Calculate volume formula. Calculator for calculating the working volume of an internal combustion engine

26.09.2019

Product delivery cost - important question, which interests many of our customers. Most transport companies create a price list for their services, taking into account the volume of cargo in cubic meters - in other words, the volume of space that the packaged cargo will occupy in the transport compartment of an aircraft, sea container, cargo truck or railway car.

Which delivery should I choose - air, rail or auto?

To navigate delivery prices and choose the most optimal mode of transport when ordering goods from China, you need to know the total volume of cargo in m3 that you want to receive. A calculator on our website will help you calculate the volume, but to quickly get the desired result, you must use the following data:

type of packaging (box or cylinder);
main packaging parameters - length, width and height (for boxes) or height and diameter (for cylinders);
number of packages in pieces.

By measuring the basic parameters of the packaging with a ruler, you can calculate the volume of the box or cylinder, and then calculate the volume of the entire shipment in cubic meters. The obtained figures will help you compare prices for delivery by one or another transport and choose the appropriate option.

Why do you need a volume calculator?

One of the main qualities of a modern businessman is the ability to quickly take important decisions and respond promptly to changes in market trends. Our volume calculator helps you save time on calculations and get the numbers you need in just a few minutes.

Using the volume calculator is convenient and very simple: for calculations, enter the required numbers in the appropriate fields, then feel free to click on the “Calculate” button. The volume calculator in m3 produces a ready-made result regardless of the units of measurement in which you entered the container parameters - in centimeters or meters. The system automatically converts the data into the required format and provides the final result in cubic meters.

Knowing the volume of containers and the total volume of cargo, you can wisely choose the appropriate type of transport and place the goods in it as compactly as possible, without overpaying for empty space. Use the online packaging volume calculator to quickly calculate the volume of a box or pipes, as well as the entire shipment of goods. The second calculator will help you find out the estimated cost of shipping cargo from China various types transport, taking into account its volume in m3.

How to calculate the volume of a box?

In order to calculate the volume of a box, you need to measure its length, height and width. If you have a sample packaging available for your products, use a ruler to measure. Data on the box parameters can also be obtained from the supplier. You can calculate the volume of a box in cubic meters in two ways: using our online volume calculator in m3 or using the formula yourself. Let's consider both options.

To enable the volume calculator to correctly calculate the volume of a box, select the "Box Volume" option. Measure the box based on the image next to the calculator (or copy information about its parameters from the seller’s website), and enter the numbers into the volume calculator. You can also specify the number of boxes and shipping cost per cubic meter. Click on the “Calculate” button - in the table below you will see the final result: the volume of the box in m3. If you provided data on the number of boxes and the cost of delivery for calculations, then the table will also show the total volume of cargo and the estimated delivery amount.
You can independently calculate the volume of packaging using the formula that is studied in mathematics lessons at school: V=a*b*h. Here V is the volume, a is the length, b is the width and h is the height (note: all data obtained during measurements must be converted from centimeters to meters). Simply multiply these numbers and you will get the required volume of the box in cubic meters.

How to calculate the volume of a cylinder (pipe)?

Your product will be packed in a cylindrical container and you want to know the volume of the cargo? The calculator will easily cope with this task. For calculations, you will need parameters such as the height of the container and its diameter. Use a ruler to measure, as you would with a box, or ask your supplier for packaging specifications. Next, our volume calculator will be used:

mark the type of container (cylinder/pipe);
enter the packaging parameters in the appropriate lines;
indicate the number of pipes (if you know it);
click the "Calculate" button.

Done: the calculator calculated the cargo volume in a second! The results plate shows the volume in cubic meters of both one pipe and the total volume of your cargo (if the number of packages was indicated).

For independent calculations and consolidation of knowledge acquired at school, use the formula V=π*r 2 *h. As we remember, V denotes the volume, π is the number “pi” equal to 3.14, r 2 is the radius of the pipe squared, and h is its height. By multiplying all the numbers, you get the volume of a cylindrical container. Don’t forget: after measuring the radius of the pipe and its height, convert centimeters to meters - and then you will get the correct result in m 3.

How to calculate the volume of cargo in different containers?

It’s good when all the cargo has the same dimensions - an online volume calculator solves such problems in a matter of seconds. How to calculate the volume of cargo if it is packed in containers different shapes- large and small boxes and cylinders?

There is nothing complicated here, the main thing is to know the exact parameters of each type of container and its quantity. Our volume calculator in m3 will help you quickly calculate the volume of cargo packed in containers of the same shape and size, after which all you have to do is add up all the numbers and get the total volume of your cargo.

How to calculate shipping costs?

Knowing the total volume of cargo in cubic meters, you can easily navigate the cost of delivery from China by various transport. To do this, use the calculation results provided to you by our volume calculation calculator. In the special form located under the calculator, enter the resulting numbers in the “Volume” field. Select a delivery option (by sea, by air, by road, etc.), enter the points of departure and destination, and fill in other fields, and then click the “Calculate” button. The system will automatically calculate the cost of shipping your cargo for the selected delivery option.

Instructions

If a body has the shape of a rectangular parallelepiped (it can be a matchbox, a book, a cube, etc.), then its volume is found by the formula: V=abc, where a is the height of the body, b is its width, c is its length. The values are taken using a regular ruler or measuring tape. Let a matchbox be given, to calculate its volume you need to measure its parameters: a=2cm, b=4cm, c=5cm, which means the volume of the box is 4cm*2cm*5cm=40cm cubed.

If the body has a shape other than a parallelepiped, an irregular shape, then its volume can be found by a method that was discovered by the ancient Greek scientist Archimedes in the 3rd century BC. To do this, you need to pour water into the measuring vessel, remember how much water is in it (V1), then lower the body there and measure how much water there is (V2), the volume of the object will be the difference: V2-V1. You should carefully study the vessel, in what units it measures water, most likely in milliliters or liters, which means the volume of the body will also be in the same value.

Example: let’s say we need to measure the volume of a stone. Pour 50 ml of water into a beaker. After lowering the stone into the water, there was 60 ml of water in the beaker, which means the volume of this stone is 60-50 = 10 ml.

In the case when the mass and density of the body are known, the volume of the body is calculated using the formula: V=m/p, where m is mass, p is density. It is necessary to calculate using the formula only when the body mass is known in kilograms, and the density is known in kilograms divided by a cubic meter; or mass - in grams, and density - in grams per cubic cm, then the volume in the first case will be measured in cubic meters, and in the second - in cubic centimeters. The density of a body is a tabular value; there are special tables of the densities of various substances.
Example: let’s say we need to find the volume of an iron nail, the mass of which is 7.8 g. Find iron in the density table - its density is 7.8 g/cubic cm. Then the volume is 7.8 (g) divided by 7.8 (g/cubic cm) is equal to 1 cubic centimeter.

Calculate volume Cuba may be needed not only when solving mathematical problems. For example, you need to know how many bricks are in a cube-shaped package, or how much liquid or dry substance will fit in a container. To do this, of course, you will need to find out a few more parameters, but first of all you need to calculate the volume Cuba.

You will need

Remember the definition and properties of a cube
Measuring device

Instructions

Remember what a cube is. This is a regular hexahedron - geometric body, each face of which is a square. Because all sides Cuba is the same - then its edges are equal to each other, as well as its edges. That is, to determine the volume you need to know the size of just one face.

Remember what the volume of a parallelepiped is. He equal to area base multiplied by height. But Cuba length, width and height are equal. The cube can be placed on any face, the area of the base will still be the same as in its original position. Label the edge Cuba like a. Find the area of the base. It is equal to the product of length and width, that is, S=a2..

Calculate the volume by multiplying the base area a2 by the height, which is in this case is also equal to a. Accordingly, the volume V will be equal to the size of the rib Cuba, raised to the third power. V=a3.

If you need to calculate the amount of a substance that is supposed to fill a cubic container, then you need to know the density of this substance. This amount will be equal to density times volume Cuba. And in order to calculate, for example, the number of bricks in a cubic container, you need to calculate the volume of each brick, and then divide the volume of the container by the volume of the brick.

note

In some cases, it is necessary to find not the volume, but the area of the walls - for example, when calculating the amount of glass for an aquarium. Since all the faces of the cube are the same, the area is the sum of the areas of 6 faces, that is, expressed by the formula S = 6a2

Try to carry out practical measurements as accurately as possible. You can use a ruler, tape measure, or caliper. The main thing is that the divisions comply with the standards.

Meter V cube, cubic meter or cubic meter is a standard unit of volume. These units are used to calculate the volume of premises, as well as the consumption of water and gas. They often indicate the quantity of certain building materials, for example, boards. Other non-system units of volume measurement - liters, cubic decimeters and centimeters - are also converted into cubic meters.

You will need

- calculator;
- table of density of substances;
- computer.

Instructions

To calculate the number of cubic meters, if the volume is known but given in submultiples, multiples or non-system units, then multiply it by the desired coefficient. For example, to calculate the number of meters in cube for cubic decimeters (liters), multiply their number by 0.001. To convert cubic centimeters and cubic millimeters to cubic meters, multiply their quantity by 0.000001 and 0.000000001, respectively.

We will help you figure out how to correctly calculate the volume of transported cargo. This procedure is very important to avoid misunderstandings when loading containers or boxes of products into a vehicle. Thanks to modern technologies It’s not difficult to calculate the volume, the main thing is your presence on our page.

The essence of volume calculations and their role in the delivery process

Volume calculation is an important component when making deliveries, so calculations must be carried out professionally and without errors. When calculating, it is necessary to indicate all dimensions, which must be converted in advance to cubic meters. As practice has shown, this task is not feasible for everyone. At school we were taught how to convert indicators into m3, but not everyone understood this. The cargo volume must be converted to m3 in order to know how much area the box will occupy upon delivery.

For what purpose is it necessary to calculate cubic capacity?

The cubic capacity must be calculated in order to draw up a correct and competent application for transportation. Also, knowing the volume of cargo in cubic meters, you can decide which type of transportation to choose.

How to make calculations and what is their importance?

First of all, let’s remember the definition of volume, what it is and what formula it is calculated by. However, there are times when certain difficulties arise when calculating volume. This is due to the irregularly shaped boxes. Calculating the volume of a regular rectangular box is not difficult, but the volume of boxes with non-standard forms requires greater care; there are special formulas for this. First you need to know the shape of the box. Let's look at what shapes boxes come in:

cube shaped box
cylindrical box
rectangular box
box with the shape of a truncated pyramid (extremely rare)

After determining the shape, measurements of the box are taken. To avoid errors, it is important to take accurate measurements.

Why is it necessary to know the volume?

Knowing the exact volume of the box, you can avoid problems when loading products into a vehicle. Little depends on the volume of the box itself; the main component is the actual size of the product. If you ask why? We will answer, because initially it is necessary to focus on the dimensions of the cargo, for which the appropriate box will be selected. Knowing the dimensions of the cargo, you can calculate its volume in order to select the required box. Thus, we convert the volume of cargo into cubic meters; a special formula V=a*b*h will help us with this. As you can see, everything is easy.

It is also important to remember, in order to correctly determine the choice of transport, it is necessary to convert the volume of cargo into cubic meters. It is not difficult to carry out this calculation; to do this, you just need to first measure the dimensions of the cargo and multiply these indicators. To correctly calculate delivery, it is necessary to convert units to m3.

What to do if the box is round and not rectangular? This situation It is rare, but still it cannot be ruled out. In this case, it is necessary to calculate the volume of the container or box with a circle at the base. The following formula will help with this: V *r2*h. Do not forget, you must first correctly measure the parameters of the load.

Now let's remember math lessons!

The most frequently asked question is: “how to correctly calculate the volume?” First of all, you need to decide the volume of what needs to be calculated, namely what shape the figure is. Our site will also help you find out how to calculate the total volume of cargo and the box itself.

What are the most common problems you encounter?

The confusion may lie in determining whether this figure is volumetric or flat. Calculating the volume itself is the second question; initially you need to know the exact dimensions, remember that there are always three of them.

Now the question of delivery. Having done necessary calculations volume of cargo, it is important to decide on the type of delivery. This is a very important issue in which no mistake can be made. Therefore, in order to avoid shortcomings, it is necessary to accurately calculate the volume of cargo, after which, focusing on specific numbers, you can safely choose the type of transport.

What type of transport is right for you?

It is important to remember that the delivery process includes not only the correct calculation of cubic capacity, but also focuses on the specific placement of products. You have already become familiar with the process of calculations and determination of cubic capacity, now the choice vehicle depends only on you.

The cost of delivery of goods is an important issue that interests many of our customers. Most transport companies create a price list for their services, taking into account the volume of cargo in cubic meters - in other words, the volume of space that the packaged cargo will occupy in the transport compartment of an aircraft, sea container, cargo truck or railway car.

Which delivery should I choose - air, rail or auto?

type of packaging (box or cylinder);
main packaging parameters - length, width and height (for boxes) or height and diameter (for cylinders);
number of packages in pieces.

Why do you need a volume calculator?

One of the main qualities of a modern businessman is the ability to quickly make important decisions and respond in a timely manner to changes in market trends. Our volume calculator helps you save time on calculations and get the numbers you need in just a few minutes.

Knowing the volume of containers and the total volume of cargo, you can wisely choose the appropriate type of transport and place the goods in it as compactly as possible, without overpaying for empty space. Use the online packaging volume calculator to quickly calculate the volume of a box or pipes, as well as the entire shipment of goods. The second calculator will help you find out the estimated cost of delivering cargo from China by various modes of transport, taking into account its volume in m3.

How to calculate the volume of a box?

To enable the volume calculator to correctly calculate the volume of a box, select the "Box Volume" option. Measure the box based on the image next to the calculator (or copy information about its parameters from the seller’s website), and enter the numbers into the volume calculator. You can also specify the number of boxes and shipping cost per cubic meter. Click on the “Calculate” button - in the table below you will see the final result: the volume of the box in m3. If you provided data on the number of boxes and the cost of delivery for calculations, then the table will also show the total volume of cargo and the estimated delivery amount.
You can independently calculate the volume of packaging using the formula that is studied in mathematics lessons at school: V=a*b*h. Here V is the volume, a is the length, b is the width and h is the height (note: all data obtained during measurements must be converted from centimeters to meters). Simply multiply these numbers and you will get the required volume of the box in cubic meters.

How to calculate the volume of a cylinder (pipe)?

mark the type of container (cylinder/pipe);
enter the packaging parameters in the appropriate lines;
indicate the number of pipes (if you know it);
click the "Calculate" button.

How to calculate the volume of cargo in different containers?

It’s good when all the cargo has the same dimensions - an online volume calculator solves such problems in a matter of seconds. How to calculate the volume of cargo if it is packed in containers of different shapes - large and small boxes and cylinders?

How to calculate shipping costs?

The most common question from customers is how to calculate cargo volume. The question is legitimate, since the choice of transport depends on the result of the calculation, and there is always the opportunity to choose a car from a cheaper range of models.

Each vehicle can carry a certain weight and cubic capacity, the parameters are usually indicated on the body of the vehicle, but if you have questions, you can always ask them to the managers of KVAD Logistics.

How to calculate the volume of cargo yourself?

While weighing items for transportation is not difficult, certain problems arise with volume calculations.

Any object, if it occupies a separate space, has its maximum length, width and height in certain places. For example, if you are going to transport a statue, then it cannot be folded with some other item, thereby saving space. Therefore, its volume is calculated separately. The width is taken as the width of the widest point, the height is calculated from the floor to the highest point, the length is measured in a position perpendicular to the width vector parallel to the floor according to the same principle: the widest point is sought.

Items that can be nested inside each other, for example, frames and corners, building blocks, can be counted as a single value, adding 20-30% to the volume for packaging and placement in the truck.

Calculating cargo volume is very simple: length multiplied by width and height. The resulting figure is converted to square meters.

If the load is not heavy, then voluminous and fairly light structures, for example, furniture, can be transported in a small truck with a low carrying capacity. If, in addition to volume, objects have heavy weight, you will need more powerful transport.

After calculating the volume of all types of cargo, the volumes are summed up. The resulting value is multiplied by 1.3. Tolerance is necessary because the load cannot be placed close together unless they are boxes of the same size. The allowed space is allocated to voids that are formed when loading uneven cargo.

Of course, this is a very rough estimate. The packaged cargo will have different volumes, and the packaging itself may somehow make it possible to create more capacious dimensions.

How to calculate the volume of cargo correctly?

If you need to transport cargo over a long distance, entrust the calculations to determine the volume of cargo to the professionals of KVAD Logistics.

Since many of the company’s clients send cargo at the same time, it is possible to place compact cargo in one vehicle, and large and heavy cargo in another. As a result, you will have to pay less, since transportation costs will be distributed more evenly and among all participants in proportion to the weight and volume of products sent. You don't have to think about how to calculate the volume of cargo. We will carry out this procedure for you and select the most profitable transportation options for you.

They are the most common type of cardboard boxes in Ukraine. Such boxes are used for a variety of purposes - they have proven themselves equally well for packaging. finished products, and for transport operations, and as “a container for everything in the world.” At the same time, the range of goods and types of products that are packed in cardboard boxes is very extensive and varied. Thus, corrugated cardboard boxes are used for packaging large and oversized cargo, as well as cargo of various weights. This point is very important to understand before calculating the volume of the box you need.

Why is it important to know the exact volume of a rectangular box?

As we noted earlier, cardboard boxes are used mainly for storing and transporting goods and cargo. Imagine that you are engaged in the production of any product, and you can use a huge warehouse to store finished products, but we guarantee you that sooner or later you will not have enough space for the entire range of products. Or you are the owner of a store, say, household goods. In any case, you will try to expand the assortment to increase sales and, as a result, profits - which means you simply need to have at least several copies of each product on hand, in the back room of the store. Both of these examples (large and medium-sized businesses) clearly show that without taking into account the total volume of packaged finished products, it is almost impossible to establish uninterrupted operation of the enterprise - everything must fit and everything must be sold.

In addition to storage, knowing the volume of your packaged products will come in handy during the freight transportation process. It is worth noting right away that literally every type of transport should be understood here – transportation of packaged goods and by car, and on a plane, and on a ship, and by railway carried out based on two main parameters - the volume of the cargo and its weight. At the same time, it does not matter significantly which freight carrier you choose to deliver your products - volume, as the main value for assessing cargo and, as a consequence, the cost of its transportation, is used by both private and public transport and postal companies.

Calculation of the volume of standard rectangular and square boxes

This type of volume calculation is perhaps the simplest, since it is familiar to all of us from school. The volume in this case reflects the dimensions of the object in a three-dimensional plane and for any rectangular or square cardboard box will determine its capacity. To determine the volume, you will need to perform a few simple calculations: measure the length, width and height of the box, and then multiply the resulting values. If you are going, knowing only the dimensions of the product or cargo that will be packed in it, then you should measure the dimensions of the cargo and add 5-10 millimeters to each of the dimensions (length, width, height), and then multiply the resulting values.

Now let's analyze these mathematical operations more clearly and step by step:

In the international measurement system, the formula is used to calculate the volume of a rectangular or square object (in our case, a cardboard box): Vm3 = L x W x H

V is, in fact, the volume that we need to calculate
L – box length
W – box width
H – height of the box (the term “depth” can also be used, which, in general, is the same thing)

Let us analyze this formula for calculating the volume of cardboard boxes using a specific example with explanations. Let's say you want to calculate the volume of a four-flap cardboard box for packaging, say, electronics and household appliances. How to do it? We answer.

To begin with, you should immediately decide which units of measurement you will use in your measurements - meters, centimeters or millimeters. It is important that all measurements of your box parameters are the same to avoid inaccuracies and confusion. And the second important point is the internal and external dimensions of the box. To accurately measure the volume of a cardboard box, you need to understand why you need the exact volume of this box. If you want to know the volume in order to accurately calculate the size of the cargo that will be packed in it, then use the internal dimensions. And if you need, in order to maximally fill the body of a vehicle with products packaged in such boxes, then use the external dimensions.

This point is very important if you want to get accurate data without any degree of error.

We've sorted out the theory, now let's move on to practical actions - we measure our box and calculate its volume.

Step #1

First, you should measure the length of the box. Look at the box from top to bottom and you will see that it is shaped like an equilateral rectangle. The longest side of the box is the length, designated by the letter “L” (from the English “length” - length). Measure and record the measurement result somewhere so you don’t forget.

Step #2

Next we need to measure the width of our box. In any rectangular cardboard box, the width is the shorter side. According to the international measurement system, the width of a cardboard box is indicated by the letter “W” (from the English “width” - width). Measure and record the measurement result somewhere so you don’t forget. And remember about the same units of measurement for all measurements. For a square-shaped cardboard box, the “length” and “width” values are the same, so you just need to measure one side of the corrugated cardboard box once and substitute the resulting size as both the length and the width of the box.

Step #3

We measure the height of our cardboard box. The height of a rectangular or square cardboard box is generally the size of the side that is perpendicular to the flaps of the box. According to the international measurement system, the width of a cardboard box is indicated by the letter “H” (from the English “height”). The height of the cardboard box is taken to be the distance from the top flap of the box to the bottom flap. Measure and record the measurement result somewhere so you don’t forget.

Step #4

Since all the quantities of interest to us have been determined and measured, we proceed directly to calculating the volume of electronics and electrical appliances that we are interested in for packaging.

According to the international measurement system, the volume of a cardboard box is designated by the letter “V” (from the English “volume” - volume) and is calculated by multiplying the length, width and height of the box.

During the measurement process, we found out that the size of the box is, suppose, 600 x 400 x 400 millimeters. Next, we substitute these values into the formula: Vm3 = L x W x H.

We get:

600 x 400 x 400 = 96000000 mm3, which in cubic meters is 0.096 m3.

Step #5

Now all that remains is to convert the volume of the cardboard box from cubic meters to liters. If the indication of cubic units of volume allows you to understand how many such cubes can be placed inside a box, then the value in liters makes it possible to calculate the volume of a box for packaging small and bulk goods and cargo, for example, groceries and various cereals.

1 m3 = 1000 liters

We substitute our values into this formula and get:

cardboard box with a volume of 0.096 m3 = a corrugated cardboard box with a volume of 96 liters.

That's all, actually! Now you know how to calculate the volume of a rectangular or square cardboard box. In the final part of the article, the editors of the Express Packaging online store will tell you how to calculate the volume of any. For example, the volume of a cardboard box with a complex die-cut shape, or self-assembled.

In the world, quite a lot of objects have a cylindrical shape, the volume of which periodically has to be calculated. This can be a culinary task, or it can be useful in construction. In this case, the scope of use is not so important, but the calculation method is important. In mathematics, which describes various objects and phenomena of our life, theorems and formulas are such means.

Algorithm for determining the volume of a cylinder

Let's return to the method of calculating the volume of a cylinder if its height and radius are known. To begin, you will need to answer a number of simple questions. First you need to determine which cylinder is in front of you.

The classic ideal option is often considered, when a cylinder is obtained by rotating a rectangle around one of its sides, and then the bases are circles, the radii of which are equal to each other, and the height is the generatrix. Such a cylinder is called a straight round cylinder.

The second task in determining the volume of a cylinder is finding the height. Using the rule will be as easy as shelling pears. It is enough just to connect the centers of the circles with each other.

How to calculate the volume of a round straight cylinder

The volume of a round straight cylinder is the product of the area of the circle at the base of the cylinder times the height and is expressed by the following formula:

V = P*R 2 *H, where:

V is the volume of the cylinder;
Π = 3.14 and is a constant value;
R - radius;
H - height.

Solution: V = 3.14*6*2*2=75.36 cm3.

How to calculate the volume of a truncated circular cylinder

The situation changes if we are dealing with a truncated circular cylinder. A distinctive feature of this type of cylinder from the classic one may be that its bases do not lie on parallel planes, and therefore the formula for calculating the volume of a cylinder takes on a slightly different form:

V = P*R 2 *(H 1 +H 2)/2, where:

V is the volume of the cylinder;
R - radius;
H1 - high height;
H2 - lower height.

Solution: V = 3.14*3*3*(5+3)/2 = 113.04 cm 3.

The heights are numbered randomly, so that for solving a specific problem the order can be chosen by the participant himself. As you know, rearranging the places does not change the amount.

There are other types of cylinders, for example: elliptical, parabolic and hyperbolic. They are described by second-order equations, and completely different parameters are needed to calculate their volume.

You may also find these articles useful.

Instructions

You will need

Ruler or tape measure.
Pencil or marker.
A sheet of paper or cardboard or other suitable object with right angles.

Instructions

Let's assume you have a cylindrical water container. You need to fill it with water, but to do this you want to calculate the volume that it will fill.

From school course geometry you know it looks like this:

Now let's determine the area of the base. The area of a circle, as we also know from school geometry, is determined by the formula:

where π is a number indicating the ratio of the circumference and and is equal to 3.14159265...,

note

If you measure the parameters of your cylinder in centimeters, you will get the result in cubic centimeters (cm3). If measurements are carried out in meters, then the result will, accordingly, be obtained in cubic meters (m3).

Helpful advice

If you need to convert cubic centimeters to liters of volume, then multiply the result by 0.001, this will be the volume of the cylinder in liters. If your result is calculated in cubic meters, then multiply it by 1000. For example: as a result of measurements and calculations, you received a volume equal to 0.5 m3. In liters it will be 0.5 x 1000 = 500 liters.

Sources:

Mathematical dictionary

Body weight is one of the most important physical characteristics, which shows its gravitational properties. Knowing the volume of a substance, as well as its density, one can easily calculate and mass body, which is based on this substance.

You will need

The volume of the substance is V, its density p.

Instructions

Let us be given an inhomogeneous object with mass V and mass m. Then it can be calculated using the formula:
p = m/V.
It follows from this that in order to calculate mass, you can use its corollary:
m = p*V. Consider: Let us be given a platinum bar. Its 6 cubic meters. Let's find him mass.
The problem is solved in 2 steps:
1) According to the table of various densities, the density of platinum is 21500 kg/cubic. .
2) Then, knowing the density and volume of this substance, we calculate it mass:
6*21500 = 129000 kg, or 129 tons.

Video on the topic

Cylinder - Stereometric geometric figure, formed by rotating a rectangle around one of its sides, and having circles at its bases. A physical example could be a piece of wire, a tube. To determine the volume of a cylindrical body, you must first determine what type cylinder it has.

How to distinguish a person with a technical background from a person with a humanitarian mindset? Ask everyone what a cylinder is. The first will say that this is a geometric body, the second will remember a men's headdress of the 19th century. Both will be right, and the hat got its name thanks to its special shape, the basis of which was that very figure from geometry. So, what are the features of a cylinder and how to calculate its volume.

Calculation of cylinder volume

The word "cylinder" comes from the ancient Greek kylindros, meaning "roller". Mathematicians give several definitions of a cylinder:

A cylinder is a geometric body bounded by a cylindrical surface and two parallel planes intersecting it at right angles.
A cylinder is a body of revolution that is obtained by rotating a rectangle around its side.
A cylinder is a geometric body that is formed by rotating a rectangle on an axis coinciding with one of its sides.

All these definitions are correct. It is also worth noting the main parts of the cylinder:

Grounds - flat figures, formed by the intersection of a cylindrical surface with two parallel planes.
Side surface cylinder - the surface between the planes of the bases.

If there is a circle at the base of the cylinder, then it is called circular. There are other types of cylinders, depending on the shape of the base - elliptical, hyperbolic, parabolic, etc.

Also, all cylinders are divided into straight and inclined. Each cylinder has generators - these are segments connecting the corresponding points of the bases. If the generators are perpendicular to the bases, then the cylinder is called straight, and if the generators are located at an angle, the cylinder is called inclined or oblique.

There are others general concepts for cylinders:

The bases of the cylinder are equal and lie in parallel planes. The cylinder's generatrices are parallel and equal.
The surface of the cylinder consists of the base and side surface. The lateral surface is composed of generatrices.
The radius of a cylinder is the radius of its base.
The height of the cylinder is the distance between the planes of the bases.
The axis of a cylinder is a straight line passing through the centers of the bases.
The cross section of a cylinder with a plane passing through the cylinder axis is called an axial section.
The plane passing through the generatrix of a straight cylinder and perpendicular to the axial section drawn through this generatrix is called the tangent plane of the cylinder.

So, how to calculate the volume of a cylinder. You can calculate the volume of a right circular cylinder using a calculator. It is equal to the product of the area of the base and the height.

where V is the volume of the cylinder, R is the radius of the base, h is the height of the cylinder, and “pi” is a constant equal to 3.14.

In the same way, the volume of a right circular cylinder is calculated through the diameter of the base circle - d.

If the cylinder is straight, but not circular, then the formula for calculating the volume represents the product of the length of the generatrix - n and the cross-sectional area of the cylinder by a plane perpendicular to the generatrix - S.

If the cylinder is inclined, then the sine of the angle of inclination (alpha) of the generatrix to the base also participates in the formula. In this case, the volume is calculated using the formula:

V = S * n * sin α

The volume of the cylinder is calculated in cubic units.

If the task is to find the volume of a cylinder circumscribed around a sphere, then the calculations will be as follows:

The radius of the cylinder is equal to the radius of the sphere - R. The height of the cylinder is equal to the diameter of the sphere. The diameter is twice the radius - 2R. Thus, the volume of a straight circumscribed cylinder is equal to the product of the base area πR2 (“pi” times the radius squared) and the height, i.e. 2R.

Bringing the formula to its proper form, we get:

If a cylinder is inscribed in a rectangular parallelepiped, then, knowing the length of the side of its base and height, you can find the volume.

In this case, the radius of the base of the cylinder is equal to half the length of the side of the base of the parallelepiped - a. The heights of the cylinder and the parallelepiped are the same, let us denote them as h. Then the volume is calculated using the formula:

Where is the calculation of cylinder volume used?

Students will calculate the volume of a cylinder in high school. In adult life, this knowledge is used in their work by engineers and designers of various machines and mechanisms, consumer goods, as well as architects.

Among consumer goods, glasses, mugs, glasses, pots, thermoses and other utensils, as well as some vases, cans and packaging of drinks or household chemicals, are cylindrical. The volume of such cylindrical objects is calculated in liters.

The volume of the cylinder is calculated in the production of medical syringes. The exact amount of medication administered to the patient during injection depends on the volume obtained. Medicines in liquid form, suspensions, solutions are placed in cylindrical glass or plastic bottles, and the volume of the product is indicated on the label.

Cylinders are also common in technology: shafts and their individual components used in internal combustion engines have this type. In addition, calculating cylinder volume is a task that designers have to solve when designing modern gasoline and diesel power units, because characteristics, primarily power, depend on this parameter. Internal combustion engines are equipped with pistons, which are also cylindrical in shape.

Architects have to calculate the volume of a cylinder when designing buildings with columns. True, these architectural elements V classic version(together with the base and capital) are rare, but simplified varieties consisting of a single barrel (which is a cylinder) are often used.

Extremely common parts that are present in the designs of technical devices are roller bearings. As you might guess from the name, the main component is durable and wear-resistant metal cylindrical rollers. Thanks to this geometry, these parts have high load-bearing capacity and are able to withstand loads. Roller bearings are high-precision parts, and therefore, when creating them, the correct calculation of the volume of the cylinder (roller) plays an important role.