Square Feet to Cubic Yards Calculator
500 square feet of material spread 3 inches deep equals 4.63 cubic yards. This square feet to cubic yards calculator converts any flat area and a fill depth into a volume in cubic yards, using the same base conversion every contractor and supplier relies on: a cubic yard equals 27 cubic feet. Enter the area in square feet, then enter the depth in either inches or feet, and the calculator returns the cubic yards, the cubic feet, and the depth it used in feet. This is the general-purpose, material-agnostic version of the area-to-volume conversion. It does not attach bag sizes, waste allowances, or per-yard pricing to any single product. If you need those extras for a specific material, use the Mulch Calculator, Gravel Calculator, or Concrete Calculator instead, each of which builds on this same core formula with product-specific bag counts and cost math. This tool covers the raw conversion step that applies no matter what you are ordering, concrete, gravel, topsoil, sand, mulch, crushed stone, or any other fill material spread at a uniform depth.
Quick answer
A cubic yard always equals 27 cubic feet, so the formula divides area times depth in feet by 27 no matter what material you are ordering.
Cubic Yards
4.63yd3
Cubic Feet
125ft3
Depth Used
0.25ft
What this tells you
- •A cubic yard always equals 27 cubic feet, so the formula divides area times depth in feet by 27 no matter what material you are ordering.
- •Depth can be entered in inches or feet. Inches divide by 12 first to convert to feet, then the volume math runs the same way either path.
- •The result works for concrete, gravel, sand, topsoil, crushed stone, mulch, or any other fill material spread at a consistent depth.
- •This calculator returns pure volume only. It does not add bag counts, waste percentages, or delivery pricing, use a material-specific calculator for those extras.
- •Cubic feet is shown as an intermediate figure because some suppliers, mixers, and equipment specs quote coverage in cubic feet instead of cubic yards.
How to Use
- 1Enter the flat area you need to fill or cover, in square feet. Multiply length by width first if you only have room or bed dimensions on hand.
- 2Enter the depth you plan to spread or pour. Use inches for shallow layers like gravel or topsoil, or feet for deeper fills like a footing or a raised planter.
- 3Select the matching depth unit from the dropdown so the calculator applies the correct conversion before dividing by 27.
- 4Review the cubic yards result along with the cubic feet figure, which is useful when a supplier or spec sheet quotes coverage in cubic feet instead.
- 5Round up slightly when placing a bulk order, since suppliers rarely sell partial cubic yards and most projects benefit from a small buffer.
How It Works
Formula
Depth (ft) = Depth (in) / 12 [only when depth is entered in inches]
Cubic Feet = Area (ft^2) x Depth (ft)
Cubic Yards = Cubic Feet / 27The calculator starts with whatever depth unit you choose. If you entered inches, it divides by 12 to convert to feet, because cubic feet require every dimension in the same unit. If you entered feet directly, that conversion step is skipped and the depth is used as is. Next it multiplies the area in square feet by the depth in feet to get cubic feet, the raw volume needed to fill that space. Finally it divides cubic feet by 27, because a cubic yard is defined as 3 feet by 3 feet by 3 feet, which equals 27 cubic feet. The result is identical whether the material is concrete, gravel, sand, or mulch, because this step only converts a shape's dimensions into a volume. It has no idea what fills that volume, which is exactly why it works across every material.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Topsoil for a 500 square foot garden bed at 3 inches deep
Three inches converts to 0.25 feet. Multiplying 500 square feet by 0.25 feet gives 125 cubic feet, and 125 divided by 27 equals 4.63 cubic yards after rounding.
Gravel base for a 200 square foot patio at a 0.5 foot depth
Because depth was entered directly in feet, no inches conversion runs. 200 square feet times 0.5 feet gives 100 cubic feet, and 100 divided by 27 equals 3.70 cubic yards.
Fill sand for a 1,000 square foot area at 4 inches deep
Four inches equals 0.3333 feet. 1,000 square feet times 0.3333 feet gives 333.33 cubic feet, and dividing by 27 gives 12.35 cubic yards.
A neat 1 cubic yard footing check
A 27 square foot pad at a full 1 foot deep produces exactly 27 cubic feet, which is exactly 1 cubic yard. This is a useful sanity check for the underlying conversion factor.
A small 50 square foot patch at 1 inch deep
One inch equals 0.0833 feet. 50 square feet times 0.0833 feet gives about 4.17 cubic feet, which is only 0.15 cubic yards, well under most suppliers' bulk minimum order.
Cubic yards per 100 square feet by depth
This chart shows how volume scales with depth across a fixed 100 square foot area, independent of the material being placed.
| Depth | Depth in feet | Cubic feet (100 ft2) | Cubic yards (100 ft2) |
|---|---|---|---|
| 1 inch | 0.0833 | 8.33 | 0.31 |
| 2 inches | 0.1667 | 16.67 | 0.62 |
| 3 inches | 0.25 | 25.00 | 0.93 |
| 4 inches | 0.3333 | 33.33 | 1.23 |
| 6 inches | 0.5 | 50.00 | 1.85 |
| 8 inches | 0.6667 | 66.67 | 2.47 |
| 12 inches (1 foot) | 1.0 | 100.00 | 3.70 |
Multiply these figures by area / 100 to scale the result to a different square footage at the same depth.
Why one conversion works for every fill material
Square feet measure a flat surface. Cubic yards measure a volume, which needs a third dimension: depth. The moment you add a depth to an area, you are describing a slab of material, whether that slab ends up being poured concrete, spread gravel, loose topsoil, or bagged mulch. The conversion from square feet and depth to cubic yards never changes based on what fills the slab, which is why this calculator has no material selector and no product list.
Material-specific calculators start from this same conversion and then add the details that vary by product. A mulch calculator adds bag sizes and a waste allowance because bagged mulch settles and spreads unevenly. A gravel calculator often adds compaction and material density so you can convert volume into a delivered weight. A concrete calculator usually adds a price per yard and sometimes a bag count for smaller pours using dry mix. None of those extras change the underlying square-feet-to-cubic-yards math, they just build on top of it for one specific product.
That separation is useful when you are comparing materials for the same job. If you are deciding between a gravel base and a compacted sand base for the same patio footprint, the raw cubic yard figure from this calculator is identical for both options because the area and depth do not change. The weight, cost, and bag count will differ once you move to a material-specific calculator, but the volume you need to fill stays the same.
It also helps when you are working from a supplier's spec sheet instead of a specific product page. Some quotes list coverage in cubic feet, others in cubic yards, and a few list depth in inches while your own plan uses feet. Converting everything to a shared unit first, then comparing totals, avoids the common trap of comparing a cubic-foot number against a cubic-yard number as if they were the same scale.
Common mistakes
- Forgetting to convert inches to feet before multiplying, which throws the volume off by a factor of 12 in either direction.
- Confusing cubic feet with cubic yards when comparing a supplier quote, since the two units differ by a factor of 27.
- Using one average depth across a sloped or uneven area instead of measuring several spots and averaging them first.
- Skipping a small buffer for spillage, compaction, or an uneven base surface when placing a bulk delivery order.
- Multiplying length by width by depth using mismatched units, such as feet for the sides and inches for the depth, without converting first.
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