Mathematics 10-3
Area Formulas
– Formula Sheet
Measurement
1
A  bh
2
b b 
A  h 1 2 
 2 
Metric:
1 cm = 10 mm
1 m = 1000 mm
1 m = 100 cm
1 km = 1000 m
Rectangle:
A  lw
Imperial:
1 ft = 12 in
1 mi. = 5280 ft.
1 yd. = 3 ft. or 36 in
1 mi. = 1760 yd.
Parallelogram:
A=bh
Square:
A= lw
Triangle:
Trapezoid:
Circle:
A   r2
Circumference = 2 r
or
Circumference =  d
Volume Formulas
Rectangular Prism: V= l x w x h
Cylinder:
V   r 2h
Triangular Prism:
1
V  b hl
2
Trigonometry
In any right triangle ABC
SOH – CAH – TOA
opp
 sin  
hyp
adj
 cos  
hyp
opp
 tan  
adj
Pythagorean Theorem
c2  a2  b2
c  a2  b2
a  c2  b2
b  c2  a2
Conversions:
1 in. = 2.54 cm
1 ft. = 0.305m
1 mi. = 1.6 km
1 ft. = 30.5 cm
1 yd. = 0.915 m
Temperature:
9

F    _____ C   32
5

5
C   _____  F  32 
9
Mass:
1 oz. = 28.350 g
1 lb. = 0.454 kg
1 ton = 2000 lbs.
Volume:
1 cup = 8 oz.
1 pt. = 2 cups
1 qt. = 1.137 L
1 qt. = 2 pt.
Capacity:
1 cm3 = 1 mL or 0.001L
1 dm3 = 1 L
1 m3 = 1 kL or 1000L
Capacity & Volume:
1 in3 = 16.387 cm3
1 yd3 = 0.756 m3
1 gal. = 4.546 L
1 lb. = 16 oz.
1 lb. = 454 g
1 oz. = 29.573 mL
1 gal. = 4.546 L
1 gal. = 4 qt.
Metric to Metric Conversion Diagram
Common conversions between the metric and imperial systems of linear measurement are
shown below.
Imperial
1 inch
1 inch
1 foot
1 foot
1 foot
1 yard
1 mile
x by number
÷ by number
Metric
2.54 centimetres
25.4 millimetres
30.5 centimetres
305 millimetres
0.305 metres
0.915 metres
1.6 kilometres