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Regular triangular prism

Regular triangular prism

A triangular prism is a polyhedron, the two faces of equal triangles lying in parallel planes. The remaining faces (side faces) are parallelograms that have common sides with these triangles.

A regular triangular prism is a triangular prism whose bases have regular triangles (all sides of which are equal, the angles between the base's sides are 60 degrees), and the side faces are rectangles.

triangular prism bases

The bases of the prism are regular triangles.

sides of a triangular prism

The side faces of the prism are rectangles.

ribs of a triangular prism

The side edges of the prism are parallel and equal.

triangular prism dimensions

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

surface area triangular prism

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

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

triangular prism surface area formula

volume of a triangular prism

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

The formula of volume of a regular triangular prism:

formula of volume of a regular triangular prism
triangular prism inscribed in the cylinder

The regular triangular prism can be inscribed into the cylinder.

The formula for the radius of the cylinder:

formula for the radius of the cylinder of an inscribed triangular prism
dual triangular prism
The dual polyhedron of a direct prism is a bipyramid.
triangular 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 triangular prism
net Regular triangular prism

Geometric dimensions of the finished prism (mm):
Length = 85
Width = 74
Height = 55

 

Regular triangular prism
net Regular triangular prism

Geometric dimensions of the finished prism (mm):
Length = 70
Width = 60
Height = 80

 

Regular triangular prism
net Regular triangular prism
 

Geometric dimensions of the finished prism (mm):
Length = 31
Width = 27
Height = 94

 

 

 

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