A cube is a polyhedron of regular shape with faces of the same shape and size, representing squares.
From this it follows that both for its construction and for the calculation of all related parameters it is sufficient to know only one value.
It can be used to find the volume, the area of each face, the total surface area, the length of the diagonal, the length of the edge, or the sum of the lengths of all the edges of the cube.
Count the number of edges in the cube. This three-dimensional shape has six faces, which defines its other name - the correct hexahedron (hexa means "six"). A figure of six square faces can have only twelve edges. Since all faces are equal in size squares, the lengths of all edges are equal. Hence, to find the total length of all the edges, one must know the length of one edge and increase it twelvefold.
Multiply the length of one edge Cuba (A) by twelve to calculate the length of all the edges Cuba (L): L = 12 & lowast-A. This is the simplest possible way to determine the total length of the edges of a regular hexahedron.
If the length of one edge Cuba Is not known, but there is an area of its surface (S),Then the length of one edge can be expressed as the square root of one sixth of the surface area. To find the length of all the edges (L), the value obtained in this way must be increased twelvefold, which means that in general form the formula will look like this: L = 12 & lowast- & radic- (S / 6).
If the volume Cuba (V), then the length of one of its faces can be determinedAs a cubic root of this known magnitude. Then the length of all the faces (L) of the regular tetrahedron will be twelve cubic roots of the known volume: L = 12 & lowast -? & Radic-V.
If the length of the diagonal is known Cuba (D), then to find one edge this valueIt is necessary to divide by the square root of three. The length of all the edges (L) in this case can be calculated as the product of the number twelve by the quotient of dividing the length of the diagonal by the root of three: L = 12 & lowast-D / & radic-3.
If the length of the radius of the sphere (r) inscribed in the cube is known, then the length of one face will be equal to half this value, and the total length of all the edges (L) - this value increased by six times: L = 6 & lowast-r.
If the length of the radius is not known, and(R), then the length of one edge will be defined as the quotient of dividing twice the length of the radius by the square root of the triple. Then the length of all the edges (L) will be equal to twenty-four lengths of the radius, divided by the root of three: L = 24 & lowast-R / & radic-3.