So, the conversion factor is 10^6.

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Homework Help Overview

The discussion revolves around unit conversion, specifically converting from cubic meters to cubic centimeters. Participants are exploring the implications of dimensional changes when cubing the conversion factor.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the conversion process from meters cubed to centimeters cubed, questioning the standard conversion factor and its application in cubic measurements.

Discussion Status

Some participants have provided insights into the conversion process and have started to explore the implications of cubing the conversion factor. There is a focus on understanding how the dimensional change affects the numerical value of the conversion.

Contextual Notes

There appears to be some confusion regarding the application of the conversion factor when transitioning from linear to cubic measurements, highlighting the need for clarity on dimensional analysis.

Twilit_Truth
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When going from meters cubed to centimeters cubed, what do you change from the normal 10 ^ -2?


Thank you for your time.
 
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Just think of it this way ...

1m=10^2cm

or

10^{-2}m=1cm
 
But what about when it is meters cubed to centimeters cubed? Isn't something different there?
 
Twilit_Truth said:
But what about when it is meters cubed to centimeters cubed? Isn't something different there?
1m=10^2cm

cubed ...

(1m)^3=(10^2cm)^3

which becomes

1m^3=10^6cm^3
 

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