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Mathematics 18 Online
OpenStudy (lisa123):

How many cubic feet are in one cubic kilometer?

OpenStudy (lisa123):

please show steps with conversions

OpenStudy (tylerd):

1 meter is about 3.28ft

OpenStudy (tylerd):

\[1km^3 \times \frac{ 1000m }{ km } \times \frac{ 1000m }{ km } \times \frac{ 1000m }{ km } =1000000000m^3 \]

OpenStudy (danjs):

same as usual conversions, to get higher dimensions, you can still use the linear relationships 1 m = 3.28 ft cube everything [1 m]^3 = [3.28 ft ] ^3 1 m^3 = 3.28^3 ft^3

OpenStudy (tylerd):

\[1000000000m^3 \times \frac{ 3.28ft }{ 1m } \times \frac{ 3.28ft }{ 1m } \times \frac{ 3.28ft }{ 1m } =35287552000 ft^3\]

OpenStudy (danjs):

|dw:1453702659504:dw|

OpenStudy (danjs):

i used tylers US to metric ratio 3.28ft to a meter

OpenStudy (tylerd):

the key with all conversions is dimensional analysis

OpenStudy (danjs):

yes, just start with what you are given, and multiply by ratios of 1 to change units, so they cancel correctly , till you get to what you need |dw:1453702939451:dw|

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