Tuesday, 21 February 2012

Area & Surface formulas for Rectangle,Paralleogram,Triangle,Trapeziod,Circl,Rectangular solid,Prisms,,Cylinder,Pyramid,Cones,Sphere,


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


urface = 2p radius x height
S = 2prh + 2pr2


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

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