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Prism and Pyramid

Prism

A prism is a polyhedron, with two parallel faces called bases. The other faces are always parallelograms. The prism (a 3D figure) is named by the shape of its base.
A prism is a polyhedron that has two congruent parallel polygons as its bases. The other faces of a prism are parallelograms, most often rectangles. A prism is named for the shape of its base. For instance, this prism is called a hexagonal prism, because its two bases are hexagons.
Lateral Surface Area : Formula

Lateral Surface Area = perimeter of the base x height

Total Surface Area : Formula

Total Surface Area = perimeter of the base x height + 2 x area of base
Volume of the prism : formula

Volume = Base Area x Height
Pyramid

a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. A pyramid with an n-sided base has n + 1 vertices, n + 1 faces, and 2n edges.

Lateral Surface Area : Formula

Lateral Surface Area =
1/2
x perimeter of base x slant height

Total Surface Area : Formula

Total Surface Area =
1/2
x perimeter of base x slant height + base area

Volume of the pyramid : formula

Volume =
1/3
x base area x height