Math journal chapter 11
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The document discusses different units of measurement including volume, capacity, mass, and time. It provides examples of converting between different units by multiplying or dividing by factors of 1000, 1000000, 60, 24, 7, and 52. For volume, the key units are mm3, cm3, m3, and the document explains how to find the volume of prisms and objects with a cross-sectional area.
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Math journal chapter 11
- 1. Math journal chapter 11 Max Parker
- 2. Volume • Volume is the amount of matter that can fit into a 3d object • It is used for aquariums and pools and also packaging • You convert one unit to the other by multiplying from m^3 to cm^3 multiply by 1000000 or the other way dividing by 1000000. Multiply 1000 from cm^3 to mm^3 and the other way divide by 1000
- 3. Examples • 1m^3*1000000=1000000cm^3 1000000cm^3/1000000=1m^3 • 1cm^3*1000=1000mm^3 1000mm^3/1000=1cm^3 • 1m^3*1000000000=1000000000mm^3 1000000000mm^3/1000000000=1m^3
- 4. prisms • To find the volume of prisms you multiply the length times width times height • To find the volume of a prism with a cross section you find the area of the base then that times the height
- 5. Examples
- 6. Capacity • Capacity is the amount of water a 3d object can hold • We use capacity for fish bowls, aquariums, and reservoirs • You times 1000 to convert to lower unit and divide by 1000 to convert to a higher unit • 1ml is 1cm^3, 1000cm^3 is 1l, 1m^3 is 1kl
- 7. Examples • 1kl*1000=1000l 1000l/1000=1kl • 1l*1000=1000ml 1000ml/1000=1l • 1kl*1000000=1000000ml 1000000ml/1000000=1kl • 3cm^3=3ml 1000cm^3=1l 1m^3=1kl
- 8. Mass • Mass is the amount of matter it has • We use mass for weight, for cooking and for stars and planets • You convert mass by multiplying and dividing by 1000
- 9. Examples • 1Kg*1000=1000g 1000g/1000=1kg • 1g*1000=1000mg 1000mg/100=1g • 1kg*1000000=1000000mg 10000000mg/1000000=1kg
- 10. Time • To convert time you divide by 60 to get seconds and minutes and to get hours you divide by 24 then divide by 7 to get days and by 52 to get weeks • We use time ones because in one place the sun will be setting and in other places the sun will be rising
- 11. Examples • 1min*60=60 sec 60sec/60=1min • 1h*60=60mins 60mins/60=1h • 1d*24=24h 24h/24=1d • 1w*7=7d 7d/7=1w • 1y*52=52w 52w/52=1y