Cubic Feet to Cubic Yards: Formula and Examples

To convert cubic feet to cubic yards, divide the number of cubic feet by 27: cubic yards = cubic feet ÷ 27. Enter a volume in cubic feet to get its equivalent in cubic yards, with the conversion based on the fact that one cubic yard contains 27 cubic feet.

Formula

Cubic yards = cubic feet ÷ 27, or yd³ = ft³ / 27.

• ft³ is the volume measured in cubic feet.
• yd³ is the equivalent volume measured in cubic yards.
• 27 is the number of cubic feet in one cubic yard.

The reverse conversion is cubic feet = cubic yards × 27. The calculator’s second output applies that reverse operation to the rounded cubic-yard result as a check; because the main result is rounded to two decimal places, that check may differ slightly from the original input.

Worked Example

Using the calculator’s default value of 27 ft³:

1. Start with 27 cubic feet.
2. Divide by 27: 27 ÷ 27 = 1.
3. Rounded to two decimal places, the result is 1.00 yd³.
4. For the reverse check, 1.00 × 27 = 27 ft³.

Why the Conversion Factor Is 27

A cubic yard is a cube that measures one yard on each side. Since one yard equals three feet, its sides are each three feet long. The volume is therefore 3 ft × 3 ft × 3 ft = 27 ft³. This is why converting between these cubic units uses 27, not 3.

That distinction matters because cubic measurements describe three dimensions. Multiplying the side-length conversion by itself for all three dimensions gives 3³ = 27. Dividing cubic feet by 27 changes the unit of volume without changing the amount of space represented.

When to Use Cubic Yards

Cubic feet are convenient for describing smaller spaces, containers, and packages. Cubic yards are often more manageable when estimating larger volumes of loose material or earthwork. For example, a volume of 1,350 ft³ is 50 yd³, a simpler figure to communicate for a large quantity.

The conversion changes the unit, not the substance or its weight. Fifty cubic yards of one material does not necessarily weigh the same as fifty cubic yards of another: density, moisture, and how material is packed affect mass. If a supplier or project specification asks for a weight, a volume conversion alone cannot provide it; you would also need a suitable density value.

How to Convert a Measured Space

If you are estimating the volume of a rectangular space, calculate its volume first, then convert it. Measure length, width, and depth in feet, multiply those dimensions to get cubic feet, and divide by 27 to get cubic yards.

1. Measure each dimension in the same unit. Convert inches to feet by dividing by 12.
2. Multiply length × width × depth to calculate cubic feet for a rectangular prism.
3. Divide that result by 27.
4. Keep extra decimal places during the calculation, then round the final quantity to a practical level.

For instance, a rectangular area measuring 12 ft long, 9 ft wide, and 1 ft deep has a volume of 108 ft³. Dividing 108 by 27 gives 4 yd³. For an irregular or sloped space, a single length-times-width-times-depth calculation may not represent the shape well. Break it into simpler sections or use an appropriate geometric method.

Common Mistakes and Rounding

• Using 3 instead of 27: Three is the feet-per-yard conversion for a length. A volume has three dimensions, so the cubic conversion factor is 3³, or 27.
• Mixing units before multiplying: If dimensions include feet and inches, convert them to one unit first. Multiplying 10 ft × 8 ft × 6 in without converting the six inches produces an inconsistent result.
• Rounding too early: Keep the full calculator result or several decimal places until the end. Early rounding can accumulate across several sections or loads.
• Assuming the result is a weight: Cubic yards measure volume. They do not directly state pounds, kilograms, or tonnes.

For a calculation, 0.01 yd³ is a useful display precision, but it may imply more accuracy than rough measurements support. Match rounding to the precision of the dimensions and the purpose of the estimate. For ordering material, also check the project’s measurement convention and whether the quoted amount refers to loose, delivered, or compacted volume; those conditions can affect the amount needed.

Frequently Asked Questions

How many cubic feet are in one cubic yard?
There are 27 cubic feet in one cubic yard, because a yard is three feet and volume scales across three dimensions: 3 × 3 × 3 = 27.

How do I convert cubic yards to cubic feet?
Multiply cubic yards by 27. For example, 2.5 yd³ × 27 = 67.5 ft³.

Is 1 cubic yard the same as 3 cubic feet?
No. One yard equals three feet as a length, but one cubic yard equals 27 cubic feet as a volume.

How many cubic yards are in 100 cubic feet?
Divide 100 by 27. The result is about 3.70 yd³ when rounded to two decimal places.

Can I convert cubic feet to cubic yards if the shape is irregular?
Yes, once you have a reliable volume in cubic feet. The division by 27 works for any shape; the challenge is measuring or calculating that shape’s volume accurately.

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in ft3 | Cubic feet | ft³ | 27 | 0
out yd3 | Cubic yards | yd³ | ft3 / 27 | 2
out ft3check | Cubic feet | ft³ | yd3 * 27 | 0