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Pyramid

✨ The eternal monument

A pyramid is a three-dimensional geometric solid with a polygon as its base and triangular faces that meet at a single point called the apex. The shape of the base determines the name of the pyramid. For example, a pyramid with a square base is called a square pyramid, while one with a triangular base is a triangular pyramid.

The triangular faces connect the edges of the base to the apex. A pyramid has one more vertex than the number of vertices in its base. Its height is the perpendicular distance from the apex to the plane containing the base. This is different from the slant height, which measures the distance along one of the triangular faces.

The volume of a pyramid is calculated with the formula V = (B × h) / 3, where B is the area of the base and h is the perpendicular height. The factor 1/3 means that a pyramid with the same base and height as a prism has one-third of the prism's volume. For example, if the base area is 30 cm² and the height is 9 cm, the volume is 90 cm³.

Pyramids are important in geometry because they help illustrate how flat shapes can form three-dimensional solids. They also appear in architecture and engineering. The famous pyramids of ancient Egypt are large stone structures with square bases, although real pyramids can have many different base shapes.

💡 Did you know?

Did you know that the largest pyramid in the world is the Great Pyramid of Giza in Egypt? It was built with more than 2 million giant stone blocks! Each block weighs as much as a small elephant. The engineers of the time were true geniuses of geometry.

There is a very famous and modern pyramid in Paris: the Louvre Pyramid! It serves as the entrance to the world's largest museum. Unlike the pyramids of Egypt which are made of stone, this one is made of hundreds of shiny glass rhombuses that let in daylight.

Why is the pyramid shape so strong? It's thanks to gravity! Since the base is wide and the apex is small, the weight is pulled toward the center of the base. That's why children often sit in a circle or in a 'human pyramid' to do spectacular stunts!