Contrary to popular belief, the Great Pyramid is an eight-sided building, not a four-sided construction. From base to tip, each of the pyramid's four sides is evenly separated by extremely tiny concave indentations. The measurements of these corners are 52.5 degrees, whereas the measurement of a right angle is 90 degrees.

In fact, all the pyramids in Egypt (with the exception of the Pyramids of Giza) are eight-sided. The reason why the Great Pyramid of Giza has four sides instead is because it was built as a tomb for **the Egyptian pharaoh** Khufu. In order to keep visitors away from **his body**, Khufu had all but one side of the monument built with smooth stone surfaces. The only side that was left natural wood is what makes the pyramid have four rather than eight sides.

Also worth mentioning is that the Sphinx is also an eight-sided structure. However, like the Great Pyramid, most of **its sides** are made of smooth stone, with only one side carved from limestone.

Overall, these ancient monuments show that Egyptians were very aware of the number eight and how it should be divided between **two sets** of four. This shows that there must have been some significance to this number for them.

Isn't the Great Pyramid of Giza's foundation square? No, not exactly. These holes are called "bastions" and they contain the remains of some of **the original trees** that stood on the site before the pyramid was built.

In fact, the foundation is made up of **large stones** set into the ground with **only very small gaps** between them. This method of construction allows rain to drain through the cracks between the stones down into the valleys below where it can be collected to fill in any low areas in the yard or garden.

The corners of the foundation are marked by tall stones known as "corner blocks." They stand about one meter (three feet) high and are used to indicate which way is north. The Great Pyramid was originally painted red, but now is mostly gray or white.

The Great Pyramid's concavity of the core, which makes the monument eight-sided rather than four-sided like every other Egyptian pyramid, is a remarkable characteristic. That is, from base to top, its four sides are hollowed down or depressed along their center lines. The central axis runs through the base and reaches the summit via a steep incline. This is in contrast to the four other regular Egyptian pyramids, which have **smooth tops** without any inclination.

In addition to its being eight-sided, the Great Pyramid is also unique in that it has **a much wider base** than most other Egyptian pyramids. The base measures about 250 feet on a side while the height of the structure is about 481 feet. Its volume is estimated to be within 15% of that of a sphere with a radius of about 250 feet.

The reason for the Great Pyramid's unusual shape is not known with certainty but there are several theories. One theory is that the walls of the pyramid were built as steps with each level slightly lower than the previous one. Thus the builders would have had access to **higher grounds** as they added more levels to the pyramid. This would account for the difference in width between the base and the pinnacle. Another theory is that the pyramid was designed to be a giant telescope used by astronomers at Giza who wanted to coordinate the movement of the Moon and Sun to ensure good farming seasons.

The Great Pyramid of Egypt, as seen in the diagram at the top of the page, has a square base and four triangular sides, and this is what most people think of when they hear the term "pyramid." However, from **a mathematical standpoint**, the base might have **any number** of sides, three or more. The pyramid itself may have any number of sides too, including infinite ones. There are actually two types of pyramids: those with three sides (triangular) and those with **four (square**). It all depends on how you define a side of the pyramid.

There are several ways to calculate the number of sides of a pyramid. The most obvious is to look at the picture of the Great Pyramid of Giza and count the number of sides. This would give us eight, because it's a cube with its edges right angles. But if we look closer, we can see that some of the corners are rounded rather than sharp, which means that some of the sides could be longer than others. If we assume that the longest side is 10 meters (33 feet), then the pyramid has between three and ten sides depending on how you count them. The important thing is that they all add up to exactly 100 degrees, so they're not missing anything out by rounding some of the corners.

Here's another example: the Temple Mount in Jerusalem has an area of about 1 million square feet (93,000 m2).

The pyramid's base is a triangle, and its lateral faces are likewise triangles. A rectangular pyramid's net is made up of one rectangle and four triangles. The lateral surfaces of the base are equal in area to **the top surface**, which makes them both equal to half of **the base surface area**.

The base of **a triangular pyramid** is a right triangle, with the third side equal to the height of the pyramid. The area of the base is therefore equal to one-third of the volume of the pyramid.

The base of a square pyramid is a square, and the volume of the pyramid is equal to the area of its base times the height of the pyramid. Therefore, the volume of a square pyramid is equal to its base area squared plus its height.

The base of **a hexagonal pyramid** is a circle with **six smaller circles** inside it. The area of the base is therefore equal to one-sixth of the volume of the pyramid.

The base of **an octagonal pyramid** is a circle with two parts that are equal in size. The area of the base is therefore equal to one-eighth of the volume of the pyramid.

The base of a decagonal pyramid is a circle with ten small circles around it.

Pyramids feature chambers within and triangle outside surfaces (faces) that appear to connect at one place at the summit. Most pyramids, including their bases, have five faces in total, while there are four-faced pyramids with triangular or non-quadrilateral bases. The six-sided pyramid is called a stellate pyramid.

There are two types of four-faced pyramids: those with **square bases** (such as Giza) and those with rectangular bases (such as Khufu). In both cases, four sides meet at **a single point** - **the top center** of the pyramid. However, for a pyramid with a square base, the remaining side of the square connects the four corners of the base together. For a pyramid with a rectangular base, however, only three sides meet at the top center - leaving out the remaining side of the rectangle. These are important distinctions because they affect how we can estimate the volume of the pyramid.

Four-faced pyramids were common in ancient Egypt. They are found on many monuments, including those of Pharaohs Khufu, Chephren, Menkaura, Nebka, and Unas. Some modern scholars believe that these figures represent the Egyptian gods in miniature.

In conclusion, a four-faced pyramid has four chambers within **its body** and a single central chamber at the summit.