Advice 1: How to convert square meters to cubic meters

When solving physics problems often have to translate physical quantities from one unit of measure to another. Typically, this is similar, so-called a decimal fraction and multiples of units, differing only in the multiplier. For example, grams and kilograms, meters, and kilometers. In practice, however, it is sometimes necessary to convert a rather disparate units of measurement, such as liters and kilograms or square meters.
How to convert square meters to cubic meters
Instruction
1
To translate the square meters to cubic meters, you need to know the thickness or height of those objects or areas for which the amount is converted. Typically, such transfer is a payment for some construction materials, premises and vessels. The cubic meters are used to measure or calculate the volume, square meters to represent the area.
2
For the translation of square meters per cubic multiply the square base to the height (thickness, depth), measured in meters. If the thickness of the material (subject) is measured in other units (millimeters, centimeters, decimeters), you must first ensure that it is in meters.
3
Example.
The construction required to lay 500 square feet of flooring boards with a thickness of 2 cm.
Question.
How many cubic meters of boards will it take?
Solution.
1. Set the thickness of the boards in meter: 2 (cm) / 100 = 0,02 (m).
2. Multiply the area of the boards for thickness: 500 (m2) * 0,02 (m) = 10 (m3).
Response.
The volume of boards will be 10 m3.
4
Example.
The basin area is 1000 square meters, and its depth is 2 meters.
Question.
How many cubic meters of water required to completely fill the pool?
Solution.
Multiply the area of the basin at depth: 1000 (m2) * 2 (m) = 2000 (m3).
Response.
To fill the pool will require two cubic metres of water.
5
To properly translate the height (thickness, depth) in meters, use the following equations:
if the height is given in kilometers (km), multiply it by 1000;
if in decimeters (DM) – divide by 10;
if in centimeters (cm) divide by 100;
if in millimeters (mm) divide by 1000;
if in microns (µm) – divide by 1000000.
6
If the height (thickness, depth) are given in mixed units of measurement, write down the number in decimal.

Example.
Growth in the measurement was 1 meter 88 centimeters.
Question.
How much of human height is in meters?
Solution.
Since a centimeter is a hundredth part of the meter, then 1 m 88 cm can be written as 1 m + 0.88 m, which is equal to: 1,88 m.
Response.
Human height – 1.88 meters.

Advice 2: How to convert square meters to square kilometers

To be able to specify the size of a limited section of the plane, mathematicians introduced the definition of "surface area". To quantify this characteristic at different times and in different countries used different units. Today, most countries use recommended in the international system, SI unit of area measurement is square meters , and a multiple of their size, including square kilometers.
How to convert square meters to square kilometers
Instruction
1
Divide the resulting measurement in square meters the size of a surface in a million to change the value in square kilometers. This conversion factor is derived directly from the name of the unit of measurement is "square kilometer". The prefix "kilo" in the SI system is used to refer to thousandfold increase in the unit - which is a word derived from the Greek meaning thousand. And the word "square" indicates that this thousand be raised to the second power, i.e. multiplied by itself. One thousand squared, will result in a unit with six zeros is a million.
2
Move the decimal point in the original value six positions to the left to convert square meters into square kilometers. This operation does not even require to make any calculations.
3
If there are problems with conversion, then use the online calculators to convert units of area measurement - in the Internet you can find a lot of. For example, go to the page http://convertworld.com/ru/ploshhad/Квадратные+meters.the html in the box under "I want to" specify the initial size in meters. In the drop-down list next to the field "square meters" is selected by default, and in the next drop-down list to specify the desired accuracy of the result of the conversion. Immediately after that, opposite to "square Kilometer", you will see the equivalent of the initial value, expressed in square kilometers.
4
Search engines also know how to convert units of area measurement. To download, for example, the home page of the Google search engine and type the appropriate query. For example, if you want to translate 1587 m?, the query could look like this: "1587 square meters in square kilometers". The Google calculator will recalculate and display the result: "1587 (square meters) = 0.001587 square kilometre".

Advice 3: How to convert square millimeter

In 1960 adopted the international system of units SI (System International). For the needs of science and technology this system was introduced 7 base units: meter, kilogram, second, ampere, mole, Kelvin and Candela, as well as their derivatives. The same for the whole world units greatly facilitate the understanding of scientists of all countries. Difficulties arise only when the values more or less than is commonly SI. And this happens often. For example, the area of the countries measured in square kilometers, and the cross-sectional area of the electric cable in square millimeters.
How to convert square millimeter
You will need
  • The ability to perform arithmetic operations with degrees
Instruction
1
For translation in square millimeters square meters look closely at the word "millimeter" more closely. It consists of two parts. The root "meter" is a unit of length in SI. The prefix "Milli -" means a thousandth of something, and is the literal entry of a decimal multiplier: 0.001 or 10^-3. Conditionally write it like this: 1mm=10^-3M. thus, any length, expressed in millimeters, can be represented as follows: Hm = X•10^-3 M. for Example: 27mm=27•10^-3M.
2
Square millimeter is a millimeter, multiplied by the millimeter, or 10^-3M squared: mm^2= (10^-3) ^2 m^2=10^(-3•2) m^2=10^-6m^2. Ie, instead of the first letter "m" (miles), write "10^-6".For example: 51mm^2= 51• (10^-3) ^2 m^2=51•10^-6 m^2.
3
The same method give not only SI millimeters squared, but in Cuba and in any other degree. Example: 394мм^3=394•(10^-3)^3 m^3=394•10^-9 m^3, 68mm^-6=68•(10^-3M)^-6 m^-6=68•10^18 m^-6.
4
In this way translate into various degrees and other fraction and multiples of a meter.For example: 79cm^3=79•(10^-2m)^3 m^3=79•10^-6 m^3, 422 km^2=422•(10^3M)^2 m^2=422•10^6 m^2.
Note
In forest and agriculture area is measured in hectares (ha). Remember that 1 hectare=1•10^4 m^2
Useful advice
For translation, the SI note the multipliers and prefixes that are most often used:
10^9 – Giga,
10^6 – mega-,
10^3 – kilo,
10^-1 – deci-,
10^-2 – centi-,
10^-3 – Milli-,
10^-6 – micro.
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