Lesson Converting measures of volume: cubic feet and cubic meters

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<H2>Converting measures of volume: cubic feet and cubic meters</H2>

Meters, &nbsp;centimeters, &nbsp;and millimeters are international units to measure length.

Among them, &nbsp;meter &nbsp;(m)&nbsp; is the &nbsp;<B>base unit</B>. &nbsp;Centimeters (cm) &nbsp;and millimeters (mm) &nbsp;are derived units: &nbsp;1 cm = 0.01 m &nbsp;and&nbsp; 1 mm = 0.001 m.

The derived units for volume are cubic meter &nbsp;{{{(m^3)}}}, &nbsp;cubic centimeter &nbsp;{{{(cm^3)}}}&nbsp; and cubic millimeter &nbsp;{{{(mm^3)}}}.

Closely related unit of volume is liter. &nbsp;It is used to measure liquid volumes. &nbsp;1&nbsp; liter is &nbsp;1000&nbsp; cubic centimeters.

Barrel is unit of volume used to measure volumes of extracted oil.

Feet and inches are widely used in &nbsp;USA&nbsp; as units of length.

Internal inter-relation between feet and inches is &nbsp;1 ft = 12 in.

The derived units for volume are cubic foot &nbsp;{{{(ft^3)}}}&nbsp; and cubic inch &nbsp;{{{(in^3)}}}.

Besides of it, &nbsp;other units for volume often used in USA are gallons and oz. &nbsp;These units are used for liquid volumes.

Obviously, &nbsp;if people have so many units for volume, &nbsp;they need sometimes to convert measures from one unit to another.

In this lesson you will find how to convert cubic feet to cubic meters and vice versa.

<H3>1. Converting cubic feet to cubic meters</H3>You, probably, know that 
<BLOCKQUOTE><TABLE BORDER=2>
  <TR>
  <TD>&nbsp;&nbsp;&nbsp;&nbsp;1 ft = 0.3048 m&nbsp;&nbsp;&nbsp;&nbsp;
  </TD>
  </TR>
</TABLE></BLOCKQUOTE>It implies<BLOCKQUOTE><TABLE BORDER=2>
  <TR>
  <TD>&nbsp;&nbsp;&nbsp;&nbsp;1 {{{ft^3}}} = {{{0.3048^3}}} {{{m^3}}} = {{{0.0283168}}} {{{m^3}}}&nbsp;&nbsp;&nbsp;&nbsp;
  </TD>
  </TR>
</TABLE></BLOCKQUOTE> Now, &nbsp;if you need to convert, &nbsp;let say, &nbsp;10&nbsp; cubic feet to meters, &nbsp;you simply have to multiply &nbsp;10&nbsp; by the conversion factor &nbsp;0.0283168:

10 {{{ft^3}}} = 0.0283168*10 {{{m^3}}} = 0.283 {{{m^3}}} (approximately).

In general, &nbsp;if you need to convert &nbsp;{{{V}}}&nbsp; cubic feet to cubic meters, &nbsp;you have to multiply &nbsp;{{{V}}}&nbsp; by the conversion factor &nbsp;0.0283168<BLOCKQUOTE><TABLE BORDER=2>
  <TR>
  <TD>&nbsp;&nbsp;&nbsp;&nbsp;{{{U}}} = {{{0.0283168}}}.{{{V}}}.&nbsp;&nbsp;&nbsp;&nbsp;
  </TD>
  </TR>
</TABLE></BLOCKQUOTE>Here {{{V}}} on the right side is the given measure of volume in cubic feet. &nbsp;{{{U}}} on the left side is the measure of the same volume in cubic meters after conversion.

<H3>Example 1</H3>Convert &nbsp;100&nbsp; cubic feet to cubic meters.

<B>Solution</B>

100 {{{ft^3}}} = 0.0283168*100 {{{m^3}}} = 2.83168 {{{m^3}}}.

<H3>2. Converting cubic meters to cubic feet</H3>If you need to convert, &nbsp;for example, &nbsp;10&nbsp; cubic meters to cubic feet, &nbsp;you simply have to divide &nbsp;10&nbsp; by the conversion factor &nbsp;{{{0.3048^3}}} = {{{0.0283168}}}:

10 {{{m^3}}} = {{{10/0.0283168}}} {{{ft^3}}} = 353.147 {{{ft^3}}} (approximately).

In general, &nbsp;if you need to convert &nbsp;{{{U}}}&nbsp; cubic meters to cubic feet, &nbsp;you have to divide &nbsp;{{{U}}}&nbsp; by the conversion factor &nbsp;0.0283168:<BLOCKQUOTE><TABLE BORDER=2>
  <TR>
  <TD>&nbsp;&nbsp;&nbsp;&nbsp;{{{V}}} = {{{U/0.0283168}}}.&nbsp;&nbsp;&nbsp;&nbsp;
  </TD>
  </TR>
</TABLE></BLOCKQUOTE>Here {{{U}}} on the right side is the given measure of volume in cubic meters. &nbsp;{{{V}}} on the left side is the measure of the same volume in cubic feet after conversion.

<H3>Example 2</H3>Convert &nbsp;1000&nbsp; cubic meters to cubic feet.

<B>Solution</B>

1000 {{{m^3}}} = {{{1000/0.0283168}}} {{{ft^3}}} = 35314.7 {{{ft^3}}}.

My other lessons on units conversion in this site are

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/conversion/units-conversion-examples.lesson>Units conversion examples</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/conversion/Converting-feets-to-meters-Inches-to-centimeters-Miles-to-kilometers-and-vice-versa.lesson>Converting feet to meters, inches to centimeters, miles to kilometers and vice versa</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/conversion/Converting-miles-per-hour-to-kilometers-per-hour.lesson>Converting speed units: miles per hour to kilometers per hour and vice versa</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/conversion/Converting-measures-of-liquid-volume-Liters-gallons-barrels-oz.lesson>Converting liquid volume measures: liters, gallons, and barrels</A>

To navigate over the lessons on units conversion use the file &nbsp;<A HREF=https://www.algebra.com/algebra/homework/conversion/OVERVIEW-of-lessons-on-Units-conversion.lesson>OVERVIEW of lessons on Units conversion</A>.