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Ел Арна

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00:00:02

[music]

00:00:14

hello 5 I'm glad to meet you

00:00:18

the topic of our lesson is

00:00:20

cube rectangular parallelepiped.

00:00:25

Today in the lesson you will learn how to

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make a development in figures collect

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models of figures explain changes in the

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position of figures

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look at the boxes such a figure in

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mathematics is called a rectangular

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parallelepiped the components of the surface

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of a parallelepiped are

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rectangles they are called faces a

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parallelepiped has 6 faces and the

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same faces are located opposite

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each other; a parallelepiped has 12 edges;

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they are also the sides of the face; the

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points where the edges converge are called the

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vertices of the parallelepiped; there are 8 of them;

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look at the development of a rectangular

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parallelepiped; the opposite faces of the

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parallelepiped

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have the same names;

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and

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two lateral sides in width

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opposite faces of the parallelepiped are

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equal to the lips is called a rectangular

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parallelepiped in which all dimensions are

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equal

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the surface of the cube is 6 equal

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squares if the length of the edge of the cube is

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denoted by the letter a then the area of one

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face

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is written in the form of the formula area

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equals side a multiplied by side a or

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area square is equal to the square of the length of

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its side, guys, let's create an algorithm for

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making a model of a rectangular

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parallelepiped

00:02:36

from tubes and plasticine. First, you need to

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roll eight small balls from plasticine,

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these are the vertices of the parallelepiped.

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Second, take 12 tubes, 4 tubes

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equal to the length of the

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base, 4 tubes equal to the width

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of the base and 4 tubes equal to the width of the

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side. the length is the edges of the cube

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3, using balls, connect 4 tubes,

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two tubes equal to

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the lines of the base and two tubes equal to the

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width of the base to each other so that

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you get a rectangle

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fourth, assemble two rectangles 5

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connect two rectangles to each other

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using four tubes, the

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earlier ones are longer than the edges, you get a

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rectangular parallelepiped where the balls

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these are the 8 vertices of a parallelepiped and the tubes

00:03:52

are its 12 edges in your free time you

00:03:58

can make a parallelepiped

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yourself

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name what figures are in front of you

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determine the development of which cube is

00:04:10

shown in

00:04:12

front of you cube square parallelepiped

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rectangle which of the figures are

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the faces of a cube you are right this is a square which

00:04:27

of the figures are the faces of a rectangular

00:04:30

parallelepiped is a rectangle

00:04:34

look carefully at the scan of the

00:04:37

scan of which cube is shown, we

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see that this is a

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scan of 3 cubes, calculate the area of the

00:04:48

side walls of the box, find out how much

00:04:53

paper will be needed to cover

00:04:57

the box in front of you is a rectangular

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parallelepiped with sides of 8 meters 4 5

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meters and 20 meters, a rectangular

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parallelepiped has six faces for us we need

00:05:15

to calculate how much paper

00:05:17

will go on one base on the

00:05:21

side in width on the side in

00:05:25

length

00:05:26

to do this we will calculate the area of the side

00:05:30

walls of this box the

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first step is to find out how much

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paper will go on one base 8

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multiplied by 4 you get 32 square

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decimeters

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you will need paper on one base

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the second by action we will find out how much

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paper will go on one side side in

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width 4 multiplied by 2 it will be 8

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square decimeters

00:06:03

paper will be required on the side side by

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width by third action

00:06:10

we will find out how much paper will be on one

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side side by length 8 multiplied by 2

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it will be 16 square decimeters

00:06:23

paper will be required on the side along the

00:06:27

length, the

00:06:28

last step is to find out how much

00:06:31

paper is required for the entire box. For a

00:06:35

rectangular parallelepiped,

00:06:38

the opposite sides are equal,

00:06:40

so the results obtained

00:06:43

must be added and multiplied by 2. You will get

00:06:48

112 square decimeters will be required

00:06:51

to paste the box, write down the

00:06:55

answer

00:06:57

112 square decimeters of paper

00:07:00

will be required, look at the drawing of the room, let's

00:07:06

calculate area of a given room floor of the

00:07:11

room

00:07:12

rectangular shapes given floor length 8

00:07:17

meters floor width 5 meters find the

00:07:21

floor area

00:07:22

calculate the area to find the area of the

00:07:26

rectangle you need to multiply its length

00:07:29

by the width 8 meters multiply by 5 meters you

00:07:34

get 40 square meters

00:07:39

floor area of the room 40 square meters

00:07:42

guys let's let's play let's throw the

00:07:47

dice the sum of the numbers 50 and 40 multiply by the

00:07:53

number rolled out how can this be calculated the

00:07:59

number rolled is 2 the sum of the numbers 50 and 40

00:08:05

multiply by 2 for ease of calculations we

00:08:08

will use the associative property of

00:08:10

multiplication 50 multiply by 2 and 40 multiply

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by 2 add up the results you get 180 the

00:08:22

number rolled 4 the sum of the numbers 50 and 40 is

00:08:28

multiplied by 4 for ease of calculations we

00:08:31

apply the associative property of

00:08:33

multiplication

00:08:35

50 we multiply by 4 and 40 we multiply by 4

00:08:40

we add the results we

00:08:41

get 360 a cube with sides 6 is drawn the

00:08:49

sum of the numbers 50 and 40 is multiplied by 6

00:08:54

for the convenience of calculations we apply the

00:08:57

associative property of multiplication 50

00:09:01

multiply by 6 and 40 multiply by 6

00:09:05

add up the results will be 540

00:09:09

sum up the lesson

00:09:12

today we got acquainted with the cube and the

00:09:16

rectangular parallelepiped

00:09:18

we learned the components of the rectangular

00:09:23

parallelepiped we compiled an algorithm for

00:09:27

making a rectangular

00:09:29

parallelepiped from plasticine and tubes

00:09:34

after watching the lesson do

00:09:38

task 6 on page 42 yourself good luck

00:09:43

guys from healing and knowledge on the

00:09:47

ladder of success, I hope the topic was not

00:09:51

difficult for you, the lesson has come to an end until we

00:09:56

meet again

00:10:01

[music]

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Тема урока: Куб. Прямоугольный параллелепипед С понедельника по пятницу с 09:00-18:00 телевизионные уроки в эфире EL ARNA Запись телеуроков: https://www.youtube.com/playlist?list=PLDIwNJYcIQ77fZ7Tqrb5myYpNtQbhnA4p https://edu.elarna.kz/ru/tv-lessons

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