Solid geometry formula

name

sign

Area s

The fifth volume

cube

Length of side a

S=6a^2

V=a^3

Cubic

Alon

S=2(ab+ac+bc)

V=abc

B width

C height adjustment

prism

S- bottom area

V=Sh

up level

pyramid

S- bottom area

V=Sh/3

up level

frustum of a pyramid

S 1 and S2-upper and lower bottom areas

v=h〔s 1+s2+√(s 1^2)/2〕/3

up level

Prismatic

S 1-upper bottom area

V=h(S 1+S2+4S0)/6

S2-bottom area

S0-Cross-sectional area

up level

column

R- bottom radius

C=2πr

V=S bottom h=∏rh

up level

Bottom circumference

Bottom-bottom region

S base = π r 2

S-side-lateral area

S side =Ch

S table-surface area

S table =Ch+2S bottom

S base = π r 2

Hollow cylinder

R- excircle radius

R- radius of inner circle

up level

V=πh(R^2-r^2)

Straight cone

R- bottom radius

up level

V=πr^2h/3

Circular truncated cone

R on the bottom radius

R- bottom radius

up level

V=πh(R^2+Rr+r^2)/3

ball

R radius

diameter

V=4/3πr^3=πd^2/6

Bulb deficiency

The ball lacks height.

Sphere radius

A ball is missing the bottom radius.

a^2=h(2r-h)

V=πh(3a^2+h^2)/6

=πh2(3r-h)/3

table

R 1 and r2-the radius of the table and the bottom.

up level

V=πh[3(r 12+r22)+h2]/6

receptacle

R-ring radius

D-ring diameter

R-ring section radius

D- ring section diameter

V=2π^2Rr^2

=π^2Dd^2/4

staving

D- drum belly diameter

D- barrel bottom diameter

H- barrel height

V=πh(2D^2+d2^)/ 12

(The bus is circular, and the center of the circle is the center of the bucket)

V=πh(2D^2+Dd+3d^2/4)/ 15

(The bus is a parabola)