Earthwork Cut Fill Calculator
Free Earthwork cut fill Calculator for civil engineering projects. Enter dimensions to get material lists and cost estimates.
Formula
Volume (cu yd) = (Length x Width x Depth) / 27 | Adjusted Volume = Bank Volume x Swell Factor
Calculate the bank volume by multiplying the site area by the depth difference between existing and proposed elevations, then divide by 27 to convert cubic feet to cubic yards. For cut operations, multiply by the swell factor to get the loose volume for hauling. For fill operations, divide by the swell factor to determine how much loose material is needed to achieve the compacted volume.
Worked Examples
Example 1: Residential Lot Grading
Problem: A 200 ft by 100 ft lot needs to be graded from an existing elevation of 105 ft down to 100 ft. The soil swell factor is 1.25.
Solution: Depth of cut = 105 - 100 = 5 ft\nArea = 200 x 100 = 20,000 sq ft\nBank volume = 20,000 x 5 / 27 = 3,703.7 cu yd\nSwelled volume = 3,703.7 x 1.25 = 4,629.6 cu yd\nTruck loads = 4,629.6 / 14 = 331 loads
Result: 3,703.7 cu yd bank volume, 4,629.6 cu yd loose volume, 331 truck loads
Example 2: Parking Lot Fill
Problem: A 150 ft by 80 ft parking area needs 3 ft of fill material. Swell factor is 1.30.
Solution: Area = 150 x 80 = 12,000 sq ft\nBank volume = 12,000 x 3 / 27 = 1,333.3 cu yd\nLoose volume needed = 1,333.3 / 1.30 = 1,025.6 cu yd\nTruck loads = 1,025.6 / 14 = 74 loads
Result: 1,333.3 cu yd compacted, need 1,025.6 cu yd loose fill, 74 truck loads
Frequently Asked Questions
What is the difference between cut and fill in earthwork?
Cut refers to the removal of soil or rock from the ground to lower the elevation to a desired grade. Fill is the opposite process where material is added to raise the elevation. In most grading projects, engineers try to balance cut and fill volumes so that material excavated from one area can be used to fill another, minimizing the need to import or export soil which significantly reduces project costs.
What is a swell factor and why does it matter for earthwork calculations?
The swell factor accounts for the increase in volume that occurs when soil is excavated from its natural compacted state. Undisturbed soil expands when dug up because air is introduced between particles. Common swell factors range from 1.20 for sand to 1.50 for heavy clay. This means one cubic yard of clay in the ground becomes approximately 1.50 cubic yards once excavated, directly affecting the number of truck loads needed for hauling.
How do I estimate the number of truck loads needed for earthwork?
Standard dump trucks carry approximately 10 to 14 cubic yards of loose soil per load. To estimate truck loads, divide the adjusted (swelled) volume of cut material by the truck capacity. For example, 500 cubic yards of swelled material divided by 14 cubic yards per truck equals approximately 36 truck loads. Always round up and add a contingency of 5 to 10 percent for variations in field conditions.
How accurate are simple cut and fill volume calculations?
Simple rectangular cut-fill calculations provide a rough estimate suitable for preliminary budgeting and feasibility studies. For precise earthwork quantities, engineers use the average end area method, the prismoidal formula, or grid-based methods with survey data at multiple points across the site. Modern projects often use GPS-equipped equipment and 3D modeling software to compute volumes accurate to within 2 to 5 percent of actual quantities.
How accurate are the results from Earthwork Cut Fill Calculator?
All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.
Can I use Earthwork Cut Fill Calculator on a mobile device?
Yes. All calculators on NovaCalculator are fully responsive and work on smartphones, tablets, and desktops. The layout adapts automatically to your screen size.