1.1 Imperial Measurements MFM2P. In the beginning Back in the day (1000s of years ago) when people...
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Transcript of 1.1 Imperial Measurements MFM2P. In the beginning Back in the day (1000s of years ago) when people...
In the beginning
Back in the day (1000s of years ago) when people built things themselves, it wasn’t necessary to measure things because everyone did it themselves.
I need a bolt as wide as thumb
What you talkin’ ‘bout Willis?
However, projects became more complicated, it became necessary to have others work different parts, therefore they had to standardize measurement.
Sir, I don’t know what your
thumb looks like…
moron…
Birth of Imperialism
So they decide to take the most popular guy, measure his thumb and call it an inch. This guy was the King!
An inch was the width of a thumb
A foot was the size of the kings foot, which eventually became 12
inches.
A yard was the distance from the tip of a man's nose to the end of his outstretched arm. Eventually,
3 feet became a yard
Other systems
The British empire used this method to devise measurements for mass, volume and time. For instance a pound was equal to 7002 troy grains
Other countries developed their own units of measure7001? That’s
stupid! A pound should
be 7002…
Your sands are no match
for our stones!
What’s a troy grain?
We use wheat seeds
A new day
Eventually (in the 1800s), the French developed the Metric System
In the 1970s many commonwealth (former British colonies) switched to the metric system.
The Imperial Empire
Unfortunately, the US has a HUGE influence on our culture. This influences the way we communicate and think about various systems of measurement.
Time is in seconds, minutes, hours, days,etc…
How tall are you? 5 feet 10 inches
How much do you weight? 210 lb
Football field yards
Fluids (Guinness) pint
Pump up the Volume!
VolumeTeaspoon (tsp), tablespoon (tbsp), fluid ounce (fl oz), cup (c), pint (pt), quart (qt),
gallon (gal)
Imperial Units
Length
inches (in or “), foot (ft or ‘), yard (yd), mile (mi)
VolumeTeaspoon (tsp), tablespoon (tbsp), fluid ounce (fl oz),
cup (c), pint (pt), quart (qt), gallon (gal)
WeightOunce (oz), pound (lb), ton (tn)
= (2 x 12”) + 7”= 3 feet x 12 inches 1 foot
Converting Feet to Inches
1 foot = 12 inches
3’ = 3 feet
= 36”
2’ 7” = 2‘ + 7”
= 24” +7”
= 31”
= 8.5 x 12”
8.5’ = 8.5 feet
= 102”
Page 3 Question 3
Converting Inches to Feet
1 foot = 12 inches
71 inches = How many times does 12 go into 71?
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
2 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
3 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45
4 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
5 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75
6 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90
7 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105
8 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120
9 9 18 27 36 45 54 63 72 81 90 99 108 117 126 135
10 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
11 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165
12 12 24 36 48 60 72 84 96 108 120 132 144 156 168 180
13 13 26 39 52 65 78 91 104 117 130 143 156 169 182 195
14 14 28 42 56 70 84 98 112 126 140 154 168 182 196 210
15 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225
71 inches = 5 feet + ??? inches
71 inches = 5 feet + 11 inches
5’ = 60”
71” -60” = 11”
Page 3 Question 4a
The school gymnasium floor needs to be resurfaced. Hardwood flooring costs $6 per square foot plus $2.50 per square foot for installation. The gym measures 180ft by 220ft.
a) Size of gym = (length) (width)
= (220 ft) (180 ft)
= 39 600ft2 Therefore the gym is 39 600ft2.
b) Cost to buy hardwood = ($6.00/ft2) (39 600ft2)
= $237 600 The cost of the hardwood is $237 600.
c) Cost of Installation = ($2.50/ft2) (39 600ft2)
= $99 000 Therefore the cost of installation is $99 000
Word ProblemsPage 3 Question 6