Units of Conversion

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Cubic (Volume) Measure
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Review the following table of Standard Units of Conversion to see if you can create fractions that have a value of 1. You can click to examples following each table.

 

Cubic Measure

  1 cubic inch 16.387 cubic centimeters
1,728 cubic inches 1 cubic foot 0.0282 cubic meter
16 cubic feet 1 cord foot 0.453 cubic meter
128 cubic feet 1 cord 3.625 cubic meters
27 cubic feet 1 cubic yard 0.7646 cubic meter
1,000 cubic millimeters 1 cubic centimeter 0.06102 cubic inch
1,000 cubic centimeters 1 cubic decimeter 61.023 cubic inches or 0.0353 cubic foot
1,000 cubic decimeters 1 cubic meter 35.314 cubic feet

Example 1:What exactly does 1 cubic foot mean?

Answer:

One cubic foot means 1 foot tex2html_wrap_inline354 1 foot tex2html_wrap_inline354 1 foot or 1 foot 3

Example 2:Convert 50 cubic yards to cubic feet.

Solution: From the above table you can see a link between cubic feet and cubic yards.

  • 50 cubic yards can be written as 50 x 1 cubic yard.
  • Since 27 cubic feet is equivalent to 1 cubic yard, the fraction

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    is equivalent to 1.

  • Multiply 50 x 1 cubic yard by 1 in the equivalent form

    displaymath339

    to obtain 50 x 1 cubic yard x tex2html_wrap_inline362 .

  • Rewrite the above expression as

    displaymath340

     

  • Multiply the two fractions:

    displaymath341

     

  • Rearrange the numerator:

    displaymath342

     

  • Write the above fraction as a product of fractions so that some of the fractions have a value of 1:

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  • The answer is 1,350 cubic feet, or 1,350 feet3.
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