Monday, March 14, 2011

Maths 07/03/11

Surface Area and Perimeter of a Triangle

Surface Area and Perimeter of a Trapezoid

Surface Area and Perimeter of a Rectangle

Area and Perimeter of a Parallelogram

Area and Perimeter of a Circle

Surface Area and Volume of a Sphere

Sphere

Surface Area and Volume of a Cone

Surface Area and Volume of a Cone

Surface Area and Volume of a Cylinder

Surface Area and Volume of a Rectangular Prism

Rectangular Prism

Surface Area and Volume of a Square Based Pyramid

Surface Area and Volume of a Square Based Pyramid

Surface Area and Volume of a Isosceles Triangular Prism

Surface Area and Volume of a Isosceles Triangular Prism

Area of a Circle Sector

Area of a Circle Sector

Surface Area of An Elipse

Ellipse
Surface Area of an Ellipse

Length of an Arc Formula

Length of an Arc Formula


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. 

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 + 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.
ConesVolume = 1/3 pr2 x heightV= 1/3 pr2h
Surface = pr2 + prsS = pr2 + prs
=
pr2 + pr
SphereVolume = 4/3 pr3V = 4/3 pr3
Surface = 4pr2S = 4pr2

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
TriangleArea = 1/2 of the base X the height
a = 1/2 bh
Perimeter = a + b + c
(add the length of the three sides

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