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How to calculate the cube

Cube - is one of the five regular polyhedra

If the plane can be compared on the square degree of primitiveness only equilateral triangle, then with the cube compete four more regular polyhedron.

However, it is very simple, maybe even easier tetrahedron.



What is a cube? Otherwise, this form is called a hexahedron. This is the simplest of prisms, hand one to the cube are parallel, as any of the prisms, and equal. You may also find that the hexahedron is called parallelepiped. And there is. Cube - is a rectangular parallelepiped with equal fins, each of the six faces of which? square. At each vertex of the cube converges three of his ribs, so all he had? six faces, eight vertices and twelve edges contacting faces perpendicular to each other, that is, create angles of 90 °.


If you are at the beginning of computing there are no data on the cube, do the simple. Name the edge of the cube as well. Now, from this very non-numeric values ​​and you're gonna build the calculation.


If one of the edges of a cube and, any other edgecube is equal to a. Square face of the cube is always a ^ 2. Diagonal of the cube is calculated by the Pythagorean theorem, and is equal to a times the square root of two. All of this stems from the fact that each face of the cube? square, and then the edge of the cube? is in each case the side of the square, and the face of the cube is equal to the square of the square of side a.


Now go to the formulas of the next order. Knowing the area of ​​one face of the cube, it is easy to figure out the area of ​​its surface, it is equal to 2 ^ 6a. The volume of a cube is equal to a ^ 3, since the area of ​​any right prism is equal to the product of the length of the prism on the width and the height of it, and in our case, all of these parameters are well.


The length of the diagonal of a cube and is multiplied by the rootof 3. It is clear from the theorem that in any rectangular parallelepiped square diagonal equal to the sum of the squares of three linear dimensions of the polyhedron. The intersection of the diagonals of a cube or other parallelepiped, is point symmetry. This point is shared equally diagonal, moreover, in the cube through the symmetry point are nine planes of symmetry divide the cube into equal parts.
So you know all the information necessary and sufficient to calculate any parameter cubes. Try.

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