Advice 1: How to translate the volume-to-mass

Any object has mass and volume. And this is - an axiom. But, besides these two parameters, there is a third is density of the substance, which consists of a body (fluid). Knowing the density of the body quite easily translate volume to weight.
The formula for finding the mass of the body through its volume
You will need
  • Know from the table the density of a substance the exact density, which characterizes the substance of the original body.
For clarity, it is necessary to consider an example. For example, given a concrete block, the volume of which is 4 m?. Now, turning to the table of densities of various substances shows that the density of concrete is 2300 kg/m?
Table of densities of various substances
Now, according to the formula for finding body mass, you can calculate:
m = 2300*4 = 9200 kg.
Thus, the mass of the concrete block with a volume of 4 m? will amount to 9.2 tons.
Before doing the translation of volume to weight, you should always remember that the units must be converted to SI units: kilograms and meters. Therefore, if the original data specified units, other than those given above (e.g., grams, milligrams, centimeters, millimeters), it is necessary to translate them. For their translation we need to know:
1 kg = 1000 gr. = 1000000 mg.
1 m = 100 cm = 1000 mm.

Advice 2: How to convert from kg to m

The number of tasks you need to know in a piece of material what length is the specified weight. In this task, knowing the pounds, you need to find the meters. This translation requires knowledge of the linear density or ordinary density of the material.
How to convert from kg to m
You will need
  • the linear density or the density of the material
Units of mass are converted to units of length by using a physical quantity called linear density. In the SI system it has the dimension of kg/m. This value differs from the usual density that expresses the mass per unit volume.

Linear density is used to characterize the thickness of threads, wires, fabrics, etc., as well as for the characterization of beams, rails, etc.
From the definition of linear density, it follows that for the translation of the mass in the length needed to divide the weight in kilograms per linear density in kg/m this gives you the length in meters. This length will contain this mass.
In that case, if you are aware of the normal density with the dimension kg per cubic meter, to calculate the length of the material, which contains weight, you must first obtain a volume of material, encompassing the mass. To do this, divide the mass by the density. Then, the resulting amount is divided by the cross sectional area of the material. Thus, the formula for the length would be: l = V/S = (m/p*S) where m is the mass and V is the volume containing the mass, S is the cross - sectional area, p is the density.
In trivial cases, the cross section of the material will have either a round or rectangular shape. The area of the circular section is equal to pi*(R^2), where R is the radius of the cross section.

In the case of rectangular cross section, its area is equal to a*b, where a and b are the lengths of the sides of the section.

If the cross section has an irregular shape, then you need to find the area of the geometric shape in cross-section.
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