ArMath 1
Solid Mensuration 2 units
Instructor: Jonel E. Castroverde
1. Units
TOPICS
4. Solid Figures
2. Points, Lines, Planes, Angles
3. Plane Figures
● Triangles
● Quadrilaterals
● Polygons
● Circles, Ellipse
● Prism, Cylinders
● Pyramid, Cones
● Frustum, Prismatoids, Truncated Solids
● Sphere
● Solids of Revolution and Composite Solids
1. UNITS
Order of Magnitude
mnemonics for order of magnitude
Is it too good my king hector doesn’t usually
drink cold milk? ugh no problem fazy.
1 m = 3.28 0824 ft
Length
YZEPTGM k h da u d c m μnpfazy Why no
problem? Because king hector has a tattoo
1 in = 2.54 cm 1 mi = 1.609 km
1 ft = 12 in
1 yd = 3 ft
Temperature
1 mi = 1760 yd = 5280 ft
1nmi. = 6076.12 ft = 1.15078 mi
1 hectare = 10000 m2 = 100 are
= 2.47 acre
Area
1 sq.mi = 640 acres 1 acre = 4840 yd2
Mass
1 kg = 2.2046226 lb 1 slug = 14.5939 kg 1 lb = 16
oz 1 slug = 32.174 lb
Weight
1 Newton (N) = 9.81 kg – m/s2
DERIVED FORMULA
1 liter = 1000 cm3 1 m3 = 1000 liter
Volume
1 tablespoon = 3 teaspoon 1 fl.oz = 2
tablespoon 1 legal cup = 8.11537 fl. oz
1 liquid pint = 16 fl. Oz
1 liquid quart = 2 liquid pint
1 liquid gallon = 4 liquid quart 1 liquid gallon =
3.78541 liter
Temperature
1. General formula for Celsius and
Fahrenheit conversion.
2. General formula
3. Celsius to Kelvin formula.
K = ℃ + 273.15
3. Fahrenheit to Rankine formula.
R= ℉ + 459.67
Time
Gravity
1 minute = 60 seconds
9.81 m/s2 (metric)
1 hour = 60 mins = 3600 s 1 day = 24 hrs
32.2 ft/s2 (english)
1 week = 7 days
1 month = 4 weeks = 28/29/30/31 days 1 year =
12 months
= 52 weeks
= 365 days
1 leap year = 366 days
1 decade = 10 years
1 score year = 20 years
1 century = 100 years = 10 decades 1
millennium = 1000 years
1 Pa = 1 N/m2 1 kPa = 1000 Pa 1 MPa = 106 Pa =
1000 kPa
= 1 N/mm2
Pressure
1 GPa = 109 Pa
= 1000 MPa
1 atm = 101325 Pa
= 760 Torr
1 Torr = 133.322 Pa
Plane Angle
1 revolution = 360 degrees
= 2π radian
= 400 gradian (centesimal system)
= 6400 mils
Water = 1 g/cm3 = 1000 kg/m3
= 9810 N/m3
= 9.81 kN/m3
Air = 12 N/m3
Unit Weight
Water = 62.4 lb/ft3