CY Calculator
Conversions

Square Feet to Cubic Yards: How to Convert

Learn how to convert square feet to cubic yards when you know the material depth, with a simple formula and examples.

CY Calculator Team

8 min read

On this page

Plenty of projects start with a square footage. A landscaping quote lists the bed area, a property survey shows the lawn size, or a sod invoice tells you exactly how many square feet you covered last year. Suppliers of mulch, soil, gravel and concrete, however, want a number in cubic yards. Bridging that gap is simple once you know one extra figure, and this guide shows how to do it, with a handy divisor table, examples in several units and a few traps to watch for.

Why You Need a Depth to Convert

Square feet describe a flat surface. Cubic yards describe a volume. You cannot turn one into the other directly, any more than you could turn the floor area of a room into the amount of water it would hold without knowing how deep to fill it. The missing piece is depth: how thick a layer of material you plan to spread.

Once you know the depth, the conversion is a single line of arithmetic. Without it, any square feet to cubic yards calculator is just guessing.

The Square Feet to Cubic Yards Formula

With depth in inches, which is how most people measure it:

Cubic yards = square feet × depth (in) ÷ 324

The 324 combines two conversions: 12 inches per foot and 27 cubic feet per cubic yard. If you would like the background on why 27 matters, our cubic yard calculation guide explains it, and how many cubic feet are in a cubic yard goes deeper into that relationship.

A worked example

A landscaper's plan lists 850 square feet of planting beds, and you want 3 inches of mulch. The calculation is 850 × 3 ÷ 324 = 7.87 cubic yards. Rounded up to what most suppliers sell, that is an 8-yard order.

The Divisor Shortcut

For any fixed depth, the formula boils down to dividing your square footage by a single number. Learn the one for your depth and you can convert square footage to cubic yards in your head.

Divide square feet by this number to get cubic yards
DepthDivide square feet by
1 in324
2 in162
3 in108
4 in81
6 in54
9 in36
12 in27

Each divisor is simply 324 divided by the depth in inches. The 850-square-foot bed above, at 3 inches, is 850 ÷ 108 = 7.87 cubic yards, the same answer with less effort.

Getting Your Square Footage in the First Place

Sometimes the area is handed to you in a different unit. Convert it to square feet first, then apply the formula.

Converting other area units to square feet
You haveMultiply byTo get
Square yards9Square feet
Square meters10.764Square feet
Acres43,560Square feet

If you only have the dimensions, multiply length by width for rectangles, or split odd shapes into simple pieces. The Square Feet Calculator handles circles, triangles, trapezoids and more, and it can show cubic yards as well once you add a depth.

Examples in Different Units

Starting from square yards

An old sod receipt shows 60 square yards of lawn, and you want to top it with 2 inches of soil. First, 60 × 9 = 540 square feet. Then 540 ÷ 162 = 3.33 cubic yards.

Starting from acres

A quarter-acre lawn is 43,560 ÷ 4 = 10,890 square feet. A light top-dressing half an inch deep needs 10,890 × 0.5 ÷ 324 = 16.81 cubic yards. Even a very thin layer adds up to a lot of material over a large area, so it pays to check this figure before you commit to the job.

Starting from square meters

A garden plan lists 45 square meters, and the depth is 5 centimeters. Converted, that is about 484.4 square feet and 1.97 inches, giving 484.4 × 1.97 ÷ 324 = 2.94 cubic yards. Working fully in metric gets the same result: 45 × 0.05 = 2.25 cubic meters, multiplied by 1.308 is 2.94 cubic yards.

When the Depth Is Not the Same Everywhere

Some jobs call for a layer that gets thicker from one side to the other, such as building up soil against a slope or filling a gentle dip. If the depth changes evenly across the area, you can use the average of the shallowest and deepest points.

Imagine a 400-square-foot strip that needs 2 inches of fill along one edge, rising steadily to 6 inches along the other. The average depth is (2 + 6) ÷ 2 = 4 inches, so you need 400 × 4 ÷ 324 = 4.94 cubic yards. For uneven ground that does not change in a straight line, split the area into smaller sections, find each one's average depth and add the results.

Going the Other Way: Cubic Yards to Square Feet

Sometimes you already have a pile of material and want to know how far it will spread. Reverse the formula:

Square feet covered = cubic yards × 324 ÷ depth (in)

Say 5 cubic yards of mulch is left over from a delivery. At 3 inches deep, it will cover 5 × 324 ÷ 3 = 540 square feet. At 2 inches, the same pile stretches to 810 square feet.

From Square Feet Straight to Bags

For small areas, you may be buying bags rather than bulk. Skip cubic yards entirely: take the area times the depth in inches, divide by 12 to get cubic feet, then divide by the bag size printed on the label.

Bags = square feet × depth (in) ÷ 12 ÷ bag size (cu ft)

A 120-square-foot border at 2 inches deep needs 120 × 2 ÷ 12 = 20 cubic feet, which is 10 bags of 2 cubic feet. Round up whenever the answer is not a whole number.

Comparing a Per-Square-Foot Quote

Landscapers often price jobs per square foot installed, which makes it hard to see how much of the bill is material and how much is labor. Converting the area to cubic yards lets you separate the two.

Suppose a quote for those 850 square feet of beds comes to $1.00 per square foot, or $850 in total, for 3 inches of mulch. You already know that is about 8 cubic yards. If bulk mulch costs $40 a yard delivered in your area, the material is roughly $320, and the remaining $530 covers labor, edging and cleanup. These prices are only an illustration, but the method shows you whether doing it yourself is worth the weekend.

Mistakes to Watch For

  • Treating square yards as cubic yards. A quote for 60 square yards of turf is an area. It says nothing about volume until you add a depth.
  • Dividing square feet by 3 to get square yards. Area needs dividing by 9, because a square yard is 3 ft by 3 ft.
  • Using the whole lot size. A property survey includes the house, driveway and patios. Subtract anything you will not be covering.
  • Forgetting areas inside the area. If a lawn has flower beds, a shed or a pond in it, take those out before you convert.
  • Using the depth in feet with the 324 shortcut. The 324 version only works with inches. With depth in feet, divide by 27 instead.

Frequently Asked Questions

How many cubic yards is 2,000 square feet?

It depends on the depth. At 2 inches, 2,000 square feet needs 12.35 cubic yards. At 4 inches it needs 24.69 cubic yards.

Can I convert square feet to cubic yards without a depth?

No. Square feet measure area and cubic yards measure volume, so a depth is always needed to link the two.

How many square feet will 6 cubic yards cover?

Multiply 6 by 324 and divide by the depth in inches. At 3 inches, 6 cubic yards covers 648 square feet. At 4 inches, it covers 486 square feet.

What is the formula if my depth is in centimeters?

Take the area in square feet, times the depth in centimeters, and divide the result by about 823. That number is 324 multiplied by 2.54, the number of centimeters in an inch.

Is a square feet calculator the same as a cubic yards calculator?

Not quite. A square feet calculator measures area, while a cubic yards calculator measures volume. You often need both: the area first, then the volume once you choose a depth.

Final Thoughts

Converting square feet to cubic yards always needs the same three things: the area in square feet, the depth in inches and the number 324. Use the divisor table for a quick answer, or the full formula when the depth is unusual. To skip the arithmetic, enter your area into the CY Calculator, which accepts a known area directly, or use the material calculators for mulch, topsoil, gravel and sand. For the next step, converting volume into weight, see our cubic yards to tons guide.

Put it into practice

Use the calculator to get your exact numbers in seconds.

Keep reading

All guides →