How to find the surface area of the cube?

Date:

2018-08-08 08:00:22

Views:

1336

Rating:

1Like 0Dislike

Share:

Table of contents:

The Cube has many interesting mathematical properties and are known to people since ancient times. Representatives of some of the Greek schools believed that elementary particles (atoms) that make up our world, have the shape of a cube, and mystics and esoterics even idolize this figure. Today the representatives of pseudoscience Cuba is credited with amazing energy properties.

The Cube is the ideal figure, one of the five Platonic solids. platonovo body is the surface area of the cubeCorrect multi-faceted shape that meets three requirements:

1. All its edges and faces are equal.

2. The angles between the faces are equal (the angles between the cube faces are equal and are 90 degrees).

3. All the vertices of the figure touch the surface described around her sphere.

The Exact number of these figures have called the ancient Greek mathematician teeter Athens, and Plato's student Euclid in the 13th book of beginnings gave them a detailed mathematical description.

The Ancient Greeks, tend to use quantitative variables to describe the structure of our world, gave the Platonic bodies deep sense of the sacred. They believed that the figures represent the beginning of universe: the tetrahedron - fire, cube - earth, octahedron - air, icosahedron - water dodecahedron - ether. The sphere described around them, symbolized the perfection, divine origin.

So, the cube is also called a hexahedron (from the Greek "hex" - 6), is a three - dimensional regular geometric figure. It is also called a right rectangular prism, or rectangular parallelepiped.the surface area of a cube

The cube has six faces, twelve edges and eight vertices. In this figure it is possible to inscribe other regular polyhedrons: the tetrahedron (a tetrahedron with faces in the form of triangles), octahedron (octahedron), and icosahedron (an icosahedron).

The Diagonal of a cube is the line segment joining two symmetrical relative to the center vertex. Knowing the edge length of the cube a, it is possible to find the length of the diagonal of v: v = a3.

In the cube, as mentioned above, it is possible to enter the sphere, the radius of the inscribed sphere (denoted r) will be equal to half the length of the fin: r =(1/2).

If the sphere be described around the cube, then the radius of the sphere described (let's call it R) will be equal to: R= ( 3/2)a.

A Fairly common task in school question: how to calculate the area lateral surface area of a cubeThe surface of the cube? Very simple, just visualize a cube. the Surface of a cube consists of six faces in the form of squares. Therefore, in order to find the surface area of the cube, you first need to find the area of one of the faces and multiply by the number of them: SP= 6A2.

Recommended

"Knowledge is light and ignorance is darkness": the value, meaning and alternatives

There are some sayings that would seem to need no explanation, such as “teaching & ndash; light and ignorance – darkness”. But some still do not understand their meaning. But not only for such people is written by our article. I...

What was invented by Mendeleev for the army. The history and fate of the invention

What was invented by Mendeleev for the army. The history and fate of the invention

D. I. Mendeleev was a brilliant Russian scientist-polymath, who made many important discoveries in various fields of science and technology. Many people know that he is the author of “Fundamentals of chemistry" and the periodic law of chem...

The origin of the Slavs. The influence of different cultures

The origin of the Slavs. The influence of different cultures

Slavs (under this name), according to some researchers, appeared in the story only in 6 century ad. However, the language of nationality bears the archaic features of the Indo-European community. This, in turn, suggests that the origin of the Slavs h...

Similar to how we found the surface area of the cube, calculate the area of its lateral faces: SB=4A2.

From this formula it is clear that two opposite faces of a cube is the base, and the other four side surfaces.

To Find the surface area of the cube can be another way. Given the fact that the cube is the rectangular parallelepiped, it is possible to use the concept of three spatial dimensions. This means that a cube, being a three-dimensional figure has 3 parameters: length (a) width(b) height (c).

Using these parameters, we calculate the surface area of a cube: SP= 2(ab+AC+bc).

To calculate the lateral surface area of a cube, the perimeter of the base times the height: SB= 2c(a+b).

The Volume of a cube is the product of three components - the height, length and width:
V= abc  or three adjacent edges: V=a3.


Article in other languages:

AR: https://tostpost.com/ar/education/11002-how-to-find-the-surface-area-of-the-cube.html

BE: https://tostpost.com/be/adukacyya/19710-yak-znaysc-ploshcha-paverhn-kuba.html

DE: https://tostpost.com/de/bildung/19718-wie-eine-fl-che-des-w-rfels.html

ES: https://tostpost.com/es/la-educaci-n/19730-c-mo-encontrar-el-rea-de-la-superficie-de-un-cubo.html

HI: https://tostpost.com/hi/education/11016-how-to-find-the-surface-area-of-the-cube.html

JA: https://tostpost.com/ja/education/11016-how-to-find-the-surface-area-of-the-cube.html

KK: https://tostpost.com/kk/b-l-m/19708-alay-bet-n-audany-kuba.html

PL: https://tostpost.com/pl/edukacja/19677-jak-znale-pole-powierzchni-sze-cianu.html

PT: https://tostpost.com/pt/educa-o/19679-como-encontrar-a-rea-da-superf-cie-de-um-cubo.html

TR: https://tostpost.com/tr/e-itim/19713-bulmak-i-in-nas-l-k-p-y-zey-alan.html

UK: https://tostpost.com/uk/osv-ta/19696-yak-znayti-ploschu-poverhn-kuba.html






Alin Trodden - author of the article, editor
"Hi, I'm Alin Trodden. I write texts, read books, and look for impressions. And I'm not bad at telling you about it. I am always happy to participate in interesting projects."

Comments (0)

This article has no comment, be the first!

Add comment

Related News

What part of speech? Examples of the composition of the words:

What part of speech? Examples of the composition of the words: "repeat", "help", "snowdrop"

the composition of the words especially are often asked to analyze high school students. Thanks to these lessons students better learn the material of word formation and spelling of various terms. But, despite the ease of this tas...

Bilinguals - who are they? How to become a person fluent in two languages?

Bilinguals - who are they? How to become a person fluent in two languages?

Today is becoming more and more popular foreign languages. Explains everything pretty simple: the person who equally well speaks and writes, for example, in English or Italian, will find a prestigious job in an international compa...

Count Vorontsov, Mikhail Semenovich: biography, photos, family

Count Vorontsov, Mikhail Semenovich: biography, photos, family

Count Vorontsov, Mikhail Semenovich-known statesman, adjutant-General, field Marshal, his serene Highness Prince (from 1845); the Novorossiysk and Bessarabian Governor-General; member of the St. Petersburg Academy of science. Cont...

Spasskiy Igor D.: biography and photos

Spasskiy Igor D.: biography and photos

Famous people written about and talked about, always arouse great interest among the public. This is understandable, because few people want to flaunt all the moments of your life, but to observe and to discuss the private life of...

Freedom lyrics of Pushkin: poems

Freedom lyrics of Pushkin: poems

Russia can rightfully be proud of the greatest talents that were born on her land. One of those unique individuals whose name is known, it seems almost anyone on Earth, except that with the exception of people who continue to live...

The gnomon is the simplest sundial

The gnomon is the simplest sundial

we All use for hours. The creation of modern devices greatly facilitate human life. Earlier monitor was also required, so there were other watches. And called them interesting word ‘gnomon’. From Greek it is translated...