The Pentagon
Lauren, Nic, Liza, Janae, and Norah
T.O.C
1. Introduction
2. Historian
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Background
The Purpose of the Pentagon
The Building of the Pentagon
911 and the Pentagon
3. Geometry Expert
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Dimensions
Description of the Building
4. Design
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Pictures
Scale
Rooms in the Pentagon
5. Accountant
● Materials
● Time to Build
● Stores to Buy it at
● How Much Money
6. Conclusion
7. Bibliography
Introduction
The Pentagon is an important historical
building as well as an office for top
military officials.
The Pentagon is five
pentagons (rings) inside
of each other. There is
ring A,B,C,D and E.
Ring A is the one
closest to the center
and is right outside the
courtyard, and the outer
Pentagon consists of
offices.
FactThe Pentagon is
almost 6,500,000
square feet, and
3,700,000 of which
are offices.
Background
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Location- Arlington County,
Virginia
Architects- George
Bergstrom and David J.
Witmer.
John McShain inc. was the
firm behind the building of
the Pentagon
The building was built in 16
months which was much
faster than expected
John
McShain
David
Whitmer
(left) and
George
Bergstrom
(right)
The Purpose of the Pentagon
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The Pentagon was originally built to have a place to house the Department of
Defense.
The Pentagon serves three purposes; A building, institution, and Symbol.
● As a building it contains many offices and security headquarters.
● As an institute it is the home of the Department of Defense.
● As an a symbol it shows the US’s Strength after the 911 attack.
The Building of the Pentagon
September 11,
1941construction
started
January 15,
1943construction
finished
January 16,
1943opened to the
public
September 11,
2001911 attack
September
11, 2002rebuilding
after the
attack
completed
911 and the Pentagon
On September 11, 2001 within
thirty minutes of two planes
hitting the World Trade center a
plane crashed into the Pentagon.
Hitting it on ring E between
corridor 4 and 5. The amount of
people that lived proved the
security of the pentagon but
many people died as well. All of
the people on the plane died as
well as 125 occupants from the
Pentagon.
Geometric Dimensions
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Surface area- 653,555 square feet
volume-11,594,300 ft3
interior- 63,900 feet
area- 523 acres
square feet total- 6,500,000
Description of Building
❏
The Pentagon building in Arlington County, Virginia is a 3D object called a pentagonal
prism. If it was a polygon, it would be a pentagon (hence the building’s name). The
Pentagon can be divided into 3 equilateral triangles and 2 right triangles. Each side is
920 feet, because a pentagon has five equal sides. The building has interior and exterior
walls, the interior walls which form a pentagon have a surface area of 255,600 feet and
the exterior walls have a surface area of 397,955feet. Which makes the total surface
area 653,555 feet. To find the surface area you would have to use the formula hp+2B.
The variable h, means height which is 71 feet. The variable p, means the perimeter of
the base which is 4,605 feet. The variable B stands for the area of the base which is
163,300 feet. When you add those together you get the surface area of the exterior
walls. You use the same formula for the interior walls and you get the surface area of
the interior walls. Then you add those together and get the total surface area. To find
the volume you use the formula v=Bh. The variable B, as we said earlier means, the
area of the base, which is 163,300. The variable h, means height, which we also said
earlier, is 71. When you multiply those together you get the volume of 11,594,300 feet
Model Pictures
Scale
The scale we used is 920
ex.
920 ft. / 920=1 foot per side ← side length
36
t.
0f
0
Ring E
360 ft.
t.
50 ft
.
50 ft
.
50 ft
.
50 ft
.
ft.
Ring D
360 f
360
Ring A
Ring B
Ring C
50 ft
Court Yard
ft.
.
36
Rooms in the Pentagon
The building contains many offices as well as store
fronts such as;
● Burger King
● Chipotle
● Baskin Robbins
● Taco Bell
● Bank of America
Most of the rooms are offices 3,705,793 square feet of
them actually. But the place does contain 284
restrooms and 691 water fountains.
Materials
❏ The Pentagon was created with 680,000
tons of mixed sand, gravel, and concrete.
There were 41,492 pilings needed to support
the building.
Time to Build
If 1,000 workers are hired to work on the
construction of the Pentagon for six days a
week, and can build 250 square feet a day, it
would take them 202 days (34 weeks) to build
it.
Stores to Buy Materials
❏
Home depot
- Cement
- Gravel
❏
Lowes
- Sand
- Pilings
❏
Empire Cat
- Equipment Rentals
How Much Money?
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If a group of four workers can work for $42.50, and we enroll 1,000
workers, we have to pay them $10,625 each day (all of them- not each).
For the entire building time, we pay them $3,219,375.
Sand (included price of gravel and cement) costs $4.15 per 55 pounds,
therefore costing $166 for every ton. 680,000 tons = $112,880,000 overall.
Pilings/rods cost $8.50 each (per say) to install one. There are 41,492
pilings in all so the end price is $352,682.
Equipment to build the Pentagon can be rented for $208 a day (3
machines). If we rent 12 machines it would be $832 each day for 202 days.
Overall it would cost $168,064.
Our overall cost is $116,620,121
Bibliography
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http://history.defense.gov/pnt_history.shtml
http://www.lowes.com/cd_Concrete+Pad+Calculator_100901113_
http://www.lowes.com/Concrete-Cement-Masonry/Concrete-Masonry-Products/Sand/_/N-1z11pty/pl#!
http://www.greatbuildings.com/buildings/The_Pentagon
http://www.empire-cat.com/
http://easycalculation.com/area/learn-penta-prism.php
http://www.mathopenref.com/constinpentagon.html