Yards Per Cubic Foot Calculator: How to Convert
- Cubic feet
- ft³
- Result
- 1-cubic-foot bags
- bags
- Result
- Volume in cubic feet
- 54 ft³
- You entered
This calculator converts cubic feet to cubic yards (and vice versa) instantly. You enter a volume in cubic feet or cubic yards, and it returns the equivalent in the other unit, along with the number of 1-cubic-foot bags or 1-cubic-yard scoops you would need. The conversion is fixed: 1 cubic yard = 27 cubic feet.
Formula
The conversion between cubic feet and cubic yards is a simple linear relationship:
Cubic yards = Cubic feet ÷ 27
Cubic feet = Cubic yards × 27
Where:
- Cubic feet (ft³) – a volume equal to a cube with sides of 1 foot (0.3048 m).
- Cubic yard (yd³) – a volume equal to a cube with sides of 1 yard (3 feet, or 0.9144 m).
- 27 – the number of cubic feet in one cubic yard (3 × 3 × 3).
Worked Example
Using the default values from the calculator above: you have a volume of 54 cubic feet and want to know how many cubic yards that is.
- Start with the formula: cubic yards = cubic feet ÷ 27.
- Plug in 54: 54 ÷ 27 = 2.
- So 54 cubic feet equals exactly 2 cubic yards.
The calculator shows 2.00 cubic yards for the first output, matching the manual calculation. The second output shows that 2 cubic yards equals 54 cubic feet, confirming the round-trip. The third output tells you that 54 cubic feet is also 54 one-cubic-foot bags.
Why 27? The Math Behind the Conversion
The number 27 is not arbitrary—it comes from the definition of a yard as 3 feet. A cubic yard is a cube that is 1 yard long, 1 yard wide, and 1 yard high. In feet, that is 3 feet × 3 feet × 3 feet = 27 cubic feet. This is the same logic that gives 1728 cubic inches in a cubic foot (12 × 12 × 12), because there are 12 inches in a foot.
This conversion is used in landscaping, construction, and shipping, where materials like soil, mulch, gravel, and concrete are often sold by the cubic yard, but project measurements are taken in feet. For example, a flower bed that is 10 feet long, 4 feet wide, and 6 inches deep has a volume of 10 × 4 × 0.5 = 20 cubic feet. Dividing by 27 gives about 0.74 cubic yards, which is how much mulch you would need to order.
How to Use the Calculator Correctly
To get accurate results, follow these steps:
- Measure all dimensions in the same unit. If you have feet and inches, convert inches to feet by dividing by 12 (e.g., 6 inches = 0.5 feet).
- Multiply length × width × height to get cubic feet. For irregular shapes, break them into rectangular sections and add the volumes.
- Enter the total cubic feet into the calculator, or enter cubic yards if you already know that number.
- Read the outputs: the first gives cubic yards, the second gives cubic feet, and the third gives the number of 1-cubic-foot bags.
For a rectangular area, the formula is:
Volume (ft³) = Length (ft) × Width (ft) × Depth (ft)
For example, a patio slab that is 12 feet long, 10 feet wide, and 4 inches thick (0.333 feet) has a volume of 12 × 10 × 0.333 = 40 cubic feet. That equals 40 ÷ 27 ≈ 1.48 cubic yards of concrete.
Common Mistakes and Misconceptions
The most frequent error is mixing up cubic feet with square feet. Square feet measure area (2D), while cubic feet measure volume (3D). You cannot convert directly between them without knowing the depth. For example, 100 square feet is not a volume; you need to multiply by the depth to get cubic feet.
Another common mistake is forgetting to convert inches to feet. If you measure a depth of 6 inches and use 6 in the formula instead of 0.5, your volume will be 12 times too large. Always convert inches to feet by dividing by 12.
A third misconception is that a cubic yard is “3 cubic feet” because a yard is 3 feet. That is wrong—it is 3 feet in each dimension, so it is 3 × 3 × 3 = 27 cubic feet. This is a factor of 9 difference, which can lead to ordering far too much or too little material.
When to Use Cubic Feet vs. Cubic Yards
Choose the unit based on the scale of the project and how the material is sold:
- Cubic feet – best for small amounts, such as bagged mulch or soil from a garden center. A typical bag holds 1 or 2 cubic feet.
- Cubic yards – standard for bulk deliveries of gravel, sand, topsoil, or concrete. Trucks often carry 10–15 cubic yards.
For example, if you need to cover a 20 ft × 30 ft garden with 3 inches of mulch, the volume is 20 × 30 × 0.25 = 150 cubic feet. That is 150 ÷ 27 ≈ 5.56 cubic yards. You would order 6 cubic yards (or about 150 one-cubic-foot bags, which is impractical—bulk delivery is cheaper).
Practical Applications and Examples
Here are three real-world situations where this conversion matters:
- Landscaping mulch: A circular flower bed with a radius of 5 feet and a depth of 2 inches (0.167 ft) has an area of π × 5² ≈ 78.5 ft². Volume = 78.5 × 0.167 ≈ 13.1 ft³. That is 13.1 ÷ 27 ≈ 0.49 yd³, so you would order about half a cubic yard.
- Concrete slab: A driveway that is 20 ft × 12 ft × 6 inches (0.5 ft) has a volume of 120 ft³. In cubic yards: 120 ÷ 27 ≈ 4.44 yd³. Concrete is typically ordered in 0.25-yard increments, so you would order 4.5 yards.
- Soil for a raised bed: A bed that is 8 ft × 4 ft × 1 ft deep holds 32 ft³. That is 32 ÷ 27 ≈ 1.19 yd³. You could buy 32 one-cubic-foot bags or have 1.25 yards delivered.
For irregular shapes, use the average depth or break the shape into rectangles, cylinders, or other regular forms, then sum the volumes.
Limitations of the Conversion
This calculator only converts between two units of volume—it does not account for compaction, settling, or waste. When ordering materials like soil or gravel, suppliers often recommend adding 5–10% extra to cover compaction and spillage. The calculator gives the exact mathematical volume; you should adjust for practical needs.
Also, the conversion is only valid for volume. If you need to convert cubic yards to tons (a weight), you must know the material’s density (e.g., dry sand ≈ 1.4 tons per cubic yard, gravel ≈ 1.6 tons per cubic yard). This calculator does not perform weight conversions because density varies by material and moisture content.
Frequently Asked Questions
How many cubic feet are in a cubic yard?
Exactly 27 cubic feet. A cubic yard is a cube with sides of 1 yard (3 feet), so the volume is 3 × 3 × 3 = 27 ft³.
How do I convert square feet to cubic yards?
You cannot convert directly because square feet measure area, not volume. First multiply the area by the depth (in feet) to get cubic feet, then divide by 27. For example, 100 ft² × 0.5 ft = 50 ft³, which is 50 ÷ 27 ≈ 1.85 yd³.
What is the difference between a yard and a cubic yard?
A yard is a linear measure (length), while a cubic yard is a volume. A cubic yard is the volume of a cube that is 1 yard long, 1 yard wide, and 1 yard high. In landscaping, “yard” often informally means “cubic yard” when referring to bulk materials.
How many bags of mulch do I need for 2 cubic yards?
If the bags are 1 cubic foot each, you need 54 bags (2 × 27). If the bags are 2 cubic feet each, you need 27 bags (54 ÷ 2). Always check the bag size before buying.
Can I use this calculator for concrete?
Yes, for volume. Concrete is sold by the cubic yard, so entering the volume in cubic feet gives you the cubic yards to order. However, concrete is usually ordered in whole or half-yard increments, so round up to the nearest 0.5 yard and add a small waste factor.
Why does my supplier ask for cubic yards instead of cubic feet?
Because bulk materials are delivered in large quantities, and cubic yards are a more manageable number. For example, 54 cubic feet sounds large, but 2 cubic yards is easier to communicate and fits on a standard pickup truck bed.
Related
Formula used
in ft3 | Volume in cubic feet | ft³ | 54 | 0 in yd3 | Volume in cubic yards | yd³ | 2 | 0 out yd3_out | Cubic yards | yd³ | ft3 / 27 | 2 out ft3_out | Cubic feet | ft³ | yd3 * 27 | 2 out bags | 1-cubic-foot bags | bags | ft3 | 0
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.