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Illustration of a right prism - a prism whose lateral edges are perpendicular to its bases.

Right Prism

Illustration of a right prism - a prism whose lateral edges are perpendicular to its bases.

Illustration of a right rectangular prism with the height greater than the length and width. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism with the height greater than the length and width. The bases…

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces…

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles…

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles…

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces are congruent rectangles.

Right Rectangular Prism

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces…

Illustration of a right rectangular prism with the height greater than the length and width. The bases are congruent rectangles and the opposite faces are congruent rectangles.

Right Rectangular Prism

Illustration of a right rectangular prism with the height greater than the length and width. The bases…

Illustration of a right section of a prism.

Right Section of Prism

Illustration of a right section of a prism.

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal polygons.

Sections of Prism

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal…

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal polygons.

Sections of Prism

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal…

Illustration of a skewed octagonal prism. The prism is non-right.

Skewed Octagonal Prism

Illustration of a skewed octagonal prism. The prism is non-right.

Illustration of a skewed pentagonal prism. The prism is non-right. The hidden edges are shown.

Skewed Pentagonal Prism

Illustration of a skewed pentagonal prism. The prism is non-right. The hidden edges are shown.

Illustration of a skewed pentagonal prism. The prism is non-right. The hidden edges are shown.

Skewed Pentagonal Prism

Illustration of a skewed pentagonal prism. The prism is non-right. The hidden edges are shown.

Illustration of a skewed pentagonal prism. The prism is non-right.

Skewed Pentagonal Prism

Illustration of a skewed pentagonal prism. The prism is non-right.

Illustration of a square prism; a prism whose bases are squares.

Square Prism

Illustration of a square prism; a prism whose bases are squares.

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped decagons and the faces are rectangular.

Star-Shaped Decagonal Prism

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped…

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped decagons and the faces are squares.

Star-Shaped Decagonal Prism

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped…

Side view of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped decagons and the faces are squares.

Star-Shaped Decagonal Prism

Side view of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped…

Illustration of a pentagonal prism showing, "If a piece of paper is fitted to cover the convex surface of a prism or a cylinder, and then unrolled, its form will be that of a rectangle, as ABCD."

Surfaces Of A Prism

Illustration of a pentagonal prism showing, "If a piece of paper is fitted to cover the convex surface…

Illustration of a triangular prism - a prism whose base is a triangle.

Triangular Prism

Illustration of a triangular prism - a prism whose base is a triangle.

Illustration of a triangular prism; a prism whose bases are triangles.

Triangular Prism

Illustration of a triangular prism; a prism whose bases are triangles.

Illustration of a truncated prism - the part of a prism included between the base and a section made by a plane oblique to the base.

Truncated Prism

Illustration of a truncated prism - the part of a prism included between the base and a section made…

A volume of a truncated right triangular prism is equal to the product of its base by one third the sum of its lateral edges.

Truncated Right Triangular Prism for Volume

A volume of a truncated right triangular prism is equal to the product of its base by one third the…

A volume of a truncated right triangular prism is equal to the product of its base by one third the sum of its lateral edges.

Truncated Right Triangular Prism for Volume

A volume of a truncated right triangular prism is equal to the product of its base by one third the…

Diagram showing how "A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three vertices of the upper base."

Truncated Triangular Prism

Diagram showing how "A truncated triangular prism is equivalent to the sum of three pyramids whose common…

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base of the prism and whose vertices are the three vertices of the inclined section.

Truncated Triangular Prism for Volume

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base…

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base of the prism and whose vertices are the three vertices of the inclined section.

Truncated Triangular Prism for Volume

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base…

Illustration of a prism used to demonstrate that the volume of any prism is equal to the product of its base by its altitude.

Prism Showing Volume

Illustration of a prism used to demonstrate that the volume of any prism is equal to the product of…

Illustration of a plane passing through a prismatoid.

Plane Passing Through Prismatoid

Illustration of a plane passing through a prismatoid.

Illustration to show how volume of a prismatoid is found. "The volume of a prismatoid is equal to the product of one sixth of its altitude into the sum of its bases and four times its mid-section." V=1/6H(B+b+4M)

Prismatoid Illustration for Volume

Illustration to show how volume of a prismatoid is found. "The volume of a prismatoid is equal to the…

Diagram used to prove the theorem: "The volume of a prismatoid is equal to the product of one-sixth the altitude into the sum of the two bases and four times the mid-section."

Volume of Prismatoid

Diagram used to prove the theorem: "The volume of a prismatoid is equal to the product of one-sixth…

Illustration of 2 right octagonal prisms with congruent bases, but different heights. The height of the smaller prism is one half that of the larger.

2 Octagonal Prisms

Illustration of 2 right octagonal prisms with congruent bases, but different heights. The height of…

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism is one half that of the larger. Hidden edges are shown.

2 Rectangular Prisms

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism is one half that of the larger.

2 Rectangular Prisms

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller prism are one half that of the larger.

2 Similar Octagonal Prisms

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller…

Illustration of 4 congruent rectangular prisms placed in the shape of a square. They are arranged to look like they are 3-dimensional rectangular solids coming out of the page.

4 Congruent Rectangular Prisms

Illustration of 4 congruent rectangular prisms placed in the shape of a square. They are arranged to…

A cluster of 4 right hexagonal prisms with congruent bases, but varying heights.

4 Hexagonal Prisms

A cluster of 4 right hexagonal prisms with congruent bases, but varying heights.

Illustration showing two prisms are equal if the three faces which include a trihedral angle of the one are respectively equal to three faces which include a trihedral angle of the other, and are similarly placed.

Equal Prisms

Illustration showing two prisms are equal if the three faces which include a trihedral angle of the…

Illustration of the intersection of a quadrangular prism and an octagonal prism. The figures intersect at a right angle.

Intersecting Prisms

Illustration of the intersection of a quadrangular prism and an octagonal prism. The figures intersect…

Illustration of 2 parallelopipeds/rectangular prisms.

Rectangular prisms

Illustration of 2 parallelopipeds/rectangular prisms.

Illustration of 3 parallelopipeds/rectangular prisms.

Rectangular prisms

Illustration of 3 parallelopipeds/rectangular prisms.

Illustration of 2 rectangular prism used to show volume.

Rectangular Prisms Showing Volume

Illustration of 2 rectangular prism used to show volume.

Illustration of 2 similar right decagonal prisms. Both have regular decagons for bases and rectangular faces. The height of the prism and length of the side of the decagon on the smaller decagonal prism are one half that of the larger.

Similar Decagonal Prisms

Illustration of 2 similar right decagonal prisms. Both have regular decagons for bases and rectangular…

Illustration of 2 similar right heptagonal/septagonal prisms. Both have regular heptagons/septagons for bases and rectangular faces. The height of the prism and length of the side of the heptagon on the smaller heptagonal prism are one half that of the larger.

Similar Heptagonal/Septagonal Prisms

Illustration of 2 similar right heptagonal/septagonal prisms. Both have regular heptagons/septagons…

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of the hexagon on the smaller hexagonal prism are one half that of the larger.

Similar Hexagonal Prisms

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of…

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of the hexagon on the smaller hexagonal prism are one half that of the larger.

Similar Hexagonal Prisms

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of…

Illustration used to compare the volumes of a pyramid and a prism by emptying sand from the pyramid into the prism.

Comparative Volumes Of A Pyramid And Prism

Illustration used to compare the volumes of a pyramid and a prism by emptying sand from the pyramid…

Illustration showing the cone being treated as a many-sided pyramid.

Relation Of Pyramid To Cone

Illustration showing the cone being treated as a many-sided pyramid.

A sample exercise problem in completing the top part of the hexagonal pyramid and to create a development, or stretched out, of the image by creating edges at equal lengths, and revolving the sides.

Development Exercise of Hexagonal Pyramid

A sample exercise problem in completing the top part of the hexagonal pyramid and to create a development,…

A sample exercise problem to complete the top part and create a stretched out image of the oblique hexagonal pyramid. The stretched out image is created by drawing an arc with the perimeter of the base stepped off to create an intersection point.

Development Exercise of Oblique Hexagonal Pyramid

A sample exercise problem to complete the top part and create a stretched out image of the oblique hexagonal…

A pentagonal pyramid problem exercise to complete the top view of the image, and development, or rolled out image, of the pyramid.

Development Exercise of Pentagonal Pyramid

A pentagonal pyramid problem exercise to complete the top view of the image, and development, or rolled…

The problem exercise in completing the top view and creating the development, or rolled out, image of the pentagonal pyramid.

Development Exercise of Pentagonal Pyramid

The problem exercise in completing the top view and creating the development, or rolled out, image of…

Illustration of the development of a pyramid. When the pyramid covered in paper (figure a) is rolled out on a flat surface, the result is shown in figure b.

Development Of Pyramid

Illustration of the development of a pyramid. When the pyramid covered in paper (figure a) is rolled…

Illustration showing a ditetragonal pyramid.

Ditetragonal Pyramid

Illustration showing a ditetragonal pyramid.

The frustum of a pyramid is the portion of a pyramid included between the base and a section parallel to the base.

Frustum Pyramid

The frustum of a pyramid is the portion of a pyramid included between the base and a section parallel…

The volume of the frustum of any pyramid is equal to the sum of the volumes of three pyramids whose common altitude is the altitude of the frustum, and whose bases are the lower base, the upper base, and the mean proportional between the bases of the frustum.

Frustum Pyramid for Volume

The volume of the frustum of any pyramid is equal to the sum of the volumes of three pyramids whose…

Illustration of a regular pyramid with a pentagon for a base.

Frustum of a Regular Pyramid With Pentagonal Base

Illustration of a regular pyramid with a pentagon for a base.

The frustum of a pentagonal pyramid is the portion of a pyramid included between the base and a section parallel to the base.

Frustum of Pentagonal Pyramid

The frustum of a pentagonal pyramid is the portion of a pyramid included between the base and a section…

Illustration of an inverted pentagonal pyramid. It is pyramid with a regular pentagon for its base.

Inverted Pentagonal Pyramid

Illustration of an inverted pentagonal pyramid. It is pyramid with a regular pentagon for its base.

Illustration of pentagonal pyramid used to show that the volume is equal to one third of the product of its base by its altitude.

Pentagonal Pyramid For Volume

Illustration of pentagonal pyramid used to show that the volume is equal to one third of the product…