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Regular quadrangular prism

Regular quadrangular prism

 

A quadrangular prism is a polyhedron, the two faces of 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.

quadrangular prism bases

Prism bases are equal to regular squares.

sides of a quadrangular prism

The side faces of the prism are rectangles.

ribs of a quadrangular prism

The side edges of the prism are parallel and equal.

dimensions of a quadrangular prism

The dimensions of the prism can be expressed in terms of side length a and height h.

surface area of quadrangular prism

The prism total surface area is equal to ​​its lateral surface area and the base's doubled area.

The formula of the surface area of ​​a quadrangular prism:

quadrilateral prism surface area formula
quadrangular prism volume

The volume of a prism is equal to the product of its height and base area.

The formula of volume of a regular quadrangular prism:

quadrangular prism volume formula
radius of the cylinder of a quadrangular prism

The regular quadrangular prism can be inscribed into the cylinder.

The formula for the radius of the cylinder:

formula cylinder radius for quadrangular prism
polyhedra dual of quadrangular prism
The dual polyhedron of a direct prism is a bipyramid.
quadrangular prism

Historically, the concept of "prism" arose from Latin and meant - something sawed.

The animation demonstrates how two parallel planes cutting off the excess from the two bases of the prism. From a single workpiece, you can get both the regular prism and an oblique prism.

Regular quadrangular prism
net Regular quadrangular prism
 

Geometric dimensions of the finished prism (mm):
Length = 68
Width = 68
Height = 52

 

Regular quadrangular prism
net Regular quadrangular prism
 

Geometric dimensions of the finished prism (mm):
Length = 59
Width = 59
Height = 83

 

Regular quadrangular prism
net Regular quadrangular prism
 

Geometric dimensions of the finished prism (mm):
Length = 43
Width = 43
Height = 110

 

 

 

 

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