We have up till now found all the dimensions we need, and at the same time done the calculations which we need in order to create the pyramids ourselves.
The Great Pyramid
Base length sides: 23.05 cm
Height: 14.65
Edge: 21.9 cm
Slant height: 18.6
The Menkaure Pyramid
Base side length: 10.5 cm
Height: 6.55 cm
Edge: 8.7cm
Slant height: 7cm
The Khafre Pyramid
Base side length: 21.45 cm
Height: 14.35 cm
Edge: 17.8 cm
Slant height: 14.2 cm
The Queens Pyramid
G1A
Base side length: 3.5 cm
Height: 2.32 cm
Slant height: 2.91 cm
G1B
Base side length: 4 cm
Height: 2.65 cm
Slant height: 3.32 cm
G1C
Base side length: 3.5 cm
Height: 2.32 cm
Slant height: 2.91 cm
fredag 31. august 2012
søndag 26. august 2012
So far - Anisha
We now think that we have enough information to get started with the maths of the project, even though we have only spent a double lesson to gather the info. We have decided to create a plan on exactly where the position of all the pyramids will be, which we think will make it easier for us when placing the pyramids on the real base. We have not yet decided upon the material we will use, but it will most likely be cardboard. The group is working well together, and that is very good!
fredag 24. august 2012
Dimensions of the Pyramids
These are the dimensions of the great pyramid: Made by Marie and Lodin on August 24th 2012.
Great Pyramid:
Great Pyramid:
The
base of the pyramid covers 55,000m2 (592,000 ft2) with each side
greater than 20,000m2 (218,000 ft2) in area.
The
length of a base is 9131 Pyramid Inches from corner to corner in a
straight line.
The
length of a base side at the base socket level is 9,131 Pyramid
Inches or 365.24 Pyramid Cubits.
The
length of a base side at sidereal socket level is 9,131.4 Pyramid
Inches or 365.256 Pyramid Cubits.
The
volume of the pyramid is: V = 1/3 base area x height =
161,559,817,000 cubic Pyramid Inches = 10,339,828.3 cubic Pyramid
Cubits. [(5,813.2355653 Pyramid Inches)/3 * 9 131 Pyramid Inches * 9
131 Pyramid Inches]
The
length of the perimeter at the sidereal socket level is 36,525.63629
Pyramid Inches.
The
perfect formula height of the pyramid including the missing apex is 5
813.2355653763 Pyramid Inches, calculated from perimeter of base
divided by 2 Pyramid Inches.
The
height to the missing apex is 5,812.98 Pyramid Inches.
The
Pyramid Cubit or Sacred Cubit = 25 pyramid inches.
http://www.timstouse.com/EarthHistory/Egypt/GreatPyramid/interestingfacts.htm
The Pyramid of Khafre:
Khafre's Pyramid, or the 2nd Pyramid, is easily recognisable by the layers of its original casing stones that still remain near its summit and this, along with the fact that it actually stands on a higher part of the plateau, gives the impression that it is taller than the Great Pyramid. An optical illusion, as it is only 136m (446 ft) tall, with sides of 214.5m (704ft), a surface area of 11 acres and an angle of 53 degrees. It also has lost some of its original height through the years, once being 143.5m (471ft) tall.
The Pyramid of Menkaure:
Khafre's son, Menkaure, built the smallest of the 3 main Pyramids on the Giza Plateau. This one was only a mere 65.5m (215ft) tall, nowadays 62m (203ft), with sides of only 105m (344ft) and an angle of 51.3 degrees. It is thought that this Pyramid was altered during its construction, and made a lot bigger than originally planned. The original, smaller Pyramid had a simple descending corridor and burial chamber, but when it was enlarged, a new corridor was built with 3 portcullises and a small panelled chamber. Later still, another burial chamber, along with a storeroom were added at a lower level. This Pyramid, like its 2 neighbours, has a north facing entrance.
The Pyramid of Khafre:
Khafre's Pyramid, or the 2nd Pyramid, is easily recognisable by the layers of its original casing stones that still remain near its summit and this, along with the fact that it actually stands on a higher part of the plateau, gives the impression that it is taller than the Great Pyramid. An optical illusion, as it is only 136m (446 ft) tall, with sides of 214.5m (704ft), a surface area of 11 acres and an angle of 53 degrees. It also has lost some of its original height through the years, once being 143.5m (471ft) tall.
The Pyramid of Menkaure:
Khafre's son, Menkaure, built the smallest of the 3 main Pyramids on the Giza Plateau. This one was only a mere 65.5m (215ft) tall, nowadays 62m (203ft), with sides of only 105m (344ft) and an angle of 51.3 degrees. It is thought that this Pyramid was altered during its construction, and made a lot bigger than originally planned. The original, smaller Pyramid had a simple descending corridor and burial chamber, but when it was enlarged, a new corridor was built with 3 portcullises and a small panelled chamber. Later still, another burial chamber, along with a storeroom were added at a lower level. This Pyramid, like its 2 neighbours, has a north facing entrance.
The Great Sphinx:
The southernmost of the three pyramids is G 1c.
According to Mark Lehner, G 1c, lying about 3.8 meters south of G 1b and slightly offset to the east, is the most complete
The Queen's Pyramid dimensions (June, Marie and Lodin)
The three Queen's pyramid lie 56.2m (=107 cubits) from the eastern edge of Khufu's pyramid. Like Khufu's pyramid all satellite pyramids have an angle of inclination of nearly 52°.
The ground where those pyramids were built is sloping slightly to the south, this is probably the reason, why their corners are not exactly right-angled.
The side lengths measured are from 45.2 to 49m (87 to 90 cubits). Some Egyptologists calculate 88 cubits which would be a fifth of the side length of Khufu's pyramid. They think that, notwithstanding the sloping ground the builders wanted that the tips of the pyramid would be optically on the same height (G1a = 56 cubits=29.3m, G1b = 58 cubits=30.25m).
G 1c is also the largest of the three Queen's Pyramids of Khufu, with a base length of 46.25 meters. It would have originally stood 29.62 meters high.
The Great Sphinx, or as
the ancients knew it, “Shesib Ankh” or “the
living image”, has to be one of the most
recognizable constructions in history. Think
of the Sphinx and you
automatically think of
Egypt and the Giza Plateau.
Sculpted from soft sandstone, many believe that it would have disappeared long ago had it not been buried in the sand for so many long periods in its lifetime. The body is 60m (200ft) long and 20m (65ft) tall. Its face is 4m (13ft) wide with eyes measuring 2m (6 ft) high. It faces the rising sun, and was revered so much by the ancients, that they built a temple in front of it.
The 18th Dynasty King, Thutmose IV installed a stele between its front paws, describing how, when Thutmose was a young Prince, he had gone hunting and fell asleep in the shade of the Sphinx ‘s head. Thutmose had a dream where Ra Hor-Akhty the sun God, talking through the Sphinx, spoke to him, telling the young Prince to clear away the sand because the Sphinx was choking on it. The Sphinx said to him that if he did this, he would become King of Egypt .
automatically think of
Egypt and the Giza Plateau.Sculpted from soft sandstone, many believe that it would have disappeared long ago had it not been buried in the sand for so many long periods in its lifetime. The body is 60m (200ft) long and 20m (65ft) tall. Its face is 4m (13ft) wide with eyes measuring 2m (6 ft) high. It faces the rising sun, and was revered so much by the ancients, that they built a temple in front of it.
The 18th Dynasty King, Thutmose IV installed a stele between its front paws, describing how, when Thutmose was a young Prince, he had gone hunting and fell asleep in the shade of the Sphinx ‘s head. Thutmose had a dream where Ra Hor-Akhty the sun God, talking through the Sphinx, spoke to him, telling the young Prince to clear away the sand because the Sphinx was choking on it. The Sphinx said to him that if he did this, he would become King of Egypt .
http://www.ask-aladdin.com/pyramid.htm
Queens Pyramids:
They seem to have a slope of about 52 degrees, and rise to a height of about one-fifth that of Khufu's pyramids.
G 1a is the northernmost of the small pyramids, lying about 61 meters from the base of Khufu's pyramid.
The base of G1a measures 49.5meters, and it would originally stood 30.25 meters high. Today it is stripped of much of its original casing, and has lost almost two thirds of its height.
G1b It is located about ten meters south of G 1a, and
lies on the same north-south axis. Its base is about
49 meters square, and its original height would have
been about 30 meters.
According to Mark Lehner, G 1c, lying about 3.8 meters south of G 1b and slightly offset to the east, is the most complete
The Queen's Pyramid dimensions (June, Marie and Lodin)
The three Queen's pyramid lie 56.2m (=107 cubits) from the eastern edge of Khufu's pyramid. Like Khufu's pyramid all satellite pyramids have an angle of inclination of nearly 52°.
The ground where those pyramids were built is sloping slightly to the south, this is probably the reason, why their corners are not exactly right-angled.
The side lengths measured are from 45.2 to 49m (87 to 90 cubits). Some Egyptologists calculate 88 cubits which would be a fifth of the side length of Khufu's pyramid. They think that, notwithstanding the sloping ground the builders wanted that the tips of the pyramid would be optically on the same height (G1a = 56 cubits=29.3m, G1b = 58 cubits=30.25m).
G 1c is also the largest of the three Queen's Pyramids of Khufu, with a base length of 46.25 meters. It would have originally stood 29.62 meters high.
http://www.touregypt.net/featurestories/greatpyramid6.htm
A Grade 10 Maths Project
We are four 10th grade students from IST, and for our maths project we are to create all the pyramids of Giza to scale using our own maths knowledge and by doing research. It would also be good if we can make something to show how huge the pyramids are, eg. Nidarosdomen or Empire State Building.
We will not get much guidance from our math teacher, so it is important that we work hard and do our best. I
We will not get much guidance from our math teacher, so it is important that we work hard and do our best. I
For my group: KEEP GOING :D
Names of the Pyramids
- The Great Pyramid/ Pyramid of Cheops
- The pyramid of Khafre/ Pyramid of Cephren
- The Pyramid of Menkaure/ Pyramid of Mycerinus
- The Great Sphinx
- The Queens pyramids(the 3, besides the great pyramid)
Names of the Pyramids
- The Great Pyramid/ Pyramid of Cheops
- The pyramid of Khafre/ Pyramid of Cephren
- The Pyramid of Menkaure/ Pyramid of Mycerinus
- The Great Sphinx
- The Queens pyramids(the 3, besides the great pyramid)
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