Cube call a volume polygon with six sides of the correct form - the correct hexahedron. The quantity of the correct sides defines a form of each of them are squares. It is, perhaps, the most convenient of many-sided figures in terms of determination of its geometrical properties in the three-dimensional system of coordinates habitual to us. All its parameters can be calculated, knowing only length of one edge.
Instruction
1. If you have certain physical object in the form of a cube, then for calculation of its volume measure length of any side, and then use the algorithm described in the following step. If such measurement is impossible, then it is possible, for example, to try to determine the volume of the forced-out water, having placed in it this cubic object. If it is possible to find out amount of the forced-out water in liters, then the result can be transferred to cubic decimeters - one liter in the SI system is equated to one cubic decimeter.
2. You build the known value of length of an edge of a cube, that is length of the party of the square making any of its sides in the third degree. Practical calculations can be made on any calculator or by means of the Google search engine. If in the field of a search query to enter, for example, "3.14 cubed", then the searcher at once (without pressing of the button) will show result.
3. If only cube diagonal length is known, then it is quite enough for calculation of its volume too. Diagonal of the correct octahedron call the piece connecting two of its tops, opposite concerning the center. Length of such diagonal through Pythagorean theorem can be expressed as the cube edge length divided into a root from three. From this follows that for finding of volume of a cube it is necessary to divide its diagonal into a root from three and to cube result.
4. It is similarly possible to calculate cube volume, knowing only length of diagonal of its side. From the same Pythagorean theorem follows that length of an edge of a cube is equal to the diagonal of the side divided into a root from two. Volume in this case can be calculated, having divided the known length of diagonal of an edge into a root from two and having cubed result.
5. Do not forget about dimension of the received result - if you calculate volume proceeding from the known sizes in centimeters, then the result will be received in cubic centimeters. One decimeter contains ten centimeters, and one cubic decimeter (liter) - one thousand (ten cubed) cubic centimeters. Respectively, for transfer of result to cubic decimeters it is necessary to divide the received value in centimeters into one thousand.