## prism

### A prism is a three-dimensional geometric shape with two identical polygonal bases that are parallel and congruent to each other

A prism is a three-dimensional geometric shape with two identical polygonal bases that are parallel and congruent to each other. The remaining faces are rectangles, connecting the corresponding vertices of the bases. The shape of the bases determines the type of prism. For example, if the bases are triangles, it is called a triangular prism; if the bases are squares, it is called a square prism; and so on.

Prisms have several important characteristics:

1. Number of Faces: A prism has three pairs of rectangular faces, where each pair is parallel and congruent to each other. It also has two polygonal bases.

2. Edges: A prism has a total of 9 edges. The edges are where the faces of the prism meet.

3. Vertices: A prism has 6 vertices, where three edges meet.

4. Base Area: The base area of a prism is the area of one of its bases. The area is calculated differently depending on the shape of the base. For example, the base area of a triangular prism is calculated by multiplying the length of the base by the height and dividing it by 2.

5. Lateral Surface Area: The lateral surface area of a prism refers to the combined area of all the rectangular faces of the prism. It excludes the bases. For example, in a rectangular prism, the lateral surface area is given by multiplying the perimeter of the base by the height of the prism.

6. Total Surface Area: The total surface area of a prism includes both the bases and the lateral faces. It is calculated by adding the base area to the lateral surface area.

Prisms are commonly seen in daily life. Examples include a rectangular box, a triangular prism-shaped pencil, and buildings with rectangular windows. Understanding prisms and their properties is important in geometry and helps in applications such as architecture, engineering, and other fields where three-dimensional shapes are involved.

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