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Formula
The calculator above works out the volume of soil, compost, or mulch you need to cover a rectangular lawn or garden bed 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
Where:
- Length is the longer side of the area, in feet.
- Width is the shorter side of the area, in feet.
- Depth is how deep you want the material, in inches.
- 324 converts cubic feet to cubic yards (27 ft³ per yd³ × 12 in per ft).
- 12 converts inches to feet.
Worked Example
Using the default values: length = 40 ft, width = 25 ft, depth = 3 in.
- Calculate the area: 40 ft × 25 ft = 1,000 ft².
- Convert depth to feet: 3 in ÷ 12 = 0.25 ft.
- Volume in cubic feet: 1,000 ft² × 0.25 ft = 250 ft³.
- Convert to cubic yards: 250 ft³ ÷ 27 = 9.26 yd³.
The calculator gives 9.26 yd³ for the first output, matching the manual calculation.
When to Use This Calculator
Use this calculator when you are buying topsoil, garden compost, mulch, or fill dirt for a rectangular area. It is also handy for estimating how much sand or gravel you need for a small patio base. The result tells you the exact volume to order, so you don’t overbuy or run short.
How to Read the Result
The first number is the volume in cubic yards, which is how bulk materials are sold in the US. The second number is the same volume in cubic feet, useful for bagged products (often sold in 1.5 or 2 ft³ bags). If you are ordering from a landscape supplier, they usually deliver in whole or half yards, so round up to the nearest 0.5 yd³.
Common Mistakes
- Mixing units: Entering length in meters but width in feet will give a wrong answer. Keep all inputs in feet and inches.
- Forgetting depth conversion: Depth must be in inches because the formula uses inches. If you measure depth in feet, multiply by 12 first.
- Not accounting for compaction: Soil and sand settle after spreading. For a 3-inch final depth, you may need 10–15% more material, especially for fill.
Limits of the Formula
This formula assumes a flat, rectangular area with uniform depth. If your lawn has slopes, curves, or varying depth, the estimate will be off. For irregular shapes, divide the area into rectangles and calculate each separately, then add the volumes. Also, the formula gives the volume before compaction; actual delivered material may settle.
Frequently Asked Questions
How many bags of mulch do I need?
Divide the cubic feet result by the bag size (usually 2 ft³). For the example above, 250 ft³ ÷ 2 = 125 bags. Always round up to the next whole bag.
Can I use this for a circular garden bed?
No, this calculator is for rectangles. For a circle, use the formula π × radius² × depth, then convert to cubic yards (divide by 27).
Should I order extra material?
Yes, order about 10% more than the calculated volume to account for settling, spillage, and uneven ground. For example, if you need 9.26 yd³, order 10 yd³.
What depth do I need for topsoil?
For a new lawn, 4–6 inches of topsoil is typical. For garden beds, 6–12 inches. This calculator works for any depth you enter.
How do I convert to metric?
Convert feet to meters (1 ft = 0.3048 m) and inches to centimeters (1 in = 2.54 cm), then calculate volume in cubic meters (m³). One cubic yard equals approximately 0.765 m³.
Related
Formula used
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
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
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