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# A quadrangular prism is a polyhedron, the two faces of which are equal squares lying in parallel planes, and the remaining faces (side faces) are parallelograms that have common sides with these.

## A regular quadrangular prism is a quadrangular prism whose bases have squares and the side faces are rectangles. Prism bases are equal regular squares. The side faces of the prism are rectangles. The side edges of the prism are parallel and equal. The dimensions of the prism can be expressed in terms of side length a and height h. The total surface area of ​​the prism is equal to the sum of the area of ​​its lateral surface and the doubled area of base.

Formula of the surface area of ​​a quadrangular prism:  The volume of a prism is equal to the product of its height and the area of ​​the base.

Formula of volume of a regular quadrangular prism:  The regular quadrangular prism can be inscribed into the cylinder.

The formula for the radius of the cylinder:  The dual polyhedron of a direct prism is a bipyramid. Historically, the concept of "prism" arose from Latin and meant - something sawed.

The animation demonstrates how two parallel planes cutting off the excess form the two bases of the prism. From a single workpiece, you can get both the regular prism and an oblique prism. Geometric dimensions of finished prism (mm):
Length = 68
Width = 68
Height = 52 Geometric dimensions of finished prism (mm):
Length = 59
Width = 59
Height = 83 Geometric dimensions of finished prism (mm):
Length = 43
Width = 43
Height = 110

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