0.00 $
 0 item(s)

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

 

 

 

 

Popular

Polyhedra in architecture. Part 1

Architectural masterpieces located in different parts of the world reflect the human soul. Secret...

School project

In the second half of the 19th century, a new teaching method was born in US schools - the project...

Polyhedra in the cinema

Modern cinema has...

Platonic solids. Platonic polyhedra. How to make pdf template

This group of five geometric solids was given the name of the ancient Greek scientist Plato....

On Cosmonautics Day, we bring the stars closer

There are coincidences, which we do not even suspect. April 12 - Cosmonautics Day!...

Master of Metal Processing Technology

This article will introduce you to the technology of manufacturing geometric metal solids used by...

What Is More Reliable? Visual Assessment or Accurate Calculation?

This little "joke" task will keep your kids (students) busy for a while! What plastic tetrahedron*...