How many liters are in the cube

To answer this question, it is necessary to understand such concepts as "liter" and "cube". But for those who do not intend to read the article to the end, the answer to the question "How many liters in a cube or in 1 cubic meter?" Will be unambiguous - 1000 liters. Now everything is in order.

What is liter? Liters are units of measurement. The Russian Federation has GOST 8.417-2002, which establishes designations, gives definitions and describes how to use units of physical quantities. The document lists the main units of measurements according to the International SI system and their derivatives. The meter refers to the main ones. This is the path traveled in vacuum by light for a period of time, which is 1/299792458 seconds. Values such as area or volume are measured by derived units: square meter (m2) and cubic meter (m3). In Table No. 6 of GOST 8.414-2002, units of measurement not included in the SI system are listed and allowed to be used without restrictions. A liter (liter) pertains to extrasystem units. It is used to measure physical quantities such as volume or capacity. 1 liter = 1 dm³ = 10-3 m³. Thus, you can calculate how many liters in a cube of water. Since 1 m contains 10 dm and 1 m³ = 1 m • 1 m • 1 m, then 1 m³ = 10 dm • 10 dm • 10 dm = 1000 dm³ = 1000 l.

With the word "cube", derived from the Greek "kybos", the situation is more complicated, since it has several meanings.

1. He denotes a geometric body, which is a regular polyhedron - a hexahedron, each face (of which only six) is a square. If the side of the square is 1 m, then this body occupies a volume equal to 1 m³ or 1000 l. But if the side of the face is different, for example, 3 m, then the answer to the question "How many liters in a cube?" Will be different. Such a polyhedron occupies a volume of 3 m • 3 m • 3 m = 9 m³ = 9000 liters.
2. The talking "cube" should be understood as a volume equal to 1 meter cubic. It is used, for example, to estimate the amount of excavated soil or the volume of the pumped liquid. If you ask: "Water cube - how many liters?", In this case, the answer follows from GOST 8.417-2002, which determines the ratio of units, that is, the cube of water is 1 m3 = 1000 liters.
3. In mathematics, the word "cube" denotes the degree of a number that must be multiplied by itself three times. In this case the question "How many liters in a cube?" Is inappropriate.
4. In a number of production processes (for example, in heat power engineering, the chemical industry) and at home, the word "cube" can designate an apparatus in which the liquid boils for its evaporation or distillation (distillation). These devices most often have a shape different from the regular polyhedron (hexahedron). Usually they are cylindrical. How in this case to calculate how many liters in a cube? Using the ratio of units, you need to multiply the known volume of the device in cubic meters by 1000, as a result, its volume in liters will be obtained.

To recalculate the volume expressed by other units of measure, for example, cubic centimeters, kilometers or millimeters, you should go back to GOST 8.417-2002. More precisely, to its table number 7, which describes the rules for the formation of designations and the names of decimal multiple and lobular units of physical quantities included in the SI system. For these purposes, consoles are used (there are 20 of them in the table), which correspond to decimal multipliers. When adding a prefix (for example, iota, peta, giga, kilo, deca, centi, milli, etc.) to the basic unit, it becomes clear which decimal multiplier should be multiplied by the basic value in order to obtain a multiple unit of measurement.

The prefix "kilo" corresponds to the multiplier 10³ (or 1000). "Santi" - 10² (or 100). "Milli" - 10-³ (or 1/1000). As an example, you can calculate how many liters are in a cube (a regular polyhedron) whose face side is 0.3 km (km), 3 centimeters (cm) or 3 millimeters (mm).

1. For the first case: 0.3 km • 0.3 km • 0.3 km = 0.009 km³. Since 1 km = 1000 m, then 0.009 km³ = 9000000 m³ = 9000000000 l.
2. For the second case: 3 cm • 3 cm • 3 cm = 9 cm³. Since 1 cm = 1/100 m, then 9 cm³ = 0.000009 m³ = 0.009 l. For such volumes, a unit of measurement, commonly called a milliliter (ml) and equal to 1 cm³ or 10-³ l, is usually used.
3. For the third case: 3 mm • 3 mm • 3 mm = 9 mm³. Since 1 mm = 1/1000 m, then 9 mm³ = 0.000000009 m³ = 0.000009 l. To make any actions with such numbers is inconvenient, so use a unit of measurement called a microliter (μl), which is 10-³ ml or 10-6 l.

Obviously, for the correct answer to the question "How many liters in a cube?" Or for any translation of units of measurements, it is necessary to use the interstate standard GOST 8.417-2002 (adopted by ten CIS member countries). The presence in his designation of the number eight with a dot indicates its belonging to metrology (a science that ensures the uniformity of measurements and achieves the necessary accuracy). For information: standards, in the designation of which there is a number twelve with a dot, contain requirements for ensuring safe working conditions.