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SA =Surface Area equals the total area of the surface of the solid. Measured in units squared 

V =Volume equals the number of cubic units that can fit inside the solid. Measured in units cubed 

LA =Lateral area which equals the surface area minus the bases
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Surface Area Formula Chart

= apothem The distance from the center of a figure to the closest side

sl = slant height On a cone or pyramid it is the distance from the apex down the side to the edge of the base

B = Base Area the total area of the base and depends on the shape of the base.

h = height the vertical distance from the vertex of an object straight down to the base.

P = Perimeter of base the distance around the base

Lateral Area,Surface Area, and Volume Formulas

Geometry Calculatorset
List of Geometry Calculators 
to help check your work.

Formulas for Geometry

Shape

Lateral Area

Surface Area

Volume

Cone

πrsl

r = radius

sl = slant height

πrsl+πr^2

r= radius

sl = slant height

1/3πr^2

 

r = radius

Cube

 

4s^2

 

S =side

 

SA= 6s^2

s = side

 

V= s^3

s=side

Cylinder

 

Circumference x Height

 

LA + 2πr^2

r = radius

V=πr^2 h
r = radius
h=altitude height

Prism

Perimeter x height

 

LA + 2Base

 

V=Bh
B depends on shape

H = height

Pyramid

1/2P * sl

 

sl =slant height

P=perimeter

LA + 1Base

LA =lateral area

V=1/3 B * h

B depends on Base

h=height

Rectangular Solid

Perimeter *height

SA=2(lw + lh + hw)

 

V= length x width x height

Regular Pyramid

LA = ½ P*sl

P = sum of the sides

sl =slope height

SA = ½ Psl + B

B=depends on shape

P =perimeter

sl =slope height

V = 1/3 Bh

B = depends on shape

h = height

Right Cone

 

LA = ½ Psl

P=2πr

sl = slant height

Sa =1/2 Psl + B

P = Dπ or 2πr

B = πr^2

sl =slant height

V = 1/3 Bh

B = πr^2

h =height

 

Right Cylinder

LA = 2πr*h

 

h = height

r = radius

 

 

 

SA = 2πr + 2πr^2

r =radius

V = Bh

B = πr^2

h =height

Right Prism

LA = Ph

P = sum of base sides

SA = Ph + 2B

P =perimeter

h =height

B =Base

V= l*w*h

B x h if it is not rectangle

Sphere

 

SA = 4πr^2

r =radius

 

V= 4/3 πr^3

 

r =radius