All formulas for surface area of shapes

Surface Area of a sphere

surface area sphere

 

R red  -  radius of a sphere

pi1    3,14

 

 

Calculate the surface area of a sphere if given radius ( A ) :

surface area sphere F

 

 

Surface Area of a spherical segment

surface area spherical segment

 

R red  -  radius of a sphere

h  -  height of a spherical segment

pi1    3,14

O black  - center  of the sphere

 

Calculate the surface area of a spherical segment if given radius and height ( A ) :

surface area spherical segment F

 

 

Surface Area of a spherical zone

surface area spherical layer

R red  -  radius of a sphere

h  -  height of a spherical zone

pi1    3,14

O black  - center  of the sphere

 

Calculate the surface area of a spherical zone if given radius and height ( A ) :

surface area spherical layer F

 

 

Surface Area of a spherical sector

surface area spherical sector

R red  -  radius of a sphere

rr1 red  -  radius of the base of a cone = radius of a segment

pi1    3,14

O black  - center  of the sphere

 

Calculate the surface area of a spherical sector ( A ) :

surface area spherical sector F

 

 

Surface Area of a cylinder

surface area cylinder

 

rr1 red  -  radius

h  -  height

pi1    3,14

 

Calculate the lateral surface area of a cylinder ( A_lat ) :

surface area cylinder F

 

Calculate the total surface area of a cylinder ( A ) :

surface area cylinder FL

 

 

Surface Area of a cone

surface area cone

R14 red  -  radius of the base

L14 blue  -  generator of a cone

H14 green   - height

pi1    3,14

 

 

Calculate the lateral surface area of a cone if given radius and generator ( A_lat ) :

surface area cone FL1

 

Calculate the lateral surface area of a cone if given radius and height ( A_lat ) :

surface area cone FL2

 

Calculate the total surface area of a cone if given radius and generator ( A ) :

surface area cone F2

 

Calculate the total surface area of a cone if given radius and height ( A ) :

surface area cone F1

 

 

Surface Area of a truncated cone

surface area truncated cone1

R14 red  -  radius of the lower base

rr1 red  -  radius of the upper base

L14 blue  -  slant height of a cone

pi1    3,14

 

Calculate the lateral surface area of a truncated cone if given radius and slant height ( A_lat ) :

surface area truncated cone F1

 

Calculate the total surface area of a truncated cone if given radius and slant height ( A ) :

surface area truncated cone F2

 

 

Surface Area of a regular pyramid

surface area regular pyramid

P14 black  -  perimeter of the base

A18 base  -  area of the base

L14 red  -  slant height of a pyramid

a12 blue   - equal  sides of the base

 

Calculate the lateral surface area of a regular pyramid if given base perimeter and slant height ( A_lat ) :

surface area regular pyramid F1

 

Calculate the total surface area of a regular pyramid if given base perimeter, slant height and base area ( A ) :

surface area regular pyramid F3

 

 

Lateral surface area of a regular truncated pyramid

area lateral surface regular truncated pyramid

P14 blue  -  perimeter of the lower base

P12 green  -  perimeter of the upper base

L14 red  -  slant height of a truncated pyramid

 

 

Calculate the lateral surface area of a regular truncated pyramid if given base perimeters and slant height ( A ) :

area lateral surface regular truncated pyramid F

 

 

Surface Area of a cube

surface area cube

 

a  - side  of each edge of a cube

 

 

 

Calculate the surface area of a сube if given side ( A ) :

surface area cube F

 

 

Surface Area of a rectangular prism

surface area parallelepiped

 

 

a , b , c blue    -  sides of a parallelepiped

 

 

 

Calculate the Surface Area of a rectangular prism if given sides ( A ) :

surface area parallelepiped F