3 Ways To Convert Cubic Feet To Cubic Yards - WikiHow

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Terms of Use wikiHow is where trusted research and expert knowledge come together. Learn why people trust wikiHow How to Convert Cubic Feet to Cubic Yards PDF download Download Article Reviewed by Joseph Meyer

Last Updated: March 10, 2025 References

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  • Using a Proportion
    • |
  • Multiplying by the Conversion Rate
    • |
  • Converting Cubic Yards to Cubic Feet
    • |
  • Video
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  • Q&A
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  • Tips
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This article was reviewed by Joseph Meyer. Joseph Meyer is a High School Math Teacher based in Pittsburgh, Pennsylvania. He is an educator at City Charter High School, where he has been teaching for over 7 years. Joseph is also the founder of Sandbox Math, an online learning community dedicated to helping students succeed in Algebra. His site is set apart by its focus on fostering genuine comprehension through step-by-step understanding (instead of just getting the correct final answer), enabling learners to identify and overcome misunderstandings and confidently take on any test they face. He received his MA in Physics from Case Western Reserve University and his BA in Physics from Baldwin Wallace University. This article has been viewed 138,152 times.

A cubic foot is a measurement of volume. A cubic foot has a length, width, and height of 1 foot. Similarly, a cubic yard is a measurement of volume that has a length, width, and height of 1 yard. These measurements are often used to calculate gravel, sand, and other materials that fill in a large area. Since feet and yards are both imperial units of measurement, converting between them is easy.

Steps

Method 1 Method 1 of 3:

Using a Proportion

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  1. Step 1 Determine that you are making the correct conversion. 1 Determine that you are making the correct conversion. In this method, you should know how many cubic feet you have, and want to find out how many cubic yards that value is equal to. Make sure you are working with cubic units (volume), and not square units (area).
    • For example, you might want to convert 600 cubic feet to cubic yards.
  2. Step 2 Understand the relationship between cubic yards and cubic feet. 2 Understand the relationship between cubic yards and cubic feet. There are 27 cubic feet in a cubic yard. This means for every cubic yard, you have 27 cubic feet. You can show this by the proportion 1 y d 3 27 f t 3 {\displaystyle {\frac {1yd^{3}}{27ft^{3}}}} .[1] Advertisement
  3. Step 3 Set up an equation. 3 Set up an equation. On the left side will be the unit proportion of cubic yards to cubic feet. On the right side will be a proportion representing the number yards you are trying to find. Create a fraction with an unknown number of yards in the numerator ( x {\displaystyle x} ), and the number of feet you are converting in the denominator.
    • For example, if you want to know how many cubic yards are in 600 cubic feet, your equation will look like this: 1 y d 3 27 f t 3 = x 600 f t 3 {\displaystyle {\frac {1yd^{3}}{27ft^{3}}}={\frac {x}{600ft^{3}}}} .
  4. Step 4 Isolate the variable. 4 Isolate the variable. To do this, multiply each side of the equation by the number of cubic feet you are trying to convert. Multiply the number of cubic feet by the numerator of the unit proportion on the left side of the equation.
    • For example: 1 y d 3 27 f t 3 = x 600 f t 3 {\displaystyle {\frac {1yd^{3}}{27ft^{3}}}={\frac {x}{600ft^{3}}}} 1 y d 3 27 f t 3 × 600 = x 600 f t 3 × 600 {\displaystyle {\frac {1yd^{3}}{27ft^{3}}}\times 600={\frac {x}{600ft^{3}}}\times 600} 600 y d 3 27 f t 3 = x {\displaystyle {\frac {600yd^{3}}{27ft^{3}}}=x}
  5. Step 5 Divide the number of cubic feet by 27. 5 Divide the number of cubic feet by 27. This will give you the equivalent number of cubic yards. Note that you can simplify this method by simply dividing the number of cubic feet you have by 27.[2]
    • For example: 600 y d 3 27 f t 3 = x {\displaystyle {\frac {600yd^{3}}{27ft^{3}}}=x} 22.2 y d 3 = x {\displaystyle 22.2yd^{3}=x} So, 600 cubic feet is equal to 22.2 cubic yards.
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Method 2 Method 2 of 3:

Multiplying by the Conversion Rate

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  1. Step 1 Ensure you are making the correct conversion. 1 Ensure you are making the correct conversion. For this method you should begin with cubic feet and end up with cubic yards. This method does not work for the opposite conversion (cubic yards to cubic feet). Make sure you are using cubic units and not square units, as the conversion rate will be different.
  2. Step 2 Calculate the conversion rate. 2 Calculate the conversion rate. For every 1 cubic yard, there are 27 cubic feet. This means that a cubic foot is 1 27 {\displaystyle {\frac {1}{27}}} of a cubic yard. To find the conversion rate, you calculate 1 ÷ 27 = .03703704 {\displaystyle 1\div 27=.03703704} .[3]
  3. Step 3 Multiply the number of cubic feet by the conversion rate. 3 Multiply the number of cubic feet by the conversion rate. This will give you the number of cubic yards that are equivalent to the given number of cubic feet. Since feet are smaller than yards, you will end up with fewer yards than feet after converting.
    • For example, if you want to convert 600 cubic feet to cubic yards, calculate ( 600 ) ( .03703704 ) = 22.2 {\displaystyle (600)(.03703704)=22.2} . So, 600 cubic feet is equivalent to 22.2 cubic yards.
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Method 3 Method 3 of 3:

Converting Cubic Yards to Cubic Feet

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  1. Step 1 Make sure you are converting correctly. 1 Make sure you are converting correctly. In this method you begin with cubic yards and end up with cubic feet. If you are working with square feet and square yards, this conversion method will not work.
  2. Step 2 Understand the relationship between cubic yards and cubic feet. 2 Understand the relationship between cubic yards and cubic feet. There are 27 cubic feet in a cubic yard. That means that the number of cubic feet will be 27 times more than the equivalent number of yards.[4]
  3. Step 3 Multiply the number of cubic yards by 27. 3 Multiply the number of cubic yards by 27. This will give you the number of cubic feet equivalent to the given number of cubic yards. Since feet are smaller than yards, the number of feet will be greater than the number of yards.[5]
    • For example, if you wanted to convert 20 cubic yards to cubic feet, you would calculate ( 20 ) ( 27 ) = 540 {\displaystyle (20)(27)=540} . So 20 cubic yards is equivalent to 540 cubic feet.
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Community Q&A

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  • Question How many yards of concrete in an area 8 feet x 5 feet x 5 inches deep? Donagan Donagan Top Answerer First multiply 8 by 5 by 5/12 = 16.67 cubic feet. Then divide by 27 (or multiply by 0.037) to find cubic yards. Thanks! We're glad this was helpful. Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 4 Helpful 5
  • Question How many yards in a cubic yard? Donagan Donagan Top Answerer There is no such thing as "yards in a cubic yard." A cubic yard may be visualized, however, as a cube with each edge measuring one yard in length (although that's not the only shape a cubic yard could take; it could take virtually any shape). Thanks! We're glad this was helpful. Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 4 Helpful 1
  • Question How many liquid gallons are in a cubic foot? Community Answer Community Answer There are 7.48052 gallons in a cubic foot. So to convert gallons to cubic feet, you would divide the number of gallons by 7.48052. To convert cubic feet to gallons, multiply the number of cubic feet by 7.48052. Thanks! We're glad this was helpful. Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 0 Helpful 0
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Video

Tips

  • If you are being asked to use the metric system, you will need to convert cubic yards into cubic meters. To do this, divide the number of yards by 1.3080. [6] Thanks Helpful 0 Not Helpful 0
  • Many construction websites have built-in calculators to help you judge how much concrete you need to order to fill your space. Thanks Helpful 0 Not Helpful 0
Submit a Tip All tip submissions are carefully reviewed before being published Name Please provide your name and last initial Submit Thanks for submitting a tip for review! Advertisement

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References

  1. ↑ https://www.inchcalculator.com/convert/cubic-yard-to-cubic-foot/
  2. ↑ https://www.omnicalculator.com/construction/cubic-yard
  3. ↑ https://www.checkyourmath.com/convert/volume/cubic_volume/feet_yards.php
  4. ↑ http://www.mathsisfun.com/volume-conversion.html
  5. ↑ https://www.inchcalculator.com/convert/cubic-yard-to-cubic-foot/
  6. ↑ http://www.metric-conversions.org/volume/cubic-yards-to-cubic-meters.htm

About This Article

Joseph Meyer Reviewed by: Joseph Meyer Math Teacher This article was reviewed by Joseph Meyer. Joseph Meyer is a High School Math Teacher based in Pittsburgh, Pennsylvania. He is an educator at City Charter High School, where he has been teaching for over 7 years. Joseph is also the founder of Sandbox Math, an online learning community dedicated to helping students succeed in Algebra. His site is set apart by its focus on fostering genuine comprehension through step-by-step understanding (instead of just getting the correct final answer), enabling learners to identify and overcome misunderstandings and confidently take on any test they face. He received his MA in Physics from Case Western Reserve University and his BA in Physics from Baldwin Wallace University. This article has been viewed 138,152 times. 30 votes - 66% Co-authors: 6 Updated: March 10, 2025 Views: 138,152 Categories: Conversion Aids Article SummaryX

To convert cubic feet into cubic yards, take the number of cubic feet and divide it by 27, which is the number of cubic feet in 1 cubic yard. For example, if you want to know how many cubic yards are in 600 cubic feet, divide 600 by 27 to get your answer, which is 22.2 cubic yards. Alternatively, find the conversion rate for cubic feet into cubic yards by dividing 1 by 27, which is 0.03704. Finish by multiplying the number of cubic feet by the conversion rate to get your answer. To find out how to convert cubic yards into cubic feet, read on! Did this summary help you?YesNo

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Yes No Advertisement Cookies make wikiHow better. By continuing to use our site, you agree to our cookie policy. Joseph Meyer Reviewed by: Joseph Meyer Math Teacher 30 votes - 66% Click a star to vote Co-authors: 6 Updated: March 10, 2025 Views: 138,152

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