Area

KEY

b = base

h = height

l = length

w = width

= slant height

S.A. = Surface area

d= diameter

r = radius

A = area

C = circumference

V = volume

Use 3.14 or 22/7 for p

 

Triangle

 

A = 1/2 bh

 

 

Rectangle

 

A = lw

 

 

Trapezoid

 

A = 1/2 h(b1 + b2)

 

 

Parallelogram

 

A = bh

 

Circumference
C = pd = 2pr

Circle

A = pr2

 

 

 

Volume

Total Surface Area

 

Right Circular Cone

 

V = 1/3 pr2h

 

S.A. = 1/2 (2pr) + pr2 = pr + pr2

 

Square Pyramid

V = 1/3 lwh

S.A. = 4(1/2 l) + l2 = 2l + l2

 

 

 

 

Sphere

V = 4/3 pr3

S.A. = 4pr2

 

 

 

 

Right Circular Cylinder

V = pr2h

S.A. = 2prh + 2pr2

 

 

 

 

Rectangular Solid

V = lwh

S.A. = 2(lw) + 2(hw) + 2(lh)

 

In the following formulas, n represents the number of sides.

In a polygon, the sum of the measures of the interior angles is equal to 180(n - 2).

In a regular polygon, the measure of an interior angle is equal to [180(n - 2)] / n.

 

Pythagorean theorem: c2 = a2 + b2

Distance between two points P1(x1,y1) and P2 (x2,y2):

y = mx + b

Slope-intercept form of an equation of a line, where m = slope and b = the y-intercept:

Midpoint between two points P1(x1,y1) and P2 (x2,y2):

d = rt

Distance, rate, time formula, where d = distance, r = rate, t = time.

I = prt

Simple interest formula, where p = principal, r = rate, t = time.

 

Conversions

1 yard = 3 feet = 36 inches
1 mile = 1,760 yards = 5,280 feet
1 acre = 43,560 square feet
1 hour = 60 minutes
1 minute = 60 seconds

1 cup = 8 fluid ounces
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts

1 liter = 1000 milliliters = 1000 cubic centimeters
1 meter = 100 centimeters = 1000 millimeters
1 kilometer = 1000 meters
1 gram = 1000 milligrams
1 kilogram = 1000 grams

1 pound = 16 ounces
1 ton = 2,000 pounds

Metric numbers with four digits are represented without a comma (e.g., 9960 kilometers). For metric number greater than four digits, a space is used instead of a comma (e.g., 12 500 liters).