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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

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

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