The volume of the rectangle in liters. How to calculate the volume of a container of various shapes. Calculation of the volume of boxes

Reservoirs and tanks are used for transportation and storage various kinds fuel, oil, water and gas, some building materials, chemicals, and food products. Many do not know how to calculate the volume of a container, because they can have a different geometric shape:

• Cone;
• cylinder;
• Spheres;
• Rectangular parallelepiped.

In our article, we will get acquainted with the nuances of the calculation for specific geometric bodies.

How to find out the volume of a rectangular container

In the field of construction, all volume indicators are reduced to specific values. Calculations can be made in liters or dm 3 , but most often to determine the amount of a material are used Cubic Meters. How to calculate the cubature of the simplest rectangular containers will be described further with a specific example.

For work, we need a container, a construction tape measure and a notebook with a pen or pencil for calculations. From the course of geometry it is known that the volume of such bodies is calculated by multiplying the length, width and height of the product. The calculation formula is as follows

V=a*b*c, where a, b and c are the sides of the container.

For example, the length of our product is 150 centimeters, the width is 80 centimeters, and the height is 50 centimeters. For the correct calculation of the cubature, we translate the indicated values ​​\u200b\u200binto meters and carry out necessary calculations V=1.5*0.8*0.5=0.6m3.

How to determine the volume of a spherical product

Spherical products are found in our lives almost every day. It can be a bearing element, a soccer ball or the writing part of a ballpoint pen. In some cases, we need to know how to calculate the cubature of a sphere to determine the amount of liquid in it.

According to experts, to calculate the volume of this figure, the formula is used V=4/3ԉr3, where:

• V is the calculated volume of the part;
• R is the radius of the sphere;
• ԉ is a constant value equal to 3.14.

To carry out the necessary calculations, we need to take a tape measure, fix the beginning of the measuring scale and measure it, and the tape tape must pass along the equator of the ball. After that, the diameter of the part is found out by dividing the size by the number ԉ.

And now let's get acquainted with a specific example of calculating for a sphere if its circumference is 2.5 meters. First, we determine the diameter of 2.5 / 3.14 \u003d 0.8 meters. Now we substitute this value into the formula:

V= (4*3.14*0.8³)/3=2.14m³

How to calculate the volume of a tank made in the form of a cylinder

Similar geometric shapes are used for food storage, fuel transportation and other purposes. Many do not know how to calculate the volume of water, but we will describe the main nuances of such a process later in our article.

The height of the liquid in a cylindrical container is determined by a special device called a measuring rod. In this case, the capacity of the tank is calculated according to special tables. Products with special tables for measuring volume are rare in life, so let's approach the solution of the problem in a different way and describe how to calculate the volume of a cylinder using a special formula - V \u003d S * L, where

• V is the volume of the geometric body;
• S is the cross-sectional area of ​​the product in specific units of measurement (m³);
• L is the length of the tank.

The L indicator can be measured using the same tape measure, but the cross-sectional area of ​​\u200b\u200bthe cylinder will have to be calculated. The S index is calculated by the formula S=3.14*d*d/4, where d is the diameter of the cylinder circumference.

Now let's take a look at a specific example. Let's say the length of our tank is 5 meters, its diameter is 2.8 meters. First, we calculate the cross-sectional area of ​​​​the geometric figure S = 3.14 * 2.8 * 2.8 / 4 = 6.15m. And now you can start calculating the volume of the tank 6.15 * 5 = 30.75 m³.

To calculate the volume of a body or substance in liters, you need to know its volume, expressed in other units of measurement. If the volume of the body is previously unfamiliar, then it can be calculated through mass and density. There are special methods and tools for measuring mass and density.

You will need

• calculator, scales, substance density tables

Instruction

1. If the volume is given in cubic decimeters (dm?), then the volume in liters expressed in the same number. Therefore, it is easy to change the unit of measure dm? per liter (l). Vl \u003d Vdm? To convert the volume given in cubic meters (m?), Multiply the specified numerical value by 1000. ) or milli liters(ml), divide the given numerical value by 1000. Vl \u003d Vcm? / 1000 \u003d Vml / 1000. In order to calculate the volume in liters, if it is given in deca liters(dl) or buckets, multiply the number of decaliters by 10: Vl \u003d Vdl * 10

2. If the volume is given in non-metric units (national or household), use the following instruction: liters, multiply it by 3.7854. Do the same with other units of volume: overseas quart - multiply by 0.9464; overseas gallon - 3.7854; overseas dry barrel - 115.6270; overseas bushel - 35.2391; overseas liquid barrel - 119.2400; oil barrel - 158 .9873; imperial gallon - 4.5461; imperial quart - 1.1365; imperial pint - 0.5683; imperial ounce - 0.0284; overseas pint - 0.4732; overseas ounce - 0.0296; imperial bushel - 36, 3687; teaspoon - 0.005; tablespoon - 0.0148; mug - 1.23 (conditionally); glass - 0.2; cubic inch - 0.0164; cubic foot - 28.3168.

3. If the volume of a body or liquid is unfamiliar, then calculate it using the following formula: V \u003d m * p, where: V is the desired volume, m is the mass of the body, liquid or substance, p is its density. If the body mass is unfamiliar, then determine it weighing. Find the density of the substance in the density tables. The resulting volume value will be in liters if the mass is given in grams (g) and the density is given in grams per liter (g/l). In other cases, convert the volume to liters using the instructions above.

When working with small volumes, the milliliter (ml) volume unit is often used. A milliliter is a thousandth of a liter. That is, one liter contains one thousand milliliters. In order to convert liters to milliliters, you don’t even need a calculator - quite simple knowledge in mathematics.

You will need

• - pencil,
• - paper.

Instruction

1. In order to convert liters to milliliters, primitively multiply the number of liters by 1000. That is, apply the following primitive formula: Kml \u003d Cl x 1000, where Kml is the number of milliliters, Cl is the number of liters. So, say, one teaspoon contains approximately 0.005 liters of liquid. Consequently, the volume of a teaspoon, expressed in milliliters, will be: 0.005 x 1000 \u003d 5 (ml).

2. If the number of liters is an integer, then to convert liters to milliliters, primitively add three zeros to the number of liters on the right. Let's say that approximately 10 liters of water fit in one bucket. This means that the volume of this water in milliliters will be: 10 x 1000 \u003d 10,000 (ml).

3. If the number of liters is given as a decimal fraction, move the decimal point three places to the right. Let's say a kilogram of gasoline occupies a volume of approximately 1.316 liters. Consequently, in milliliters, a kilogram of gasoline will have a volume of 1316 (ml).

4. If there are less than 3 digits later than the decimal point, then complete the missing digits with zeros. So, let's say, 0.2 liters of liquid fit in one glass. In milliliters, it will be - 200 (ml) (officially it turns out 0200 ml, but the insignificant zero on the left can be discarded).

5. If all the initial data of the task are given in liters, and the result is required to be presented in milliliters, then carry out all intermediate calculations in liters, and convert to milliliters only after the end of all calculations. Let's say if 1.325 liters of black paint were mixed to prepare the paint of the required shade, 0.237 liters of red, 0.587 liters of green and 0.54 liters of blue, then to calculate the total number of paint in milliliters, add the indicated numbers in liters, and multiply the total by 1000.1.325 + 0.237 + 0.587 + 0.54 = 2.6892.689 x 1000 = 2689 (ml).

Note!
Converting liters to milliliters is often used in calculations related to the preparation of medicines and other energetic solutions. With such calculations, be very careful - if everyone makes a mistake by one decimal place, the result will change ten times.

Useful advice
Note that the density of water is 1000 g/l or 1 kg/l or 0.001 t/l. Consequently, in order to calculate the known mass of water in liters, it is easy: divide the mass in grams by 1000; multiply the mass in tons by 1000; take the mass of water in kilograms equal to the volume in liters.

All measurements are in mm

H— Liquid level.

Y- Reservoir height.

L- The length of the container.

X- The tank is wide.

This program performs calculations of the volume of liquid in rectangular containers of various sizes, it will also help to calculate the surface area of ​​the tank, free and total volume.

As a result of the calculation, you will find out:

• The total area of ​​the tank;
• Lateral surface area;
• bottom area;
• Free volume;
• The amount of liquid;
• Capacity volume.

Technology for calculating the amount of liquid in tanks of various shapes

When the container has an irregular geometric shape (for example, in the form of a pyramid, parallelepiped, rectangle, etc.), it is necessary first of all to measure the internal linear dimensions and only after that to make calculations.

The calculation of the volume of liquid in a small rectangular container can be manually performed as follows. It is necessary to fill the entire tank with liquid to the brim. Then the volume of water in this case will be equal to the volume of the tank. Next, carefully drain all the water into separate containers. For example, in a special reservoir of the correct geometric shape or a measuring cylinder. On the measuring scale you can visually determine the volume of your tank. To calculate the amount of liquid in a rectangular container, it is best for you to use our online program, which quickly and accurately perform all calculations.

If the tank is large and it is not possible to manually measure the amount of liquid, then the gas mass formula with a known molar mass can be used. For example, the mass of nitrogen is M = 0.028 kg / mol. These calculations are possible when the tank can be closed tightly (hermetically). Now, using a thermometer, we measure the temperature inside the tank, and the internal pressure with a manometer. Temperature must be expressed in Kelvin and pressure in Pascals. The volume of internal gas can be calculated using the following formula (V=(m∙R∙T)/(M∙P)). That is, we multiply the mass of the gas (m) by its temperature (T) and the gas constant (R). Next, the result should be divided by the gas pressure (P) and molar mass(M). The volume will be expressed in m³.

How to calculate and find out the volume of an aquarium by size yourself

Aquariums are glass vessels that fill clean water up to a certain level. Many aquarium owners have repeatedly thought about how large their tank is, how to perform calculations. The easiest and most reliable method is to use a tape measure and measure everything. required parameters, which should be driven into the appropriate cells of our calculator, and you will immediately receive the finished result.

However, there is another way to determine the volume of the aquarium, which is a longer process, using a liter jar, gradually filling the entire container to the appropriate level.

The third method for calculating the volume of an aquarium is a special formula. We measure the depth of the tank, height and width in centimeters. For example, we got the following parameters: depth - 50 cm, height - 60 cm and width - 100 cm. According to these dimensions, the volume of the aquarium is calculated by the formula (V \u003d X * Y * H) or 100x50x60 \u003d 3,000,000 cm³. Next, we need to convert the result to liters. To do this, we multiply the finished value by 0.001. From here it follows - 0.001x3000000 centimeters, and we get, the volume of our tank will be 300 liters. We have calculated the total capacity of the container, then we need to calculate real level water.

Each aquarium is filled significantly lower than its actual height, in order to avoid overflow of water, to close the lid, taking into account the screed. For example, when our aquarium is 60 centimeters high, then the glued screeds will be located 3-5 centimeters lower. With our size of 60 centimeters, a little less than 10% of the volume of the container falls on 5 cm ties. From here we can calculate the real volume of 300 liters - 10% \u003d 270 liters.

Important! A few percent should be taken away, taking into account the volume of glasses, the size of the aquarium or any other container, we remove it from the outside (without taking into account the thickness of the glasses).

From here, the volume of our tank will be equal to 260 liters.

Enter dimensions in millimeters:

X– The width of the container, the transverse distance between the walls.

Y– Tank length, i.e. its length, the largest linear dimension in the longitudinal direction.

L- The height of the container is determined by the height of its walls.

h- The height of the liquid level, it is determined by a measuring ruler (the so-called meter rod), if there is no such tool, an ordinary rod made of wire or wood of suitable length will do. Observing safety measures, lower the rod strictly vertically into the tank to the bottom, mark the level on it, remove it and measure it with a tape measure. Also define h can be measured by measuring the distance from the top of the tank to the surface of the liquid and subtracting this figure from the height of the tank L.

The online calculator will help you calculate the total volume of the tank and find out the maximum capacity of the tank (in m 3 and liters). Find out how much substance is already in the container. The value of the free volume will give an idea of ​​how much liquid can still be poured into the container. Also, the program will calculate the bottom area, the side surface area and the total area of ​​the tank, which will help you easily calculate the required amount of materials for finishing the entire tank or its parts.

Before everyone who decides to embark on an exciting and mysterious path of home aquarism, sooner or later the question arises: what size of the aquarium to choose and what size aquarium do I have now? How to calculate this value, choose the optimal volume and why it is important, we will answer in the article.

Why is it better to calculate the volume yourself

Of course, you can also contact the consultants of the store where you are going to buy the container. As available, are presented in standard sizes: 5, 10, 15, 20, 25, 70, 100 liters, etc. But there is a catch in these mean numbers. They are very exemplary. Firstly, what volume are we talking about: after all, for an aquarium it is actual and useful, which is somewhat smaller (as a rule, the aquarium is not filled to the very edge, lamps are located on the lid, and about five centimeters of soil are laid on the bottom of the aquarium, snags are placed , stones, plants). Measurements can be taken along the outer and inner walls, which can significantly affect the volume - glass can reach a thickness of two centimeters.

What affects the volume of the aquarium

The number of fish (snails, shrimps, frogs, crayfish and other aquatic creatures) that you can have depends on the volume of the aquarium. Their number depends on the size, aggressiveness, territoriality and susceptibility to stress of these animals. Modern world pet stores offer a whole range of products for aquarium lovers: products for softening chlorinated water, for the destruction of harmful algae, liquid mineral medicines for fish. As a rule, these additives should be applied based on the volume of water. Naturally, it is very important to know exactly which aquarium is for you - you must not allow an overdose and poisoning of animals.

What you need to measure

It doesn't take much to measure the size of an aquarium. Ruler (a sewing centimeter is also suitable, a construction tape measure - any measuring device), calculator and restoration in memory of a school course in physics and geometry.

aquarium in liters. Formula for different types of aquarium

This will be easiest if the aquarium has the shape of a cube or parallelepiped. Before calculating the volume of the aquarium in liters by size, write them down in centimeters. Let A be the length of the base, B the width of the base and C the height of the aquarium. The result of multiplying these values ​​will give us the volume of the aquarium in cubic centimeters. To convert this value to liters, you need to multiply the resulting value by 0.001. That is, the formula looks like:

The volume of the aquarium in the form of a cube in liters = A * B * C * 0.001.

The type of cylindrical aquarium is common (it is especially popular as a marine option). To measure its volume, let's measure in centimeters the radius of the base (denoted by R) and the height of the wall of the aquarium (denoted by H). Multiply the square of the radius by pi and by the height. The result is the volume of the aquarium in cubic centimeters. How to calculate the volume of an aquarium in liters? Multiplying by 0.001. The formula is converted:

Volume of a cylindrical aquarium in liters = πR^2*H*0.001.

Volume of a spherical aquarium in liters = πR^3*0.001*3/4.

How to calculate the volume of the aquarium in liters in other ways

Of course, using well-known formulas, you can divide this complex figure into several simple ones, fit it into a cube or a ball and, having calculated their volumes, mentally cut off extra liters. But there is a much simpler and reliable way. This requires a measuring container and, in fact, the “jar” itself (our aquarium). It is logical that the volume of water that filled the aquarium will be equal to its capacity. This method is good because it can take into account the volume of soil, large decorative elements, plants, an internal filter and other devices already in the aquarium, and, accordingly, give out only the volume of water included in it. The Internet will come to the rescue. There are many online calculators on the network, with which it will not be difficult to calculate the volume of an aquarium.

Choosing the Size of Your Home Aquarium

Now, knowing how to calculate the volume of the aquarium, you can proceed to this responsible choice. The main mistake that a beginner in this business can make is choosing too little volume. An aquarium is a kind of ecosystem. There are plants that produce oxygen in the light during photosynthesis, there are fish that scrape harmful algae from the leaves and walls of the vessel, there are snails and shrimps that collect the remains of uneaten food and dead parts of plants. The larger the aquarium, the more complete this ecosystem will be. Therefore, starting aquariums less than 50 liters is not recommended - it will be difficult to care for them. Optimal size aquarium - from 100 liters.

And it is better to refuse or too intricate form - the fish in them are more prone to stress, there are fewer opportunities to plant plants. Even banal aquariums with a rectangular base can serve for different purposes: low aquariums are chosen for a paludarium (aquarium-herbalist). Shrimp can come in a variety of shapes, but the most common are those with a square bottom, "cubes".

And it is better to abandon aquariums that are round or too intricate in shape - the fish in them are more prone to stress, there are fewer opportunities to plant plants. Even banal aquariums with a rectangular base can serve for different purposes: low aquariums are chosen for a paludarium (aquarium-herbalist). Shrimp can come in a variety of shapes, but the most common are those with a square bottom, "cubes".

For aquarium fish a slightly flattened parallelepiped with a height of no more than 70 cm will be good (height does not matter for fish, but aquarium plants will not receive enough light and perform an aesthetic function). Thus, the volume, shape and size of the aquarium must be approached with all responsibility and intelligence.