Calculate cubic volume. How to calculate the volume of a container of various shapes

How to calculate the volume of a room in m3

  • If the room is rectangular, without niches and ledges, then everything is simple: we measure the length, width and height of the room and multiply all three numbers. To get the volume in cubic meters, you need to measure in meters.
  • For standard household tasks, accuracy up to a centimeter is sufficient. The result can be rounded up to two decimal places. For example: a room has a length of 5.20 m, a width of 3.43 m and a height of 2.40. Multiply 5.2 x 3.43 x 2.4 = 42.8064. The number can be safely rounded to two decimal places. We get the volume of the room 42.81 cubic meters.
  • Even easier if you already know the area of ​​the room. Then it is enough to measure only its height and multiply it by the number you know. Similarly, you can calculate the volume of any rectangular parallelepiped, even a matchbox, even a refrigerator.

How to calculate the volume in m3 if it is not a parallelepiped?

  • If the room has niches, ledges, or she herself complex shape, the task becomes more difficult. It is necessary to divide the space into several parallelepipeds, calculate the volume of each, and then add them up.

By the way: if you know the area of ​​​​the room, then there will be no complication. Because when calculating the area, everything is already taken into account. So just multiply it by the height of the ceiling.

  • In general, you can measure the approximate volume of any object, even the most non-trivial form, by dividing it into simple rectangular shapes. We measure each separately, calculate the volume for the parts and add up the results. It is clear that such a result will not be very accurate. And the more complex the subject, the greater the error.


What if I want to know the exact volume in m3?

There is a way to find out the volume of any object with high accuracy. But it will only suit you if this thing is not afraid of water and you have a bath of the right size. The fact is that according to the law of Archimedes, a body completely immersed in water will displace an amount of water equal to its volume. That is, it is enough to take a full bath of water, immerse an object in it, collect all the water that will spill over the edges and measure its volume with any accessible way. For example, using a measuring cup.


Measuring volume with high accuracy is a rather non-trivial engineering task. But high accuracy in ordinary life rarely needed. And to get an approximate result, you only need a ruler and a calculator.

The cost of shipping goods is an important issue that interests many of our customers. Majority transport companies prepares a price list for its services, taking into account the volume of cargo in cubic meters - in other words, the volume of the place that the packaged cargo will occupy in the transport compartment of the aircraft, sea ​​container, cargo truck or railway wagon.

Which delivery to choose - air, railway or car?

To navigate the prices for delivery and choose the most optimal view transport, ordering goods from China, you need to know the total volume of cargo in m 3 that you want to receive. A calculator on our website will help you calculate the volume, but in order to quickly get the desired result, you must use the following data:

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

By measuring the main packaging parameters with a ruler, you can calculate the volume of a box or cylinder, and then calculate the volume of the entire consignment in cubic meters. The figures obtained will help you compare the 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 accept important decisions and timely respond 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 necessary numbers in the appropriate fields, and then feel free to click on the "Calculate" button. The volume calculator in m 3 gives the finished result, regardless of the units of measurement in which you entered the tare parameters - in centimeters or meters. The system automatically converts the data to desired format and gives the final result in cubic meters.

Knowing the volume of containers and the total volume of cargo, you can correctly choose suitable type 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 tubes, as well as the entire batch 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 m 3.

How to calculate the volume of a box?

In order to calculate the volume of a box, it is necessary to measure its length, height and width. If you have a sample of packaging for your products, use a ruler to measure. Information about the parameters of the box can also be obtained from the supplier. There are two ways to calculate the volume of a box in cubic meters: using our online volume calculator in m 3 or using the formula yourself. Let's consider both options.

  • In order for the volume calculator to correctly calculate the volume of the box, select the option "Box volume". Measure the box, focusing on the image next to the calculator (or copy the information about its parameters from the seller's website), and enter the numbers into the volume calculation calculator. You can also specify the number of boxes and shipping costs per cubic meter. Click on the "Calculate" button - in the table below you will see the final result: the volume of the box in m 3. If you provided data on the number of boxes and the cost of delivery for calculations, then the plate will also show the total volume of cargo and the estimated amount of delivery.
  • 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). Just 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 goods will be packed in a cylindrical container, and you want to know the volume of 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 in the case of a box, or ask the supplier for packaging parameters. Next, our calculator for calculating the volume 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 volume of cargo in a second! The table with the results 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 gained at school, use the formula V=π*r 2 *h. As we remember, V denotes volume, π is the number "pi" equal to 3.14, r 2 is the radius of the pipe squared, and h is its height. Multiplying all the numbers, you get the volume of the container of a cylindrical shape. Do not 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 the entire load has the same dimensions - the online volume calculator solves such problems in a matter of seconds. And how to calculate the volume of cargo if it is packed in containers of various 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 m 3 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 cost?

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

Instruction

You will need

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

Instruction

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

From school course geometry you know what 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 denoting the ratio of the circumferences and and 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 taken in meters, then the result will be, respectively, obtained in cubic meters (m3).

Useful 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 got a volume equal to 0.5 m3. In liters, this will be 0.5 x 1000 \u003d 500 liters.

Sources:

  • Math 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 matter V, its density p.

Instruction

Let us be given an inhomogeneous 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 different density table, the density of platinum is 21500kg/cu.m. .
2) Then, knowing the density and volume of this substance, we calculate it mass:
6*21500 = 129000 kg or 129 tons.

Related videos

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

Measure all required distances in meters. The volume of many three-dimensional figures is easy to calculate using the appropriate formulas. However, all values ​​substituted into the formulas must be measured in meters. Thus, before substituting values ​​into the formula, make sure that they are all measured in meters, or that you have converted other units of measurement to meters.

  • 1 mm = 0.001 m
  • 1 cm = 0.01 m
  • 1 km = 1000 m
  • To calculate the volume of rectangular shapes (rectangular box, cube) use the formula: volume = L × W × H(length times width times height). This formula can be considered as the product of the surface area of ​​one of the faces of the figure and the edge perpendicular to this face.

    • For example, let's calculate the volume of a room with a length of 4 m, a width of 3 m and a height of 2.5 m. To do this, simply multiply the length by the width by the height:
      • 4×3×2.5
      • = 12 × 2.5
      • = 30. The volume of this room is 30 m 3.
    • A cube is a three-dimensional figure in which all sides are equal. Thus, the formula for calculating the volume of a cube can be written as: volume \u003d L 3 (or W 3, or H 3).
  • To calculate the volume of figures in the form of a cylinder, use the formula: pi× R 2 × H. The calculation of the volume of a cylinder is reduced to multiplying the area of ​​the round base by the height (or length) of the cylinder. Find the area of ​​the circular base by multiplying pi (3.14) by the square of the circle's radius (R) (the radius is the distance from the center of the circle to any point on that circle). Then multiply the result by the height of the cylinder (H) and you will find the volume of the cylinder. All values ​​are measured in meters.

    • For example, let's calculate the volume of a well with a diameter of 1.5 m and a depth of 10 m. Divide the diameter by 2 to get the radius: 1.5/2=0.75 m.
      • (3.14) × 0.75 2 × 10
      • = (3.14) × 0.5625 × 10
      • = 17.66. The volume of the well is 17.66 m3.
  • To calculate the volume of a sphere, use the formula: 4/3 x pi× R 3 . That is, you only need to know the radius (R) of the ball.

    • For example, let's calculate the volume hot air balloon 10 m in diameter. Divide the diameter by 2 to get the radius: 10/2=5 m.
      • 4/3 x pi × (5) 3
      • = 4/3 x (3.14) x 125
      • = 4.189 × 125
      • = 523.6. The volume of the balloon is 523.6 m 3.
  • To calculate the volume of figures in the form of a cone, use the formula: 1/3 x pi× R 2 × H. The volume of a cone is 1/3 of the volume of a cylinder that has the same height and radius.

    • For example, let's calculate the volume of an ice cream cone with a radius of 3 cm and a height of 15 cm. Converting to meters, we get: 0.03 m and 0.15 m, respectively.
      • 1/3 x (3.14) x 0.03 2 x 0.15
      • = 1/3 x (3.14) x 0.0009 x 0.15
      • = 1/3 × 0.0004239
      • = 0.000141. The volume of an ice cream cone is 0.000141 m 3.
  • To calculate the volume of figures, do not correct form use multiple formulas. To do this, try to break the figure into several shapes of the correct shape. Then find the volume of each such figure and add up the results.

    • For example, let's calculate the volume of a small granary. The storage has a cylindrical body 12 m high and a radius of 1.5 m. The storage also has a conical roof 1 m high. By calculating the volume of the roof and the volume of the body separately, we can find the total volume of the granary:
      • pi × R 2 × H + 1/3 x pi × R 2 × H
      • (3.14) x 1.5 2 x 12 + 1/3 x (3.14) x 1.5 2 x 1
      • = (3.14) × 2.25 × 12 + 1/3 x (3.14) × 2.25 × 1
      • = (3.14) × 27 + 1/3 x (3.14) × 2.25
      • = 84,822 + 2,356
      • = 87.178. The volume of the granary is 87.178 m3.
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