Cubic Yard Calculator
Cubic Yard Calculator
Calculate volume in cubic yards for any shape with material weight estimates
Enter Your Dimensions
Enter area dimensions and depth to calculate the volume in cubic yards and other units.
Calculate volume in cubic yards for any shape with material weight estimates
Ordering the right amount of material for a landscaping or construction project starts with an accurate volume calculation. Whether you need topsoil for a garden bed, gravel for a driveway, mulch for landscaping, concrete for a patio, or sand for a sandbox, the fundamental question is the same: how many cubic yards do I need? Our free Cubic Yard Calculator answers that question instantly for four different area shapes — rectangle, circle, triangle, and trapezoid — with automatic unit conversion and optional material weight estimates. A cubic yard is a unit of volume equal to a cube measuring 3 feet on each side, which equals 27 cubic feet. It is the standard unit used by landscape suppliers, concrete companies, quarries, and trucking firms to sell and deliver bulk materials. Understanding how to convert your project dimensions into cubic yards prevents the two most common ordering mistakes: underestimating (which means a second delivery and additional fees) and overestimating (which means wasted material and money). The calculator supports five input units — inches, feet, yards, centimeters, and meters — so you can work in whatever measurement system is most convenient. Depth can be entered separately in inches or feet, since many projects specify depth in inches (e.g., 4 inches of gravel, 6 inches of topsoil) while area dimensions are in feet or yards. For weight-sensitive projects, select from seven common bulk materials: topsoil, gravel, sand, mulch, concrete, asphalt, and crushed stone. Each material has a standard density factor that converts volume into estimated weight in tons and pounds — critical information for planning truck deliveries, assessing foundation loading, and budgeting transportation costs. The built-in delivery estimator calculates how many truckloads your project requires based on standard 10-cubic-yard and 20-cubic-yard dump truck capacities. Volume comparison bar charts let you see your total in cubic yards, cubic feet, and cubic meters at a glance. All results can be exported to CSV or printed for contractor quotes and material orders.
Understanding Cubic Yard Calculations
What Is a Cubic Yard?
A cubic yard is a unit of volume in the US customary system equal to 27 cubic feet (3 ft × 3 ft × 3 ft), or approximately 0.7646 cubic meters. It is the primary unit used in the United States for measuring and selling bulk materials like soil, gravel, sand, mulch, concrete, and aggregate. When a landscape supply company quotes a price 'per yard,' they mean per cubic yard. Visualizing a cubic yard helps with estimation — it is roughly the volume of a standard washing machine. One cubic yard of topsoil weighs approximately 1.1 tons (2,200 lbs), while one cubic yard of gravel weighs about 1.4 tons (2,800 lbs). Understanding this unit is essential for any outdoor construction or landscaping project.
How Is Cubic Yardage Calculated?
The basic calculation converts area and depth into volume. For a rectangle: Volume = Length × Width × Depth (all in feet), then divide by 27 to convert cubic feet to cubic yards. The quick formula is: Cubic Yards = (L ft × W ft × D in) ÷ 324. For a circle: Volume = π × r² × Depth, where r is the radius in feet. For a triangle: Volume = 0.5 × Base × Height × Depth. For a trapezoid: Volume = 0.5 × (Side A + Side B) × Height × Depth. In each case, all dimensions must be in the same unit (feet) before multiplication, and the result in cubic feet is divided by 27 to get cubic yards. Weight is estimated by multiplying cubic yards by the material's density in pounds per cubic yard.
Why Does Accurate Volume Matter?
Material cost is directly proportional to volume ordered, and most bulk materials are sold with delivery charges that apply per truckload regardless of whether the truck is full. Underestimating by even half a cubic yard on a small project might require a second delivery ($50-$150 fee) for a small amount of material. Overestimating by several cubic yards means paying for material you do not need and potentially having it dumped on your property with no easy way to return it. For concrete especially, accuracy is critical — you cannot easily add or subtract once the pour begins. Using precise measurements and the correct shape formula eliminates guesswork and gives you a defensible number to present to suppliers and contractors.
Limitations and Practical Notes
This calculator assumes uniform depth across the entire area. Sloped terrain, irregular surfaces, or areas with varying depth should be divided into sections with different depth values, calculated separately, and added together. Weight estimates use average material densities and actual weights vary depending on moisture content, compaction level, and specific material composition. Wet topsoil can weigh 30-50% more than dry topsoil. Truck load capacities are based on volume, but weight limits may be more restrictive — a full 20-yard load of wet sand or concrete may exceed the truck's weight rating. Always confirm material densities and truck specifications with your local supplier. For irregular shapes not covered by the four options, break the area into simpler shapes, calculate each one, and sum the results.
Cubic Yard Calculation Formulas
Rectangle Volume
Cubic Yards = L(ft) × W(ft) × D(ft) / 27
Multiply length, width, and depth in feet, then divide by 27 (cubic feet per cubic yard). For depth in inches, use the shortcut: L × W × D(in) / 324.
Circle Volume
Cubic Yards = π × (Diameter/2)² × D(ft) / 27
For circular areas such as tree rings, fire pits, or round patios. Calculate the circle area using pi times radius squared, multiply by depth, then divide by 27.
Triangle Volume
Cubic Yards = 0.5 × Base(ft) × Height(ft) × D(ft) / 27
For triangular sections and wedge-shaped areas. Half the base times the height gives the triangle area, then multiply by depth and divide by 27.
Trapezoid Volume
Cubic Yards = 0.5 × (A + B)(ft) × H(ft) × D(ft) / 27
For areas with two parallel sides of different lengths (A and B). Average the parallel sides, multiply by height and depth, then divide by 27.
Cubic Yard Reference Tables
Common Material Weights per Cubic Yard
Average bulk densities for materials commonly ordered by the cubic yard. Actual weights vary with moisture and compaction.
| Material | Weight per cu yd (lbs) | Short Tons per cu yd | Notes |
|---|---|---|---|
| Topsoil (dry) | 2,200 | 1.10 | Wet topsoil can weigh 2,700–3,000 lbs |
| Gravel | 2,800 | 1.40 | Angular crushed gravel; round gravel slightly less |
| Sand (dry) | 2,700 | 1.35 | Wet sand can weigh 3,100+ lbs per cu yd |
| Mulch (wood chip) | 400–800 | 0.20–0.40 | Varies widely by species and moisture |
| Concrete (wet) | 3,900 | 1.95 | Fresh concrete ready for pouring |
| Asphalt (hot mix) | 3,600 | 1.80 | Compacted density is higher |
| Crushed Stone | 2,700 | 1.35 | General-purpose base aggregate |
Quick Reference: Volume for Standard Areas and Depths
Pre-calculated cubic yards for common rectangular area sizes at typical depths.
| Area (sq ft) | 2" Depth | 4" Depth | 6" Depth | 12" Depth |
|---|---|---|---|---|
| 100 | 0.62 cu yd | 1.23 cu yd | 1.85 cu yd | 3.70 cu yd |
| 250 | 1.54 cu yd | 3.09 cu yd | 4.63 cu yd | 9.26 cu yd |
| 500 | 3.09 cu yd | 6.17 cu yd | 9.26 cu yd | 18.52 cu yd |
| 1,000 | 6.17 cu yd | 12.35 cu yd | 18.52 cu yd | 37.04 cu yd |
| 2,000 | 12.35 cu yd | 24.69 cu yd | 37.04 cu yd | 74.07 cu yd |
Worked Examples
Rectangular Area: 12×20 ft at 6" Depth
A rectangular patio base measures 12 feet by 20 feet and needs 6 inches of crushed stone (2,700 lbs per cubic yard).
Convert depth to feet: 6 in ÷ 12 = 0.5 ft
Volume in cubic feet: 12 × 20 × 0.5 = 120 cu ft
Convert to cubic yards: 120 ÷ 27 = 4.44 cu yd
Weight estimate: 4.44 × 2,700 = 11,988 lbs ÷ 2,000 = 5.99 tons
Delivery: 4.44 cu yd fits in one small dump truck (10 cu yd capacity)
Order 4.5 cubic yards (approximately 6 tons) of crushed stone. One small dump truck load is sufficient.
Circular Area: 10 ft Diameter at 4" Depth
A circular tree ring has a 10-foot diameter and requires 4 inches of decorative mulch (600 lbs per cubic yard).
Radius: 10 ÷ 2 = 5 ft
Circle area: π × 5² = 78.54 sq ft
Convert depth to feet: 4 in ÷ 12 = 0.333 ft
Volume: 78.54 × 0.333 = 26.16 cu ft
Convert to cubic yards: 26.16 ÷ 27 = 0.97 cu yd
Weight: 0.97 × 600 = 582 lbs
Order 1 cubic yard of mulch (approximately 580 lbs). This can be transported in a standard pickup truck bed.
Trapezoidal Driveway Section
A driveway apron is trapezoidal: 10 ft wide at the street, 20 ft wide at the garage, 15 ft deep, and needs 4 inches of gravel base (2,800 lbs/cu yd).
Trapezoid area: 0.5 × (10 + 20) × 15 = 225 sq ft
Convert depth: 4 in ÷ 12 = 0.333 ft
Volume: 225 × 0.333 = 74.93 cu ft
Convert to cubic yards: 74.93 ÷ 27 = 2.78 cu yd
Weight: 2.78 × 2,800 = 7,784 lbs ≈ 3.89 tons
Order 3 cubic yards (approximately 3.9 tons) of gravel for the driveway apron base.
How to Use the Cubic Yard Calculator
Select Your Shape
Choose the shape that best matches your project area: Rectangle for rectangular or square areas like garden beds and driveways, Circle for round areas like tree rings and fire pits, Triangle for triangular sections, or Trapezoid for areas with two parallel sides of different lengths.
Enter Dimensions
Select your preferred measurement unit (inches, feet, yards, centimeters, or meters) and enter the dimensions for your chosen shape. Then enter the depth — most landscaping projects use depth in inches (e.g., 4 inches of gravel, 6 inches of topsoil). You can set the depth unit independently from the area dimensions.
Select a Material (Optional)
If you need weight estimates for delivery planning, select the material type from the dropdown. The calculator uses standard density values for topsoil, gravel, sand, mulch, concrete, asphalt, and crushed stone to estimate the total weight in tons and pounds. Leave set to 'None' if you only need volume.
Review Results and Export
The calculator displays your volume in cubic yards (the standard ordering unit), plus cubic feet, cubic meters, and cubic inches. If a material is selected, weight estimates and truck load counts are shown. Click 'Export CSV' to download results for contractor quotes, or 'Print' for a hard copy to bring to the landscape supply yard.
Frequently Asked Questions
How many cubic feet are in a cubic yard?
There are exactly 27 cubic feet in one cubic yard. This comes from the fact that a yard equals 3 feet, so a cubic yard is 3 ft × 3 ft × 3 ft = 27 cubic feet. To convert cubic feet to cubic yards, divide by 27. To convert cubic yards to cubic feet, multiply by 27. This conversion is the most common one needed when working with bulk materials, since project dimensions are usually measured in feet and inches, but material is sold by the cubic yard. For metric users, one cubic yard equals approximately 0.7646 cubic meters.
How much does a cubic yard of soil weigh?
A cubic yard of dry topsoil weighs approximately 2,200 pounds (1.1 short tons), but this varies significantly with moisture content and soil composition. Wet topsoil can weigh 2,700 to 3,000 pounds per cubic yard. Garden soil blended with compost is lighter at around 1,800 to 2,000 pounds per cubic yard. Sand is heavier at approximately 2,700 pounds per cubic yard, gravel at 2,800 pounds, and concrete at approximately 3,900 pounds per cubic yard. Mulch is the lightest common landscape material at roughly 400 to 800 pounds per cubic yard depending on type and moisture. Always confirm weights with your supplier, especially for delivery planning.
How do I calculate cubic yards for an irregularly shaped area?
For irregular shapes, divide the area into simpler geometric shapes (rectangles, triangles, circles, or trapezoids), calculate the cubic yardage for each section separately using this calculator, then add the results together. For example, an L-shaped driveway can be split into two rectangles. A kidney-shaped garden bed can be approximated as two overlapping circles. A curved path can be treated as a series of trapezoids. For complex shapes, you can also estimate the total square footage of the area using graph paper or a measuring wheel, then use the Area mode in our Soil Calculator to convert square footage plus depth into cubic yards.
How many trucks do I need for my delivery?
Standard dump trucks come in two common sizes: a small single-axle dump truck carries approximately 10 cubic yards, while a large tandem-axle dump truck carries approximately 20 cubic yards. The calculator shows both estimates. However, weight limits can reduce these capacities — a heavy material like wet concrete at 3,900 lbs per cubic yard means a 20-yard load would weigh 39 tons, which exceeds most truck weight limits. Your supplier will adjust load sizes based on material density. For heavy materials, expect to receive partial loads. For light materials like mulch, the truck may be volume-limited rather than weight-limited. Always confirm delivery capacity and fees with your supplier before ordering.
What depth should I use for common projects?
Common depth recommendations are: 2-3 inches for mulch around trees and garden beds, 3-4 inches for topsoil topdressing on lawns, 4-6 inches for gravel driveways and pathways, 6-8 inches for topsoil in new garden beds, 10-12 inches for raised bed fill, 4 inches for a standard concrete patio or walkway, and 6-8 inches for a concrete driveway. These are minimum recommendations — local conditions like soil drainage, traffic load, and climate may require greater depths. For concrete projects especially, consult local building codes and a structural engineer for load-bearing applications. Using the correct depth is as important as measuring the area accurately for getting the right volume.
Should I order extra material beyond the calculated amount?
Yes, ordering 5-10% extra is standard practice for most bulk material projects. Materials settle and compact after spreading and watering — topsoil typically settles 10-15%, gravel 5-10%. Some material is also lost during spreading due to uneven terrain, spillage, and compaction into the existing ground surface. For concrete, ordering 5-10% extra is critical because you cannot easily get a small additional delivery once the pour has started, and running short means a cold joint that weakens the structure. The one exception is when the area is very precisely graded and contained (like a raised bed with solid walls), where minimal overage is needed. When in doubt, a little extra is always cheaper than a second delivery.
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