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Regular quadrangular prism

Regular quadrangular prism

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 squares.

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 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 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:

quadrilateral prism surface area formula
quadrangular prism volume

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:

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.

 

Regular quadrangular prism
net Regular quadrangular prism
 

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

 

Regular quadrangular prism
net Regular quadrangular prism
 

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

 

Regular quadrangular prism
net Regular quadrangular prism
 

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

 

 

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