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Area and Perimeter

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)


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

Surface Area

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


Cylinder
Surface = 2p radius x height
S = 2prh + 2pr2


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


Sphere
Surface = 4pr2
S = 4pr2

Volume

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

Prisms
Volume = Base X Height
v=bh

Cylinder
Volume = pr2 x height
V = pr2 h

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

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