Mathematics 10C
Formula Sheet
Measurement
Conversion Table
This table contains a list of equivalent measurements.
Unit
Imperial Conversions
inch
(in. or ″)
Metric Conversions
1 in. = 2.54 cm
foot
(ft. or ′)
1 ft. = 12 in.
1 ft. = 30.48 cm
yard
(yd.)
1 yd. = 3 ft.
1 yd. = 36 in.
1 yd. = 91.44 cm
1 yd. = 0.9144 m
mile
(mi.)
1 mi. = 1760 yd. 1 mi. = 1.609 km
1 mi. = 5280 ft.
1 mi. = 1609 m
1 mi. = 63 360 in. 1 mi. = 160 900 cm
Trigonometry
Pythagorean Theorem: a2 + b2 = c2
hypotenuse
opposite
θ
Trigonometric Ratios:
sinθ =
adjacent
(right triangles only)
opposite
hypotenuse
cosθ =
adjacent
hypotenuse
tanθ =
opposite
adjacent
Linear Functions
Slope-Intercept Form: y = mx + b
y
Slope of a Line:
(x2, y2)
rise
m=
run
or
(x1, y1)
y2 - y1
m=
x2 - x1
x
Slope-Point Form: y - y1 = m(x - x1)
General Form: Ax + By + C = 0
Parallel Lines: m = moriginal
Perpendicular Lines: m =
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1
moriginal
Surface Area and Volume
Exponents &
Radicals
2-D Shapes
Square
s
P = 4s
A=s
2
a
Circle
C = 2πr
or C = πd
s
s
r
A = πr2
s
Rectangle
Triangle
P = 2l + 2w
P = s1 + s 2 + s 3
w
A = lw
A=
l
h
1
bh
2
b
3-D Objects
Cube
Rectangular Prism
SA = 6s2
SA = 2lw + 2wh + 2lh
s
V = s3
Sphere
V = lwh
s
s
h
w
SA = 4πr2
4
πr3
V=
3
r
l
Square Pyramid
SA = Abase + 4Aside
V=
Rectangular Pyramid
slant
height
h
SA = Abase + 2Aside 1 + 2Aside 2
1
lwh
3
V=
slant
height 2
h
1
lwh
3
slant
height 1
s
w
s
l
Right Cylinder
Right Cone
SA = πr2 + πrs
1
V = πr2h
3
SA = 2πr2 + 2πrh
V = πr2h
h
slant
height
h
r
r
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