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Math Assistance                                                 

 

 

Here are some simple formulae that might be useful when preparing volume and weight calculations for molded and extruded parts.

Circumference

Circle
C =
pi.gif (72 bytes)d   where pi.gif (72 bytes) is 3.1416 and d is the diameter

Area

Triangle

A = (ab)/2 where a is the base dimension and b is the height

Square
A = a  where a is one of the sides

Rectangle
A = ab  where a is the base and b is the height

Trapezoid
A = (h(a + b))/2  where h is the height, a the longer parallel side, and b the shorter parallel side

Regular Pentagon
A = 1.720a  where a is one of the sides

Regular Hexagon
A = 2.598a  where a is one of the sides

Regular Octagon
A = 4.828a  where a is one of the sides

Circle
A = pi.gif (72 bytes)r   where pi.gif (72 bytes) is 3.1416 and r is the radius

Volume

Cube
V = a  where a is one of the edges

Rectangular prism
V = abc  where a is the length, b is the width, and c is the depth

Pyramid
V = (Ah)/3  where A is the area of the base and h is the height

Cylinder
V = pi.gif (72 bytes)rh   where pi.gif (72 bytes) is 3.1416, r is the radius of the base, and h is the height

Cone
V = (pi.gif (72 bytes)rh )/3   where pi.gif (72 bytes) is 3.1416, r is the radius of the base, and h is the height

Sphere
V = ( 4pi.gif (72 bytes)r )/3   where pi.gif (72 bytes) is 3.1416 and r is the radius

Temperature

Degrees Fahrenheit to Degrees Celsius
TC5/9 (TF - 32)

Degrees Celsius to Degrees Fahrenheit
TF = 9/5 (TC + 32)

Miscellaneous

Tensile Strength - Pounds per Square Inch to MPa
psi / 145 = MPa

Tear Strength - Pounds per Inch to kN/m
ppi / 5.7 = kN/m

Matter into Energy (Einstein's Theorem)
E = mc  where E is energy in ergs, m is the mass of the matter in grams, and c is the speed of light in centimetres per second (c = 9 x 1020)


As a precaution, double check the accuracy of these formulas prior to using

 

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Last modified: December 28, 2010

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