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# Centimeters cubed to meters cubed conversion - Scientific Explorer My First Chemistry Kit

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1 centimeter cubed = 1.0 × 10-6 meters cubed

Posted on Oct 06, 2009

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Here is another more detailed way to solve this problem, using dimensional analysis:

You want to convert cm3 to m3.

• Consider the two different units without their superscripts: that is, cm and m.
• Relate them to each other: that is, 1 m = 100 cm is probably the easiest way.
• Use the above equivalency by rewriting it as a ratio: 1 m/100 cm or 100 m/1 cm.
• Now cube each one of the above ratios: that is, 1 m^3/(100 cm)^3 or (100 cm)^3/1 cm^3. You want to do this cubing, because, you want to match the unit in the given starting quantity, 1 cm^3.
• Next multiply one of the above ratios (also called the "conversion factor") times the given quantity, as followed below:

Posted on Jan 05, 2011

• DubbleA Jan 05, 2011

OOPS! I noticed a typo in the third bullet line: At the end of the line, in the last ratio, I typed
100 m/1cm. That of course, should have been written as 100 cm/1 m. I intended to just flip the first ratio, not change the units. Sorry for any inconvenience.

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Posted on Jan 02, 2017

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