Measurement Formulas Cheat Sheet
 
A graphical list of the formulas for measurement concepts. 

 
Shapes Formula
 
 Rectangle:
Area = Length X Width 
A = lw

Perimeter = 2 X Lengths + 2 X Widths
P = 2l + 2w

 
 Parallelogram
Area = Base X Height
a = bh 


 Triangle
Area = 1/2 of the base X the height
a = 1/2 bh

Perimeter = a + b + c
(add the length of the three sides) 


 Trapezoid
 
Perimeter = area + b1 + b2 + c
P = a + b1 + b2 + c 


 Circle .
The distance around the circle is a circumference. The distance across the circle is the diameter (d). The radius (r) is the distance from the center to a point on the circle. (Pi = 3.14) More about circles.

d = 2r
c = pd = 2 pr
A = pr2
(p=3.14) 

 
 Rectangular Solid
Volume = Length X Width X Height
V = lwh

Surface = 2lw + 2lh + 2wh 



 Prisms
Volume = Base X Height
v=bh 

Surface = 2b + Ph (b is the area of the base P is the perimeter of the base) 


 
 Cylinder
Volume = pr2 x height
V = pr2 h

Surface = 2p radius x height
S = 2prh 



 Pyramid
V = 1/3 bh
b is the area of the base

Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases.

 
 Cones
Volume = 1/3 pr2 x height
V= 1/3 pr2h 

Surface = pr2 + prs
S = pr2 + prs 
=pr2 + pr

  
 Sphere
Volume = 4/3 pr3
V = 4/3 pr3 

Surface = 4pr2 
S = 4pr2