Cuboid and cube related formula, such as volume, area, edge length sum and so on There's more than that

Cuboid and cube related formula, such as volume, area, edge length sum and so on There's more than that


Characteristics of cuboid
[1] a cuboid has six faces, each of which is rectangular, and at least two opposite faces are identical. In special cases, two faces are square, and the other four faces are rectangular, and they are identical. [2] a cuboid has 12 edges, and the length of the opposite edges is equal. It can be divided into three groups, and each group has four edges. It can also be divided into four groups, Each group has three edges. [3] a cuboid has eight vertices. Each vertex connects three edges. (4) two adjacent edges of the cuboid are perpendicular to each other
Since the two opposite faces are equal, we first calculate the upper and lower faces, then the front and rear faces, and finally the left and right faces. Let a cuboid have a, B, and h in length, width, and height, respectively, and its surface area s: S = 2Ab + 2bh + 2ah = 2 (AB + BH + ah)
Let V: be the cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cuboid's cub, V = sh note: Here s is the area of the base. The sum of the edge lengths of the cuboid = (length + width + height) × 4. The letter formula C = 4 (a + B + C) is equal to the length of the opposite edge. The edge lengths of the cuboid are divided into three groups with four edges in each group. The edge lengths of each group are equal
The definition of cube
A straight parallel hexahedron with square sides and bottom is called a cube, that is, a hexahedron with equal edge length, also known as "Cube" or "regular hexahedron". A cube is a special cuboid. The dynamic definition of a cube is a three-dimensional figure obtained by translating the side length of a square from a square to a direction perpendicular to the plane of the square
The feature [1] has 6 faces, each of which is identical. [2] has 8 vertices. [3] has 12 edges, each of which has the same length. (4) two adjacent edges are perpendicular to each other
Surface area
Since all six faces are equal, the surface area of a cube is equal to the area of a face × 6 = edge length × edge length × 6. Suppose the edge length of a cube is a, then its surface area s: S = 6 × a × a or S = 6A & sup2;
volume
The volume of a cube = edge length × edge length × edge length; if the edge length of a cube is a, then its volume is v = a × a × a, which can also be calculated by the volume of a cube = base area × height



The cube of a few is 3125000


x³=3125000
x=146.2008869106433032753393680069.



Cut a cube wood block with an edge length of 2 decimeters into the largest cylinder. How many cubic decimeters is the volume of this cylinder?
Just the formula


If a cube wood block with a length of 2 decimeters is cut into the largest cylinder, its diameter is 2 decimeters and its height is 2 decimeters,
So its volume v = π R ^ 2H = 3.14x (2 / 2) ^ 2x2 = 6.28 (cubic decimeter)