If on the plane the square can be compared in the degree of primitivity only with an equilateral triangle, then another four regular polyhedra compete with the cube.
Nevertheless, it is very simple, maybe even easier than a tetrahedron.
What is a cube? Otherwise, this form is called a hexahedron. This is the simplest of prisms, its sides near the cube are pairwise parallel, like any of the prisms, and are equal. You can also discover that a hexahedron is called a parallelepiped. And there is. A cube is a rectangular parallelepiped with equal edges, each of the six faces of which? square. Each vertex of the cube converges to its three edges, so all of it has? Six faces, eight vertices and twelve edges, the adjoining faces are perpendicular to each other, that is, they create angles of 90 °.
If you do not have any data about the cube at the beginning of the computation, proceed simply. Name the edge of the cube a. Now, from this very non-numerical value, you will start off in the calculations.
If one of the edges of the cube is a, then any other edgeCube is equal to a. The area of the face of the cube is always a ^ 2. The diagonal of the face of the cube is calculated by the Pythagorean theorem and is equal to a multiplied by the root of two. All of the above stems from the fact that each side of the cube? Square, and hence the edge of the cube? This in each case is the side of the square, and the face of the cube is equal to the area of the square with side a.
Now we pass to the formulas of the following order. Knowing the area of one face of the cube, it is easy to find out the area of its surface, it is 6a <2. The volume of the cube is equal to a ^ 3, since the area of any prism is equal to the product of the prism length by the width and its height, and in our case all these parameters are equal to a.
The length of the diagonal of the cube is a multiplied by the rootFrom 3. This is clear from the theorem that in any rectangular parallelepiped the square of the diagonal is equal to the sum of the squares of the three linear dimensions of the given polyhedron. At the intersection of the diagonals of the cube, or another parallelepiped, there is a symmetry point. This point divides the diagonals equally, in addition, in the cube through the symmetry point there are nine planes of symmetry, dividing the cube into equal parts.
So you have learned all the information necessary and sufficient to calculate any cube parameter. Try it.