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Cubes, also called cubes, are regular polyhedrons composed of six square faces, so they are also called regular hexahedrons. It has 12 edges and 8 vertices. Cube is a special kind of cuboid. Cubic feature

1. A cube has 12 sides, and each side has the same length.

2. A cube has eight vertices.

A cube has six faces with equal area.

4. The side length of the cube is enlarged by n times, the sum of the side lengths is enlarged by n times, the surface area is enlarged by 2 times, and the volume is enlarged by 3 times. ..

It takes at least 8 pieces to make a big cube from the same small cube.

Volume of cube

Volume of cube = length × width × height

= bottom area × height

= side length × side length× side length

Surface area of cube

Surface area of cube =6× side length× side length.

If four vertices of a cube are connected, and no two of these four vertices fall on the same side of the cube, a regular tetrahedron can be obtained, whose side length is √2 of the side length of the cube and its volume is 1/3 of the volume of the cube. The bippolyhedron of a cube is an octahedron.

When the octahedron is inside the cube:

Octahedral volume: cubic volume

=[( 1/3)× height× bottom area ]×2: side length 3.

=( 1/3)(n/2)[(n2)/2]2 : n3

= 1 : 6

The diagonal of the star octahedron can form a cube.

Semi-cube: obtained by cutting off the midpoint of one side from another.

Four-dimensional cube: the generalization of cube in high-dimensional space