G. Tawfik          
MATHEMATICS 436

Review Area and Volume Formulas
 

Perimeter and Area of Plane Figures



Trapezoid

Perimeter = Sum of all sides
                                               
A  =  ( Big Base + small base) Height
                              2


Parallelogram

Perimeter = Sum of all sides

A  =  Base  x  Height



Rectangle


Perimeter =  2 ( Length + width)
 P = 2 ( L + w)



A  =  Length x width



Square

Perimeter = 4 x Side
 P = 4 s


A =  (Side)2


Circle
Circumference = (2 n)(Radius) = 2nR
                              (2n)(Diameter) = n D
 
 C = 2 n R = n D

A = n R2





LATERAL AREA AND VOLUME OF SOLIDS
 

Right Prism

LA = Perimeter of Base x Height
 

V = Area of Base x Height

Cylinder

LA = Circumf. of Base x Height 

LA = 2 n r h
 


V = Area of Base x Height 

V = n r2 h


Pyramid

LA = Per. of Base x Slant Height

V = 1/3 Area of Base x Height
 

Cone


LA = Circum. of Base x Slant Height 

LA = 2 n r a


V = 1/3 Area of Base x Height 

V = 1/3 n r2 h
 


Sphere

LA = 4 n r2

V = 4/ n r3