Massachusetts Comprehensive Assessment System Grade 10 ...
Massachusetts Comprehensive Assessment System Grade 10 Mathematics Reference Sheet
CONVERSIONS
1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 gallon 3.785 liters 1 liter 0.264 gallon 1 liter = 1000 cubic centimeters
1 inch = 2.54 centimeters 1 meter 39.37 inches 1 mile = 5280 feet 1 mile = 1760 yards 1 mile 1.609 kilometers 1 kilometer 0.62 mile
1 pound = 16 ounces 1 pound 0.454 kilogram 1 kilogram 2.2 pounds 1 ton = 2000 pounds
AREA (A) FORMULAS
CIRCLE FORMULAS
square . . . . . . . . . . . A = s2
pi . . . . . . . . . . . . . 3.14
rectangle . . . . . . . . . A = lw
parallelogram . . . . . . A = bh
triangle
.
.
.
. . .
.
.
.
.
A
=
1 2
bh
circumference . . . . C = 2r OR C = d area . . . . . . . . . . . A = r2
trapezoid
.
.
.
.
.
.
.
.
.
A
=
1 2
h(
b1
+
b2)
RIGHT TRIANGLES
circle . . . . . . . . . . . . A = r2 a
TOTAL SURFACE AREA (SA) FORMULAS
cube . . . . . . . . . . . . . . . SA = 6s2 right square pyramid . . . . SA = s2 + 2s
( = slant height) right rectangular prism . . SA = 2(lw) + 2(hw) + 2(lh)
Pythagorean Theorem
c
a2 + b2 = c2
Trigonometric Ratios
b
sin
=
a c
cos
=
b c
tan
=
a b
VOLUME (V) FORMULAS
SPECIAL RIGHT TRIANGLES
cube . . . . . . . . . . . . V = s3 (s = length of an edge)
x 45? x 2
prism . . . . . . . . . . . . V = Bh cylinder . . . . . . . . . . V = r2h
45? x
cone
. . . . . . . .
. . . .V
=
1 3
r
2h
pyramid
.
.
.
.
.
.
.
.
.
.
V
=
1 3
Bh
sphere .
.
.
.
.
.
.
.
.
.
.
V
=
4 3
r
3
60? y
2y
30? y3
................
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