Correct triangular prism: specifications, formulas, sweeps

Correct triangular prism

Correct triangular prism – prism, which is based on two right triangles, and all side faces are strictly perpendicular to these bases.

Correct triangular prism

Wedge – it is a polyhedron, the two faces of which are equal triangles, lying in parallel planes, and other facets (side faces) – parallelogram, which have common sides with these triangles.

Correct triangular prism – it is a triangular prism based on right triangles (all sides of which are equal, the angles between the sides of the base are 60 C), and the side faces are rectangles.

An interesting fact! Historical concept “prism” originated from Latin and meant – something sawn off. The animation demonstrates how two parallel planes cutting off the excess form the two bases of the prism. From one blank you can get the right prism, and an inclined prism.

The bases of the prism are equal right triangles.
The bases of the prism are equal right triangles.

The side faces of the prism are rectangles.

The side faces of the prism are rectangles.

The side edges of the prism are parallel and equal.
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 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 side surface and twice the area of ​​the base.  The formula for the surface area of ​​a triangular prism:
The area of ​​the total surface of the prism is equal to the sum of the area of ​​its side surface and twice the area of ​​the base.

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

  • The area right triangular prism
The volume of the prism is equal to the product of its height and the area of ​​the base.  The formula for the volume of a right triangular prism:
The volume of a prism is equal to the product of its height and the area of ​​the base.

The formula for the volume of a right triangular prism:

  • The formula for the volume of a right triangular prism
The right triangular prism can be inscribed in the cylinder .
The right triangular prism can be inscribed in the cylinder

The formula for the radius of a cylinder inscribed in a triangular prism:

  • The formula for the radius of a cylinder inscribed in a triangular prism:
The bipyramid is a double polyhedron of a straight prism.
The bipyramid is a double polyhedron of a straight prism.
Download a scan of a right triangular prism to print on an A4 sheet:

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

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

DOWNLOAD

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

DOWNLOAD

For materials: https://mnogogranniki.ru/

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