Square Feet to Cubic Yards Calculator

This square feet to cubic yards calculator needs one extra number, the depth, because area alone cannot be turned into volume. Enter both and read the yards to order.

Quick answer

You cannot convert square feet to cubic yards directly, because one is area and the other is volume. Add a depth: multiply square feet by depth in feet, then divide by 27. For 400 sq ft at 4 inches deep that is 133.3 cubic feet, or 4.94 cubic yards, and 5.43 yards with 10% extra.

Your numbers

sq ft
in
Mulch beds: 2–3 in. Topsoil: 4–6 in. Gravel paths and bases: 3–6 in.
%

Result

How to convert square feet to cubic yards

Square feet measure area; cubic yards measure volume. There is no fixed conversion between them, because the result depends on how deep the material is. Once you pick a depth, the conversion is simple: convert the depth to feet, multiply by the area to get cubic feet, then divide by 27 (there are 27 cubic feet in a cubic yard).

400 sq ft4 in400 × (4 ÷ 12) = 133.3 cu ft133.3 ÷ 27 = 4.94 cubic yards
Volume needs a third dimension: area × depth, then ÷ 27.
cubic feet = square feet × (depth in inches ÷ 12)
cubic yards = cubic feet ÷ 27

Example: 400 sq ft at 4 inches deep is 400 × 0.3333 = 133.3 cubic feet, which is 4.94 cubic yards. Add 10% for waste and settling and you order 5.43 cubic yards, about 7.6 tons of gravel at 1.4 tons per yard.

Coverage of one cubic yard at common depths

DepthSquare feet covered by 1 cubic yard
1 in324 sq ft
2 in162 sq ft
3 in108 sq ft
4 in81 sq ft
6 in54 sq ft
8 in41 sq ft
12 in27 sq ft

The rule of thumb: 324 ÷ depth in inches gives the square feet that one cubic yard covers. At 3 inches, one yard covers 108 sq ft; at 2 inches, 162 sq ft.

Quantities for common areas at 4 inches deep

AreaCubic yards
100 sq ft1.23
200 sq ft2.47
300 sq ft3.70
500 sq ft6.17
1000 sq ft12.35

Common mistakes

For other shapes use the cubic yard calculator; to convert yards to weight, use the yards to tons calculator; for a mulch bed see the mulch calculator.

Frequently asked questions

How do I convert square feet to cubic yards?

Multiply the square feet by the depth in feet (inches ÷ 12) to get cubic feet, then divide by 27.

How many square feet does a cubic yard cover?

Divide 324 by the depth in inches. At 3 inches one cubic yard covers 108 sq ft; at 4 inches, 81 sq ft.

Why can't I convert square feet to cubic yards without a depth?

Square feet measure a flat area and cubic yards measure a volume. The depth is the missing dimension.

How many cubic yards for 1,000 square feet?

At 4 inches deep, about 12.35 cubic yards. At 2 inches, about 6.17.

Should I add extra for waste?

Usually yes: 5–15% covers settling, uneven ground and spills.

Sources and further reading

These references support the general guidance on this page. The calculator applies the standard formulas shown above to the numbers you enter.

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. Estimates only. Always confirm quantities with your supplier or a qualified contractor before ordering, and add extra for waste and site conditions.