris from a good veiw, monument, raise money and is now an attraction for torrists.

Surface Area

Faces

• The Eiffel tower has 4 Trianguler faces (Face a,b,c and d), we need to find the the area of one and then times it by 4.

• We then need to calculate the base (Face e), since it’s a square we need to times the base of Face a and times it by it’s self.

Face ‘a’Face ‘b’

Faces ‘c’ and ‘d’

Face ‘e’

324m

100.584m

To find the surface of a triangle we have to do

=16,294.608m

Calculating Face ‘a’

Calculating Face ‘e’:

100.584m

To find the surface area of a square wehave to do WxH, since a square has equal sides we just have to times a side by it’s self which equals 100.584mx100.584m= 10,117.14106m²

Adding all the faces together

• Since face a is equal to faces b,c and d we need to times face ‘a’x4=65178.43m²

• Now we need to add faces ‘a’,’b’,’c’,’d’ and ‘e’ together

• TSA=65178.43m²+10,117.14106m²=75295.57106m²

Volume

To find the total volume we have to do the area of the base time the height dvided by 2 which is 324x10,117.14106m²/2=1638976.852m³

The Twin Towers

By Maria Teixeira Duarte

Where is the Twin Towers found?

• The Twin Towers were found in New York, USA. They suffered an accident september of 2000.

• The constructed started on 1968 and was completed on 1970

When was it built?

Who built it?

Owner: Port Authority of New York & New JerseyArchotect: Minoru Yamasaki & Emery Roth & SonsEngineer: Leslie E. Robertson Associates

Surface Area

Faces• The Twin Towrs were a

cuboid, this means they had 6 faces. ‘a’, ‘b’, ‘c’ and ‘d’ anr the same and ‘e’ and ‘f’ are also the same.

Face ‘a’

Face ‘e’

Calculating face ‘a’:

Face ‘a’

415m

64m

Surface area of face ‘a’ = WxH=64mx415m=26560m²

Calculating face ‘e’:

64m To find the surface area if a square we need to times one of it’s sides by itself. In this case 64mx64m= 4096m²

Finding the TSA

• Adding all the faces• Face ‘a’ times 4= 16384m²• Face ‘e’ times 2=53120m²• So these two together = 69504m²

Volume

• To find the volume we have to calculate the LxWxD=64mx64mx415m=1699840m³

I hope you enjoyed!!! Thankyou

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