How Many Vertices Does a Square Pyramid Have?
Do you want to know "How many vertices does a square pyramid have?" A square pyramid has five vertices. Vertices are the points that have three or more sides in common. Let's find out all about square pyramids and other pyramids.
A square pyramid is a pyramid that has a square base. Each side of the square supports one of the four sides that reach to the top of the pyramid in a point called the apex. It has eight edges; four where the sides meet each other and four where the sides meet the base. The five vertices can also be called corner points.
Another name for a square pyramid is a pentahedron. That is a polyhedron, a three dimensional object made up of polygons, with five faces. Polygons are shapes made up of straight lines. Pentahedrons are either square pyramids or triangular prism. A triangular prism has two triangular bases and three rectangular sides.
Types of Pyramids
There are many different types of pyramids which are named according to the shape of their base. You already know a square pyramid has a square base, five faces, four triangles, eight edges, and five vertices, which answers the question "How many vertices does a square pyramid have?"
Triangular pyramids have a triangle as a base and the three sides are triangles. They have four vertices, four faces, and six edges, and are also tetrahedrons. Pentagonal pyramids have a pentagon (five sides) as a base, five triangles, six faces, six vertices, and 10 edges.
Another way to classify pyramids is whether they are regular or irregular. Not all pyramids have a regular polygon, like a square or pentagon. If they do have a regular polygon, then they are classified as regular pyramids. If the base is not a regular polygon, then the pyramid is called irregular.
Still another way to group pyramids is where the apex, or top, is located. These two terms are "right" and "oblique." If the apex is directly above the center of the base, then it is called a right pyramid. If it is off center, then the pyramid is an oblique pyramid.
Pyramids of the World
Most people think of the pyramids built by ancient civilizations when they hear the word "pyramid." Also, when you answer questions like "how many vertices does a square pyramid have?" you are reminded of these square pyramids. The tallest pyramid in the world is the Great Pyramid of Giza, which stands at 146.5 meters or 480.6 feet high. It took 2.3 million limestone blocks and 500,000 tons of mortar to construct it. The sides of the square base are 757 feet long, or 230.7 meters. It is big enough to see from the moon with a mass of 5.9 million tons and a volume of 2.5 million cubic meters.
The largest pyramid ever built in the world by volume is the Great Pyramid of Cholula, also called Tlachihualtepetl, in the state of Puebla in Mexico. Even though it is only 66 meters, or 217 feet high, its volume is over 4.45 million cubic meters. The sides of the square base are 450 meters, so its base is much larger than the Great Pyramid of Giza.
Pyramids have been built in many areas of the world, but the most interesting ones are in central and South America and northern Africa, especially Egypt. Some pyramids were built of adobe type bricks while granite was used for some in India and other places. Some pyramids also had flat sides and others had stepped sides. In Mesoamerica, many pyramids had steps on them with temples on the top. Recently, many pyramids have been discovered in Bosnia, Herzegovina, Croatia, Slovenia, Serbia, Italy, Spain, France, and Greece.