Calculate square yards from cubic yards by entering your material volume and spread depth, with instant reverse conversion.
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Cubic Yards to Square Yards Formula
Cubic yards measure volume and square yards measure area, so you cannot convert between them without a depth. Once you know how thick the material is spread, the two are linked by these formulas.
SY = CY / D
CY = SY * D
D = CY / SY
- SY = area in square yards (yd^2)
- CY = volume in cubic yards (yd^3)
- D = depth or thickness expressed in yards
Depth has to be in yards for these formulas to balance, because one cubic yard equals one square yard spread one yard deep. If you measure depth in inches, divide by 36 to get yards. If you measure in feet, divide by 3. A handy combined form is SY = CY * 36 / d, where d is the depth in inches.
The solve-for selector sets which value the calculator returns. Choosing square yards uses your cubic yards and depth. Choosing cubic yards uses your square yards and depth, which is the amount of material you need to order. Choosing depth uses your cubic yards and square yards to tell you how thick the layer will be. The depth field accepts inches, feet, yards, or centimeters and the calculator converts it for you.
Coverage at Common Depths
The area one cubic yard covers depends entirely on the depth. The first table shows how far a single cubic yard stretches at typical spread depths. The second shows how much material you need to cover 100 square yards.
| Depth | Square yards per 1 cubic yard |
|---|---|
| 1 inch | 36 yd² |
| 2 inches | 18 yd² |
| 3 inches | 12 yd² |
| 4 inches | 9 yd² |
| 6 inches | 6 yd² |
| 12 inches | 3 yd² |
| Depth | Cubic yards to cover 100 yd² |
|---|---|
| 1 inch | 2.78 yd³ |
| 2 inches | 5.56 yd³ |
| 3 inches | 8.33 yd³ |
| 4 inches | 11.11 yd³ |
| 6 inches | 16.67 yd³ |
Example Problems
Example 1. You have 5 cubic yards of mulch and want to spread it 3 inches deep. First convert the depth to yards: 3 / 36 = 0.0833 yd. Then divide the volume by the depth: 5 / 0.0833 = 60. The mulch covers 60 square yards.
Example 2. You need to cover 90 square yards of driveway with 4 inches of gravel. Convert the depth: 4 / 36 = 0.1111 yd. Then multiply area by depth: 90 * 0.1111 = 10. You need 10 cubic yards of gravel.
Frequently Asked Questions
Why do I need a depth to convert cubic yards to square yards? Cubic yards describe a volume that fills three dimensions, while square yards describe a flat area in two dimensions. The missing dimension is depth. Without knowing how thick the material is spread, the same volume could cover a small area deeply or a large area thinly, so there is no single answer until you set the depth.
How many square yards does one cubic yard cover? It depends on the depth. One cubic yard covers 12 square yards at 3 inches deep, 9 square yards at 4 inches, and 6 square yards at 6 inches. To find any value, divide 36 by the depth in inches.
Can I enter depth in feet or centimeters? Yes. The calculator converts inches, feet, yards, and centimeters to yards internally before applying the formula, so you can use whichever unit you measured with.
