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Square Feet to Cubic Yards Calculator

Volume (yd³): -

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

This is a planning estimate. Confirm dimensions, allowances, material specifications, applicable codes, and supplier requirements before purchasing or construction.

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How the Square Feet to Cubic Yards Calculator works

Convert square feet and material depth to cubic yards.

Before using the result

This is a planning estimate. Confirm dimensions, allowances, material specifications, applicable codes, and supplier requirements before purchasing or construction.

About this calculator

Convert square feet and material depth to cubic yards.

Calculator guide

How the square feet to cubic yards calculator works

Concrete, mulch, topsoil and gravel are sold by the cubic yard in the US, but projects are usually measured as an area in square feet and a depth in inches. This calculator joins the two:

Cubic yards = area (ft²) × depth (in) ÷ 324

Where does 324 come from?

There are 12 inches in a foot, so depth in inches ÷ 12 gives feet. That makes area × depth a volume in cubic feet. A cubic yard is 3 × 3 × 3 = 27 cubic feet. So you divide by 12 and then by 27, and 12 × 27 = 324.

Worked example: a 20 ft × 20 ft patio slab, 4 inches thick

  1. Area: 20 × 20 = 400 ft²
  2. Depth: 4 in
  3. 400 × 4 ÷ 324 = 4.94 cubic yards
  4. Add about 5–10% for waste and uneven sub-grade: ≈ 5.3–5.4 yd³

Ready-mix is often ordered in quarter or half-yard steps, so for this slab I'd order 5.5 yd³. In metric, 4.94 yd³ is 4.94 × 0.7646 = 3.78 m³.

Quick reference

Depthft² covered by 1 yd³Typical use
2 in162 ft²Mulch or decorative stone top-up
3 in108 ft²New mulch beds, gravel paths
4 in81 ft²Patios, sidewalks, shed slabs
6 in54 ft²Driveways, heavier-duty slabs

Using it for bulk materials

The same maths works for mulch, soil and gravel. Mulch and topsoil are sold by volume, so the answer is your order quantity (plus a little extra for settling). Gravel is often sold by the ton. As a rough guide, one cubic yard of gravel weighs about 1.3–1.5 US tons, but ask your supplier for their figure. If you work in metric, our gravel calculator gives the weight directly.

Common mistakes

Frequently asked questions

How many square feet does a yard of concrete cover?

81 ft² at 4 inches thick, or 54 ft² at 6 inches.

How many cubic yards are in a cubic metre?

One cubic metre is about 1.308 cubic yards, and one cubic yard is about 0.7646 cubic metres.

How many bags of concrete are in a cubic yard?

Roughly 45 bags of 80 lb premix or 60 bags of 60 lb premix, depending on the product's stated yield. Beyond one or two yards, ready-mix is usually cheaper and easier.