Sec 5.3 Volume Conversions- Metric System Metric to Metric!
The metric system is based on our decimal system, so it is extremely easy to convert between any 2 quantities! There are 3 core Units in the metric system: 1) The meter (m) (for units of length) 2) The gram (g) ( for units of weight) 3) The liter ( l) ( for units of volume)
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Sec 5.3 Volume Conversions- Metric System Metric to Metric! There are 4 commonly used metric units of length: 1) The meter (m) (is slightly longer than a yard!) 2) The kilometer (km) (kilo= 1000, so 1 km = 1000 meters or slighly more than 1000 yds which happens to be about .6 of a mile) so about 2km to a mile!) 3) The centimeter (cm) (about 2.5 of these make up an inch!) (about 30 to a foot!) 4) The millimeter (mm) (about 25 of these make up an inch)
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1
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1
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1
1
?
1
? 1
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1
1
1
? 1
? 1
? ?
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1
? 1
Km Dkm Hm M dm cm mm 2.8
?
? ?
?
3500
450
? ? .001
.35 23.5 ? ?
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2545
Km Dkm Hm M dm cm mm 1
1000
1
?
1
100
1
2 1000
1
10
The following unit fractions come from the chart above!!!
1
1 km 1000m 1000m 1 km 1m 1000mm
1 cm 10mm
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1m 100cm
100cm 1m
3
1000mm 1m
10 mm 1 cm
4
2
3
4
The exact same chart is used for g *grams* (metric unit of weight)
Kg Dkg Hg g dg cg mg v
AS WELL AS! l *liters* (metric unit of volume)
Kl Dkl Hl l dl cl ml Everything works the SAME!!
Title: Mar 17:55 PM (7 of 12)
Converting From English to Metric!! Use the following Metric-English Length Conversion Chart!
1 inch = 2.54 cm 1 ft = 30.48 cm 1 yd= 0.9144 m 1 mile= 1.6093 km Example Conversions: Convert from: 1) 5.5 miles to kilometers 5.5 miles x 1.6093 km = 8.9 km 1 mile 2) 200 km to miles
200 km x
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1 mile 1.6093 km
= 123.4 miles
Converting From English to Metric!! Use the following Metric-English Weight/Mass Conversion Chart!
1 ounce = 28.35 g 1 pound = 0.4536kg 1 ton= 970.2 kg
Sample Conversion Problems: 1) Convert 0.075 pounds to grams
.075 pounds x .4536 kg = .03402kg 1 pound Now convert from kg to g! .03402 kg ===> 34.02 g!! (move dec pt 3 to right!
Title: Mar 18:35 PM (9 of 12)
Converting From English to Metric!! 1 ounce = 28.35 g 1 pound = 0.4536kg 1 ton= 970.2 kg
Sample Conversion Problems: 1) Cactus sweetener sells for $7.20 a pound what is the cost per gram? (find out how many grams there are in a pound convert from pounds to kg and then kg to g)
$7.20 x 1 pound x 1 kg pound .4546kg 1000 g
= $.01584 per gram (0r 1.6 cents per gram)
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Converting From English to Metric!! (Volume!!) 1 quart = 0.946 l 1 gallon= 3.785 l 1 cu yd= .765 m 3 (cu m)
How many quarts are there in a liter?
1 liter x 1 qt = 1.06 qts .946l 20 cu m (m 3) of cement would be approximately how many cuyds ( yd
3)?
20 m 3 x 1 yd 3 = 26.14 yd 3 .765 m 3
Title: Mar 18:35 PM (11 of 12)
Converting From English to Metric!! (Speed!!) **Convert from mph to kph (miles per hour to kilometers per hour)** 55 mph to kph!
55 miles x 1.6093km = 88.5 km = 88.5 kph hr 1 mile hr Convert 2.4 yds/sec to meters/minute
2.4 yds x 60 sec sec 1 min
x .9144meters 1 yd
= 131.7 meters minute
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