This calculator works out the volume of topsoil you need to remove from a rectangular area, based on the length, width, and depth of the soil layer. Enter the lawn or garden dimensions and the depth of soil to be excavated, and you’ll get the volume in cubic yards and cubic feet—the two units most commonly used by landscapers and disposal services.
Formula
The calculator uses the standard volume formula for a rectangular prism:
Volume (ft³) = Length (ft) × Width (ft) × Depth (ft)
Since depth is entered in inches, it is first converted to feet by dividing by 12. Then, to convert cubic feet to cubic yards, divide by 27 (because 1 yard = 3 feet, so 1 yd³ = 27 ft³). Combining both conversions into one step gives:
Volume (yd³) = Length (ft) × Width (ft) × Depth (in) / 324
Where:
- Length – the longest side of the area, in feet (ft)
- Width – the shorter side of the area, in feet (ft)
- Depth – how thick the topsoil layer is, in inches (in)
- 324 – the conversion factor: 12 inches per foot × 27 cubic feet per cubic yard
Worked Example
Using the default values from the calculator: a lawn 40 ft long, 25 ft wide, with 3 inches of topsoil to remove.
- Convert depth to feet: 3 in ÷ 12 = 0.25 ft
- Calculate volume in cubic feet: 40 ft × 25 ft × 0.25 ft = 250 ft³
- Convert to cubic yards: 250 ft³ ÷ 27 = 9.26 yd³ (rounded to 2 decimal places)
The calculator gives the same result: 9.26 cubic yards (and 250.0 cubic feet). This is the amount of soil you need to haul away.
Why You Might Need to Remove Topsoil
Topsoil removal is common in several landscaping and construction scenarios:
- Leveling a lawn – removing high spots before installing new sod or seed.
- Building a patio or walkway – excavating the base layer for pavers or concrete.
- Creating a raised bed – digging out existing soil to replace it with a better mix.
- Removing contaminated or poor soil – replacing soil that has weeds, pests, or poor drainage.
- Pool or pond installation – excavating the footprint for an in-ground feature.
In all cases, knowing the volume helps you plan the disposal method, whether you’re hiring a dumpster, renting a trailer, or paying a trucking service by the yard.
How to Read the Results
The primary result is in cubic yards, which is the standard unit for bulk soil removal. Most dumpsters and dump trucks are rated by cubic yards. For example, a typical 10-yard dumpster holds 10 cubic yards of material. The secondary result in cubic feet is useful for smaller projects or when comparing to bagged soil (which is usually sold in cubic feet).
Remember that this is the volume of soil in the ground. Once excavated, the soil will “fluffâ€� and take up more space—typically 10–30% more—due to air pockets. So a 9.26 yd³ hole will yield roughly 10–12 yd³ of loose soil. If you’re ordering a dumpster, it’s wise to account for this expansion.
Common Mistakes and How to Avoid Them
Several errors can throw off your calculation:
- Mixing units – Always use feet for length and width, and inches for depth. If you measure in meters, convert to feet (1 m = 3.28084 ft) before using the calculator.
- Forgetting the 324 factor – Some people use 27 (cubic feet per cubic yard) without converting inches to feet, which gives a result 12 times too large.
- Measuring the wrong dimensions – For irregular areas, divide the space into rectangles, calculate each, and add them together. For triangular sections, use 0.5 × base × height.
- Ignoring compaction – If the soil is heavily compacted, the excavated volume will be larger than the in-ground volume. This matters when estimating disposal costs.
Choosing a Disposal Method
Once you have the volume, you need to decide how to get rid of the soil. Options include:
- Dumpster rental – Good for medium to large projects (3–40 yd³). Check with the rental company on weight limits, as wet soil is heavy (about 2,000–3,000 lb per cubic yard).
- Trailer or pickup truck – Suitable for small amounts (a few cubic yards). Be sure to check the vehicle’s payload capacity and cover the load.
- Haul-away service – A company that brings a truck and removes the soil on the spot. Often the easiest for large jobs, but costs more.
- Reuse on site – If the soil is good quality, you might spread it elsewhere in your yard or use it for a new garden bed, saving disposal fees.
Always call ahead to confirm what the disposal service accepts and whether there are weight or size restrictions.
Safety and Accuracy Notes
Before digging, check for underground utilities (gas, electric, water) by calling your local utility locator service. This is a legal requirement in many areas and prevents dangerous accidents. Also, be aware of soil contamination—if the soil may contain lead, pesticides, or other hazards, have it tested before disposal. For large excavations (more than 4 feet deep), consult a professional engineer to ensure the sides are stable and won’t collapse.
For accuracy, measure the area in multiple places and use the average. If the ground is sloped, the depth should be measured vertically, not along the slope. Use a tape measure or laser level for best results.
Frequently Asked Questions
How many cubic yards are in a ton of topsoil?
It depends on the moisture content and composition. Dry topsoil weighs about 2,000–2,200 lb per cubic yard, while wet topsoil can weigh 2,700–3,000 lb per cubic yard. So a ton (2,000 lb) is roughly 0.7–1.0 cubic yards, but you should check with your supplier for the specific weight.
Can I use this calculator for removing subsoil or fill dirt?
Yes, the volume calculation is the same for any type of soil or aggregate. The formula only depends on the dimensions, not the material. However, the weight and disposal cost will differ.
What if my area is not a perfect rectangle?
Break the area into smaller rectangles, calculate each one separately, and add the volumes together. For curved edges, approximate with rectangles or use a planimeter for irregular shapes.
How much does it cost to remove topsoil?
Costs vary widely by location, access, and disposal fees. Typically, dumpster rental ranges from $300–$600 for a 10-yard bin, while haul-away services might charge $100–$200 per cubic yard. Get quotes from at least three local providers.
Do I need a permit to remove topsoil?
Many municipalities require a permit for excavation over a certain depth (often 12–24 inches) or volume. Check with your local building department before starting. Also, if you live in a homeowners association, there may be rules about large piles of soil.
Limitations of the Formula
This calculator assumes a flat, uniform depth. Real-world excavations often have varying depths, especially on slopes. It also doesn’t account for the bulking factor (the increase in volume when soil is loosened) or the need for a slope angle if you’re digging a trench with sloped sides. For precise engineering work, consult a professional. But for most residential landscaping projects, this simple calculation gives a reliable estimate for planning and budgeting.
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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