As is the size of the hexagon of the formula. Perimeter hexagon: online calculator, formulas, examples of solutions. Examples from real life. Right hexagon

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Sides. P \u003d a1 + a2 + a3 + a4 + a5 + a6, where p is perimeter hexagon, and a1, a2 ... a6 - the lengths of his parties. The measurement of each side of each side, lead to one form - in this case, only the numeric values \u200b\u200bof the side lengths will suffice. Unit of measurement perimeter hexagon will coincide with the unit of measurement of the parties.

Examples from real life

Geometry is a branch of mathematics, which is engaged in the study of forms of various measurements and analyzing their properties. In this study of forms, a polygonal family is one of the most commonly studied figures. Polygons are closed with 2-dimensional flat objects that have direct sides. A polygon consisting of 6 sides and 6 angles is known as a hexagon. Any closed flat two-dimensional structure with 6 straight sides will be called a hexagon. The word "hexadecimal" means 6, and the "corner" refers to the corner.

Example. There is a hexagon with the lengths of the parties 1 cm, 2 mm, 3 mm, 4 mm, 5 mm, 6 mm. It is required to find its perimeter. The unit of measurement of the first side (cm) differs from the units of measuring the lengths of the remaining sides (mm). Therefore, translate: 1 cm \u003d 10 mm.2. 10 + 2 + 3 + 4 + 5 + 6 \u003d 30 (mm).

If the hexagon is correct, then to find its perimeter, multiply the length of its side to six: p \u003d a * 6, where a - the length of the side of the right hexagon. Example. Incidentally the perimeter is right hexagon On the side of the side is 10 cm. The presentation: 10 * 6 \u003d 60 (cm).

As shown in the diagram below, the hexagon has 6 sides or edges, 6 corners and 6 vertices. Hexagon Square is a space occupied within the hexagon boundaries. Using the sides and angle measurements, we can find the hexagon area. Hexagons can be observed in different forms in our beautiful nature. The figure below shows the shaded part within the hexagon boundaries, which is called the hexagon zone.

This type of hexagon also does not have 6 equal corners. If the vertices of the irregular hexagon are directed outward, then it is known as a convex irregular hexagon, and if the hexagon vertices are directed inside, then it is known as a concave irregular hexagon, as shown in the figure below. Since the measurements of the parties and angles are unequal, so we must use different strategies to find the area of \u200b\u200bthe irregular hexagon. The method of calculating the area of \u200b\u200bthe correct hexagon differs from the method of calculating the area of \u200b\u200bthe irregular hexagon.

The correct hexagon has a unique property: the radius described around such hexagon The circle is equal to the length of its side. Therefore, if the radius of the described circle is known, before use the formula: P \u003d R * 6, where R is the radius of the circle described.

Regular hexagon area: The correct hexagon has all 6 sides and 6 angles, equal to. When the diagonal is drawn through the center of the hexagon, 6 equilateral triangles are formed the same size. If the area of \u200b\u200bone equilateral triangle is calculated, then we can easily calculate the area of \u200b\u200bthis correct hexagon. Consequently, all of his parties are also equal.

Now the correct hexagon consists of 6 such congruent equilateral triangles. Example 1: What is the area of \u200b\u200bthe right hexagon, the length of which is 8 cm? Example 2: If the area of \u200b\u200bthe correct hexagon is √12 square feet, then what is the length of the hexagon side?

Example. Specify the perimeter right hexagonwritten in a circle with a diameter of 20 cm. The radius of the described circle will be equal to: 20/2 \u003d 10 (cm). Prey, perimeter hexagon: 10 * 6 \u003d 60 (cm).

Example: Locate the area of \u200b\u200bthe irregular hexagon shown in the figure below. Hexagonal grids are used in some games, but they are not so easy or distributed as square grids. Many parts of this page are interactive; The selection of the type of grid will update charts, code and text to match. Samples of the code on this page are written in pseudocode; They are intended for easy reading and understanding so that you can write your own realization.

Hexagons are hexagoned polygons. Conventional hexagons have all directions of the same length. Typical orientations for hexamic grids are horizontal and vertical. Each edge is separated by two hexagons. Each corner is separated by three hexagons. In my article about the parts of the grid. In the right hexagon, internal angles of 120 °. There are six "wedges", each of which is an equilateral triangle with 60 ° corners inside.

If, by the conditions of the problem, the radius of the inscribed circle is specified, then apply the formula: p \u003d 4 * √3 * R, where R is the radius inscribed in the correct hexagon of the circle.

If the area is known correctly hexagon, To calculate the perimeter, use the following ratio: S \u003d 3/2 * √3 * A², where S is the area of \u200b\u200bthe right hexagon. From here you can find a \u003d √ (2/3 * s / √3), therefore: p \u003d 6 * a \u003d 6 * √ (2/3 * S / √3) \u003d √ (24 * S / √3) \u003d √ (8 * √3 * S) \u003d 2√ (2s√3).

Given the hexagon, which is 6 hexes coexist with him? As it should be expected, the answer is simple with the coordinates of the cube, is still quite simple with axial coordinates and a bit more complicated with the coordinates of the displacement. We could also want to calculate 6 diagonal hexes.

Considering the location and distance that it is seen from this place, and not blocked by obstacles? The easiest way to do is draw a line for each hexagonal range. If the line does not hit the walls, you can see the hex. Mouse over hexadecimal to see how the line stretches to this hex, and to what walls he falls.

By definition from the planimeria, the correct polygon is called a convex polygon, in which the parties are equal to each other and the corners are also equal to each other. The correct hexagon is the right polygon, with the number of sides equal to six. There are several formulas for calculating the area of \u200b\u200bthe correct polygon.

  • The convex sevenfoon is the one that has no stupid inner corners.
  • A concave helix is \u200b\u200bone with a stupid inner angle.
Formulas for calculating the area and the perimeter of the sevenfones vary depending on whether it is regular or irregularly seven.

where a is the length of the side of the right hexagon.

Example.
Find the perimeter of the correct hexagon from the length of the side is 10 cm.
Solution: 10 * 6 \u003d 60 (cm).

The correct hexagon has a unique property: the radius of the circumference described around such a hexagon is equal to the length of its side. Therefore, if the radius of the described circle is known, until we use the formula:

where R is the radius of the circumference described.

Example.
Calculate the perimeter of the right hexagon written into a circle with a diameter of 20 cm.
Decision.
The radius of the described circle will be equal to: 20/2 \u003d 10 (cm).
Consequently, the perimeter of the hexagon: 10 * 6 \u003d 60 (cm). If, by the conditions of the task, the radius of the inscribed circle is specified, then apply the formula:

where R is the radius inscribed in the correct hexagon of the circle.

If the area is known for the right hexagon, then to calculate the perimeter, use the following ratio:

S \u003d 3/2 * v3 * eh?,

where S is the area of \u200b\u200bthe right hexagon.
From here you can find A \u003d V (2/3 * S / V3), therefore:

P \u003d 6 * A \u003d 6 * V (2/3 * S / V3) \u003d V (24 * S / V3) \u003d V (8 * V3 * S) \u003d 2V (2SV3).

How simple

Box side - A

Box side - B

Box Height - H

Boxes

Volume of one box
0 m 3.

Volume of all cargo
0 m 3.

Calculation of the volume of cargo in m3

Calculate the volume of cargo in M3 in our calculator. Why and who needs it? For example, you are a shipper that wants to figure out the freight market prices and to begin with, it wants to quickly calculate the amount of its cargo in M3. To calculate, you can use the calculator. Pointing the sizes of the sides and the height of one box, then indicating the number of boxes, as a result we get their volume. Moreover, in this calculator you can see both the volume of the entire cargo and only one box. Finding out the amount of its cargo, you can easily understand what kind of transport you need. After all, if the volume of your cargo is 10m3, there is no need to order a wagon and overpay for the "emptiness". You will be enough Gazelles.

How to calculate the volume of the box in the meters of cubic

The volume of the box is very simple. This page has a calculator, which will help you easily calculate the volume of one box or all the cargo. Perhaps you are interested in what formula is the calculation. From the point of view of mathematics, a regular cardboard box with a cargo is a rectangular parallelepiped, and if the box all sides are equal, then this is a cube. Accordingly, their volume will count on a simple geometric formula: side A * side b * height. It is worth noting an important fact: if the calculation is used, for example, the meter, then the result will be in cubic meters. In our calculator, meters are used to calculate the volume. If one of the sides of the box, for example, 60cm, then in the calculator you need to specify a decimal fraction in the form: 0.6.

Calculator volume box with cargo in m3

We have already found out how volume in m3 is calculated. In order not to consider this value manually and this volume calculator was created. Why use these calculator? It is convenient, it is not necessary to spend time on calculating the volume of all cargo in cubic meters (m3). Using the simple interface of our calculator, you can instantly find out the volume of cargo. Just enter the sizes of the side of the box, the height of the box (third party) and the number of boxes, if there are more than one. And all, we obtain the result in the form of a value in M3 format (cubic meters).
Why is it better to use our calculator instead of calculating manually? The probability of error B. this case Es excluded, and you need to spend time and strength to calculate the time on hand.

Why know the volume of cargo transported?

If you are going to order a cargo transportation of something, packed in boxes or rectangular containers, then the first thing that will be asked for the application of the application is the volume of cargo transported. Here you will help our volume calculator in M3. Right during the call, you can quickly calculate the volume in M3 and communicate it to execute the application.
Knowing the volume, the logist manager will be able to pick up the necessary car to transport exactly your cargo and relieve you from unnecessary overpayments for a larger car. Also, the logistics can immediately orient you at the price of cargo transportation.

The number of boxes

Result:

Volume of one box (m 3):

Total volume (m 3):

Use the resulting
Result for
Application registration

d \u003d m see
h \u003d. m see

Number of pipes

Result:

The volume of one pipe (m 3):

Total volume (m 3):

Use the resulting
Result for
Application registration

How to calculate the size of the box?

You have a question about the deliveryAnd also there was a need to know how to calculate the volume of cargo, you need our help? How to calculate the volume of cargo we know, on this page you see a calculator that accurately performs calculations.

In general, for what purpose is the volume calculated?

The amount of calculation is necessary in order to avoid misunderstandings when loading loaded boxes into the vehicle. The volume to calculate with the help of modern technologies today is easy, enough of your stay here.

What criteria do we use to count the volume of cargo?

Firstly, everyone knows - every detail is important in the delivery process, and it is important without mistakes to calculate the volume of cargo as a whole. Calculate the volume of cargo as has already been said to help our volume calculator, it will make it quickly and reliably!

Second - Calculator volumes, about his start on our site, is already mentioned above, as you can see, we care about our clients. Calculator volumes, that's what can make it easier to make it easier with the calculations, and completely kill your doubts.

What do we give you?

What else is needed?

For example…

You are an entrepreneur who deals with transportation from China, and you constantly need a calculator calculator. Calculator calculating volumes You will quickly find on the pages of our site, and fulfill your calculations now.

Nowadays, entrepreneurship holds on the Chinese production of goods, and from where the need arose to calculate the volume? Calculate the volume is necessary in order to know the total cargo, and then choose the type of transport.

What is the calculation of volumes in delivery? And what role does he play?

Calculation of volume - This is how much, you have already understood a very important stage in the delivery, and you need to trust it in the reliable hands of professionals. Calculation of the volume of cargo should be done carefully, considering all the sizes, and translating them into cubic meters.

But unfortunately, not everyone cope with these calculations.

As early as school times, we studied how to calculate the volume of cargo in M3, but unfortunately do not remember this. How to calculate the volume of cargo in M3 - there are cases when this question arises first place, for example during delivery.

For this, this page and exists!

After all, this page is for both intended to help you in the calculation of delivery.

To perform the calculation of the volume of the box, do not try to do it yourself, just need to fill empty fields. The calculation of the box volume is automatically executed by our calculator if you doubt, check yourself.

For this, we remind you of the formula of volumes.

Calculation of cargo volume in cubic meters you need In order to submit the right application for its transportation. Calculation of the volume of cargo in cubic meters, i.e. knowledge of the volume will help to determine what type of delivery will be suitable for you.

And now we turn to the main, Talk about how to make calculations and what they need.

To begin with, we will understand ...

Calculate the volume of cargo is not always simple, as it seems, all this due to the fact that the boxes can be a varied form. Calculate the volume of cargo of the rectangular box, trifle, but the rest is hard, it is necessary to know the formulas.

To begin with, we define the form for this, first learn what they exist.

What form can have a box:

  • Rectangle;
  • Cylinder;
  • Truncated pyramid (very rare).

Then follow measurements

Before calculating the volume of the box to measure it, but remember, the more precisely the measurements are made, the easier you. "How to calculate the size of the box?" - What to do next: determine which form (cube or rectangle), sizes.

What gives us knowledge of volume?

Knowledge of the size of the box will not allow to allow misunderstandings when loading goods into any type of transport that can be. From the volume of the box there is practically nothing depends, rather, on the contrary, it all depends on the size of the goods itself.

And why? Everything is obvious here before purchasing a box, you need to find out the size of the cargo that you are going to transport across the border.

Well, you know the size of the cargo, now it remains to calculate its volume (to purchase the box).

soIn order to learn how to calculate the volume of cargo in the M3 formula will be required first of the same queue. How to calculate the volume of cargo in the m3 of the formula will help without a doubt about this matter, so it looks like V \u003d A * B * H, everything is very simple.

Especially she is already known to you.

We want to remind what ...

What would be easier for you to determine what type of transport to choose for delivery, you need to calculate the volume of cargo in m3. Calculate the volume of cargo in M3 is very simple, here you need to know the exact dimensions, which then need to multiply.

Units need to move in M3, otherwise it will not be possible to calculate delivery.

And what to do if the box shape is not rectangular, and rounded? After all, it is a big rarity, but still happens.

You can count the box or containers at the base of which there is a circle, and there is also a formula for this. The volume to calculate the box shape boxes allows the expression V * R2 * H, the dimensions must first be measured correctly.

Calculator volumes

We provide a calculator to you: the volume of goods in m3, with the help of it you can independently make calculations. Calculator cargo volume is located on the hiring site specifically for your convenience, and for the speed of calculations.

What is the calculator for calculating the volume of cargo?

We are with you business people and the lost time sometimes carries large cons. Want to get loads quickly and reliably? And at the same time, as soon as possible, learn prices for their transportation and delivery?

That's it here, the cargo volume calculator will help!

Our calculator volumes allows you to calculate the volume of cargo in M3, so the question of the size of the box will no longer arise. The calculator of the volume is simple and convenient in use, it will give results as the volume of the box so and the cargo.

So, using the volume calculator, you solve a few questions:

How to calculate the volume of cargo (or box)? Do not forget about the quantitative unit that you take into account.

Faced one of them or a similar? Our company is glad to offer for your convenience the volume in the meters of cubic boxes to calculate, with a convenient calculator.

And finally, let's remember mathematics!

What is the most common problem?

Many confused How to calculate the volume of flat figures and volumetric, so on, mistaken in the concepts, more accurately difficult to answer. How to calculate the volume do not need to know, enough that you will specify the sizes, the main thing is not forget that they are 3.

Having finished all the calculations, one more task remains.

And what do you need transport?

Recall, in delivery, besides how to calculate the cube there are still no less important things, such as the placement of goods. How to calculate the cube you know, so everything else is in your hands, now the choice of transport depends on you.