FORMULAS

for finding

Area, Surface Area, & Volume

Formulas for finding AREA

* Square

* Rectangle

* Triangle

* Trapezoid

Finding the Area of a Square

S (Side) = 6

S (

Sid

e) =

6

Remember, a square is the same size on all 4 sides

Formula – A = S2 or A=(b)(h)A = Area S2 = Sides squared b = base h = height

base

height

Finding the Area of a Rectangle

A = (b)(h)b = base h = height

Rectangle

b = 8

h =

3

Finding the Area of a Triangle

a = ½ (b)(h)b = base, h = height

b = 6

h =

9

Finding the Area of a Trapezoid

Trapezoid

b1

b2

h

a = ½(h) (b1 + b2)h = height b = base

Formulas for finding Surface Area

* Prism

* Cylinder

* Pyramid

* Cone

Finding Surface Area of a Prism

SA = Ph + 2B P = Perimeter, h = Height, B = Area of the Base

h

p

Finding Surface Area of a Cylinder

SA = 2rh + 2r2

Pi = r2 = radius squared (or radius X

radius)

h =

6r = 2

Finding Surface Area of a Pyramid

SA = 1/2 Pl + BP = Perimeter, l = Slant Height, B = Area of Base

lP

Finding Surface Area of a Cone

SA = rl + r2

Pi = r = radius l = Slant

Height

r

Formulas for finding Volume

* Prism

* Cylinder

* Pyramid

* Cone

Finding the Volume of a Prism

V = Bh B = Base area, h = height

h = 10

Finding the Volume of a Cylinder

V = r2h

Pi =r = radius h = height

h=

6r=2

Finding the Volume of a Pyramid

V = 1/3Bh

B = Base area, h = height

B = 5

h = 9

Finding the Volume of a Cone

V = 1/3 r2h

Pi =r2 = radius squared h =

height

r

h