Advice 1: How to find mass of a cube

Sometimes in practice and in solving school problems you want to find the mass of the cube. To give the correct answer to this question needs first to be clarified: what is meant by "cube". Students usually have to find the mass of this cube, sometimes quite large. In everyday life, under the weight of a cube usually involve the mass of one cubic meter of a substance.
How to find mass of a cube
You will need
  • calculator, table of density of a substance.
Instruction
1
To find the mass of the cube as a physical body, measure the edge length of the cube and determine the density of matter, which consists of cubic edge Length of a cube record in meters (m), and the density in kilograms per cubic meter (kg/m3). To determine density, use the appropriate tables of the density of a substance. If the density of the substance expressed in g/cm3, then transfer to kg/m3 multiply this number by 1000. Then multiply the density of matter on the Dean of the cube erected in the third degree. That is, use the formula:
M = N * P3,
where:
M – mass of the cube in kilograms,
P is the density of the cube in kg/m3,
R is the edge length of the cube in meters.
2
Example.
What mass will have an ice cube size of 1 cm?
Solution.
Find in the table the substance density: the density of ice is equal of 0.917 g/cm3. Translate the density and size of the cube in the system of SI units:
1cm=0.01 m,
Of 0.917 g/cm3=917 kg/m3.
Substitute numbers into the formula, we get:
M = 917 * 0,013 = 0,000917 (kg).
3
If the size of the cube is unknown and difficult to measure, then determine the volume of the cube. To do this, place the cube in a measuring vessel with water and determine the volume of liquid displaced by it.
Alternatively, it is possible to determine the mass of the displaced water cube. The mass of the displaced water in grams, multiplied by 1000000 will equal the volume of cube in m3.
After determining the volume of the cube and its density, find its mass using the following formula:
M = P * V,
where: V is a classical designation of the volume.
4
If you just need to find the mass of the cube, then, apparently, means the mass of a cubic meter of any substance. It may be fluid, granular substance or material (e.g., boards). To determine the mass of a cube in this case, just specify the density of the substance. The numerical value of the density, expressed in kg/m3, and is the mass of the cube in kilograms. In this case, note that the density of water and weak aqueous solutions is equal to 1000 kg/m3, i.e., the mass of a cube of water is equal to 1000 kg (one ton).

Advice 2: How to find the volume of a cube formula

When solving many mathematical and physical problems it is required to find the volume of a cube. Since the cube is perhaps the simplest stereometric figure, then the formula for calculating its volume very simple. The volume of a cube equals the cube (third-degree) the lengths of its edges. However, it is not always the edge length is preset. In such cases it is necessary to use other formulas for finding the volume of a cube.
How to find the volume of a cube formula
You will need
  • calculator.
Instruction
1
To find the volume of a cube if you know the length of its edges, use the following formula:
V = A3, where V is the volume of a cube and the length of his ribs.
Calculated according to this formula the volume of a cube will have the proper cubic unit of measurement. For example, if the edge length is specified in millimeters (mm), the volume of a cube is measured in cubic millimeters (mm3).
2
To calculate the volume of a cube according to the above formula, take a scientific calculator. Type on the keyboard of the calculator the numerical value of the length of the edges of the cube. Click on the calculator button exponentiation. Depending on the type of calculator, this button may have a different view. But usually it's a couple of characters such as "xy" or "ab", and the second is slightly smaller and located a little higher. After you find and click the exponentiation, press the number "3" and then "=". The numerical value of the volume of a cube will appear on the display of the calculator.
3
To calculate the volume of a cube in ordinary ("accounting") calculator, use a simplified entry of the formula:
V = a * a * a, where V is the volume of a cube and the length of his ribs.
Enter the numeric value of the length of the ribs. Then press the multiply "x". Again, type the length of the ribs. Again, hit "x". And finally, re-type the length of the ribs. Then click "=".
4
To calculate the volume of a cube on the computer, use Windows calculator. Run the Calculator (start - > Run -> type calc). Switch to the mode of carrying out engineering calculations ("View" -> "Engineering"). Type on the virtual keyboard of the calculator or on the computer keyboard is the edge length of the cube. Then just press the virtual button "x^3". All the result is ready. Click on the button "=" is not necessary.
5
If the edge length of the cube is unknown, and set any other of its characteristics, to calculate its volume (V) use the following formulas:
V = (d / √2)3, where d is the diagonal of the cube face,

V = (D / √3)3 where D is the diagonal of the cube.

V = 8 * r3, where r is the radius of the sphere inscribed in a cube.

V = (2R / √3)3, where R is the radius of the sphere circumscribed about the cube.
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