Square: s = a 2 {square area = side length × side length}

Parallelogram: S=ab{ parallelogram area = base × height}

Triangle: S=ab÷2{ triangle area = base × height ÷2}

Trapezoid: S=(a+b)×h÷2{ Trapezoid area = (upper bottom+lower bottom) × height ÷2}

Circle (perfect circle): s =∏R2 {area of circle (perfect circle) = pi × radius× radius}

Circle (perfect outer ring): s =∏R2-∏R2 {circle (outer ring) area = pi × outer ring radius × outer ring radius -pi × inner ring radius}

Circle (perfect circle sector): s =∏r 2×n/360 {circle (sector) area = pi× radius× radius× sector angle /360}

Cuboid surface area: S=2(ab+ac+bc){ cuboid surface area = (length× width+length× height+width× height )× 2}

Surface area of cube: s = 6a 2 {Surface area of cube = side length × side length× 6}

Surface area of sphere (positive sphere): s = 4 ∏ r 2 {surface area of sphere (positive sphere) = pi × radius× radius× 4}

Ellipse S=π (pi) ×a×b (where a and b are the lengths of the major axis and minor axis of the ellipse, respectively).

Volume formula of cylinder: volume = bottom area × height. If h represents the height of a cylinder, cylinder = bottom× h = π r? , or the square of s h = π r.

Cubic

Cuboid volume formula: volume = length × width × height. (The bottom area is multiplied by the height s and the bottom h) If A, B and C are used to represent the length, width and height of a cuboid, the cuboid volume formula is: V length =abc.

cube

Volume formula of cube: volume = side length × side length × side length. (The bottom area is multiplied by the height S and the bottom H) If a is used to represent the side length of the cube, the volume formula of the cube is V = A A A = A 3.

Conventional formula

The volume of the cone = the area of the bottom × the height × one third. Cone = bottom area × height × one third.

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).

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

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

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

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

The standard equation of ellipsoid in xyz- Cartesian coordinate system is {x2/a2}+{y2/B2}+{z2/C2} =1,and its volume is V= (4/3)πabc. (A, B and C represent half of each axis)