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Formula Sheet

[Perimeter]      [Area]      [Surface Area]        [Volume]        [Miscellaneous]      [Conversion of Units]
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Perimeter

Triangle:  P = a + b + c

Rectangle: P = 2 (L + w)

Square:  P = 4s         

Circle:  C = πd , C = 2 π r

 

Area

Triangle:  A = ½ bh

Rectangle:  A = L w

Square:  A = s2

Circle:  A = π r2

Parallelogram:  A = bh

Trapezoid:  A = ½ (b1 + b2) h

 

Volume

Rectangular Prism:  V = Lwh

Cube:  V = s3

Sphere:  V = 4/3 π r3

Cylinder:  V = π r2h

Cone:  V = ⅓ π r2h

Square based Pyramid:  V = ⅓ s2h

 

Surface Area

Rectangular Prism:  SA = 2Lw + 2Lh + 2wh

Cube:  SA = 6s2

Sphere:  SA = 4 π r2

Cylinder:  SA = 2 π r2  + 2 π r h

Cone:  SA = π r2 + π r h

Square based Pyramid:  SA = s2 + 2 s h

 

Miscellaneous

Pythagorean Theorem:  a2 + b2 = c2  

F =    9/5(C)  +  32

C =   5/9(F – 32 )

Simple Interest:      I = PRT

 

Conversions

U.S. System:

Length   Mass Capacity
12 in = 1 ft
3 ft = 1 yd
5280 ft = 1 mi 		 16 oz = 1 lb
2,000 lb = 1 ton		 8 fl oz = 1 c
2 c = 1 pt
2 pt = 1 qt
4 qt = 1 gal

METRIC System:

k h  da  grams (g) d  c   m
  liters (L)
meters (m)		  
             
Length Mass Capacity
1 km = 1000 m
1 m = 100 cm 
 1 m = 1000 mm		 1 kg = 1000 g
1 g = 1000 mg		 1 L = 1000 ml
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