reference facts

Applied Math reference facts

Calculation conventions. Use

π = 3.14

. Average means arithmetic mean unless the question specifies another measure. Length.

12

inches

= 1

foot;

3

feet

= 1

yard;

5, 280

feet

= 1

mile;

1

mile

\approx 1.61

kilometers.

1

inch

= 2.54

centimeters;

1

foot

= 0.3048

meter.

1

meter

= 100

centimeters

= 1, 000

millimeters;

1

kilometer

= 1, 000

meters. Area.

1

square foot

= 144

square inches;

1

square yard

= 9

square feet;

1

acre

= 43, 560

square feet. Capacity and volume.

1

cup

= 8

fluid ounces;

1

quart

= 4

cups;

1

gallon

= 4

quarts

= 231

cubic inches.

1

liter

\approx 0.264

gallon.

1

cubic foot

= 1, 728

cubic inches;

1

cubic yard

= 27

cubic feet. A board foot occupies

1

inch

\times 12

inches

\times 12

inches. Mass.

1

pound

= 16

ounces

\approx 453.592

grams;

1

ounce

\approx 28.350

grams.

1

kilogram

= 1, 000

grams

\approx 2.2

pounds;

1

milligram

= 0.001

gram.

1

ton

= 2, 000

pounds. Plane figures. Rectangle:

P = 2 (l + w)

A = l w

. Triangle:

A = b h / 2

and angle sum

180^{\circ}

. Circle:

C = 3.14 d

A = 3.14 r^{2}

; one complete turn is

360^{\circ}

. Solids. Rectangular box:

V = l w h

. Cube:

V = s^{3}

. Cylinder:

V = 3.14 r^{2} h

. Cone:

V = 3.14 r^{2} h / 3

. Sphere:

V = (4 / 3) (3.14) r^{3}

. Electricity.

1

kilowatt-hour

= 1, 000

watt-hours. Current in amperes equals power in watts divided by voltage in volts. Temperature.

C = (5 / 9) (F - 32)

and

F = (9 / 5) C + 32