The University of Texas at Austin, Continuing & Innovative Education
K-16 Education Center
Grade 8 Mathematics Formula Sheet
Perimeter
Circumference
Area
square
rectangle
circle
square
P = 4s
P = 2l + 2w or P = 2(l + w)
C = 2πr or C = πd
A = s2
rectangle
A = lw or A = bh
triangle
trapezoid
A=
2
1
LENGTH
bh or A =
(b1 +b2)h or A =
(b1 + b2 ) h
1 kilometer= 1000 meters
1 mile = 1760
yards
prism
V = Bh*
1 quart = 2 pints
cylinder
V = Bh*
1 pint = 2 cups
pyramid
V=
Bh*
cone
V=
Bh*
sphere
V=
π r3
Surface Area
cone
π
1 meter = 100 centimeters
1 centimeter = 10 millimeters
1 mile = 5280 feet
1 yard = 3 feet
1 foot = 12 inches
CAPACITY AND VOLUME
Metric
Customary
1 liter = 1000 milliliters
1 gallon = 4 quarts
1 gallon = 128 ounces
1 cup = 8 ounces
TIME
1 year = 365 days
*B represents the area of the Base of a solid figure
Pythagorean
Theorem
Simple Interest
Formula
Customary
sphere
cylinder
Pi
Metric
2
2
A = π r2
S =6s2
Lateral: S = 2πrh
Total: S = 2πrh + 2πr2 or S = 2πr(h + r)
Lateral: S =πrl
Total: S = πrl +πr2 or S = πr(l + r)
S = 4π r2
circle
cube
Volume
A=
1
MASS AND WEIGHT
1 kilogram = 1000 grams
1 ton = 2000 pounds
1 gram = 1000 milligrams 1 pound = 16 ounces
π = 3.14 or π =
1 year = 12 months
1 year = 52 weeks
a2 + b2 = c2
1 week = 7 days
I = prt
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
1