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What are the mathematical volume formulas?
column

Volume formula of cylinder: volume = bottom area × height. If the height of cylinder is expressed by H, then cylinder =S bottom × h = π r 2× h 。

prism

Cubic

Volume formula of cuboid: volume = length× width× height (base area multiplied by height s and base h)

If a, b and c represent the length, width and height of a cuboid, then

The formula of cuboid volume is: v length =abc.

cube

Volume formula of cube: volume = side length × side length × side length (bottom area multiplied by height s and bottom h)

If a represents the side length of the cube, then

The volume formula of a cube is v = a a a = a 3.

cone

Conventional formula

Volume of cone = bottom area × height ÷3.

Cone =S bottom × one third× ×hx3.

Coordinate volume formula of triangular pyramid

Triangular pyramid is the most common and basic figure in three-dimensional space, just like triangle in two-dimensional space.

Given coordinates a (a 1, a2, a3), b (b 1, B2, B3), c (c 1, c2c3), o as the origin, the volume v of the triangular pyramid O-ABC is equal to ∣ (a/kloc-0).

Flat car

Platform volume formula: v = [above s+√ (above s and below s)+below s ]h÷3.

The formula of truncated cone volume: v = [s+s'+√ (ss')] h ÷ 3 = π h (R2+RR+R2)/3.

range

ball

The formula of spherical void volume = (π/3) (3r-h) * h 2.

Sphere volume formula: V = (4/3) π r 3.

oval

The standard equation of ellipsoid in xyz- Cartesian coordinate system is {x 2/a 2}+{y 2/b 2}+{z 2/c 2} =1,and the volume is V= (4/3)πabc. (A and B, and C respectively represent each axis.