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Formula

The calculator above computes the volume of soil, mulch, or other material needed to fill a rectangular area to a given depth. The formula is:

Volume (yd³) = Length (ft) × Width (ft) × Depth (in) ÷ 324

Volume (ft³) = Length (ft) × Width (ft) × Depth (in) ÷ 12

Variables:

• Length (l) – the length of the area in feet.
• Width (w) – the width of the area in feet.
• Depth (d) – the depth of the material in inches.

The divisor 324 converts cubic feet to cubic yards (1 yd³ = 27 ft³; 27 × 12 = 324). The divisor 12 converts inches to feet.

Worked Example

Using the default values from the calculator: length = 40 ft, width = 25 ft, depth = 3 in.

First, compute the volume in cubic feet:

40 × 25 × 3 ÷ 12 = 3000 ÷ 12 = 250 ft³

Then convert to cubic yards:

250 ÷ 27 = 9.26 yd³ (rounded to two decimals)

The calculator gives the same result: 9.26 yd³ and 250 ft³.

When to Use This Calculator

Use this calculator when you need to order soil, mulch, gravel, or concrete for a rectangular garden bed, lawn area, or construction project. It saves you from over-ordering (wasting money) or under-ordering (running short mid-project). The result in cubic yards is what most bulk suppliers use for pricing, while cubic feet is useful for bagged products (e.g., a 2 ft³ bag of mulch).

How to Read the Result

The first output (cubic yards) is the headline answer. If you are buying bulk material, this is the number you give to the supplier. The second output (cubic feet) is helpful when buying bagged material. For example, if you need 250 ft³ and each bag contains 2 ft³, you would need 125 bags (250 ÷ 2).

Common Mistakes

• Unit mix-ups: Mixing feet and inches without converting. Always convert depth to feet or use the formula as given.
• Forgetting the 27: There are 27 cubic feet in a cubic yard, not 3. The divisor 324 accounts for this.
• Rounding too early: Round only at the final step to avoid small errors that become large when ordering bulk.
• Ignoring compaction: Some materials (like soil) settle after being spread. Ordering 5–10% extra is common practice, but check with your supplier.

Limits of the Formula

This formula assumes a perfectly rectangular area with uniform depth. Real-world areas may be irregular; in that case, break the area into rectangles and sum the volumes. The formula also does not account for slopes, waste, or compaction. For large projects, it is wise to consult a landscape professional.

Frequently Asked Questions

How many bags of mulch do I need? Divide the cubic feet result by the bag size (e.g., 250 ft³ ÷ 2 ft³ per bag = 125 bags). Always round up to the nearest whole bag.

What if my area is not a rectangle? Divide it into smaller rectangles, calculate each volume, and add them together. For curved shapes, approximate with rectangles or use a more advanced method.

Should I order extra material? It is common to order 5–10% extra to account for compaction, settling, and spillage. However, this varies by material and supplier, so confirm with them.

What is the difference between cubic yards and cubic feet? A cubic yard is 27 cubic feet (3 ft × 3 ft × 3 ft). The calculator gives both so you can compare bulk and bagged pricing.

Can I use this for concrete? Yes, the volume calculation is the same. However, concrete is usually ordered by the cubic yard, and you should consult a supplier for specific requirements like waste factors.

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in l | Lawn length | ft | 40 | 0 | 100000
in w | Lawn width | ft | 25 | 0 | 100000
in d | Depth | in | 3 | 0 | 120
out yd | Volume | yd³ | l * w * d / 324 | 2
out ft3 | Volume | ft³ | l * w * d / 12 | 1