Math journal chapter 11

Max Parker

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

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

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

Examples

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

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

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

Examples

• 1Kg*1000=1000g 1000g/1000=1kg• 1g*1000=1000mg 1000mg/100=1g• 1kg*1000000=1000000mg 10000000mg/1000000=1kg

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

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