Cubic Yards Calculator

🏗️ Contractor Tool

Cubic Yards
Calculator

Calculate cubic yards instantly for concrete, gravel, mulch, topsoil, and excavation — with 3D volume visualization, 8 material estimators, truck load count, cost calculator, and 5-unit input support.

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🚛 Material Estimator
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Common projects
Volume
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📐 3D volume
📐 Calculation
🏗️ Project insight:
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ℹ️ Material quantities are estimates based on nominal dimensions. Actual requirements vary due to compaction (5–15%), waste, sub-grade irregularities, and slope. Order 5–10% extra. Material densities are approximate averages; actual density varies by source, moisture content, and gradation.

Cubic Yards Calculator: Estimate Materials Instantly

Every construction and landscaping project starts with the same question: how much material do I need? Concrete, gravel, mulch, topsoil, fill dirt, sand, compost, crushed stone — they’re all ordered, delivered, and priced by the cubic yard. This calculator converts your project dimensions (length × width × depth) into cubic yards, then estimates the weight in tons, the number of dump truck loads, and the total cost. Enter dimensions in feet, inches, yards, centimeters, or meters — the calculator converts everything to cubic yards automatically, with a 3D volume visualization that updates as you adjust dimensions.

🏗️ The formula:
Cubic Yards = (Length × Width × Depth) ÷ 27 (when dimensions are in feet)
Why 27? Because 1 yard = 3 feet, so 1 cubic yard = 3 × 3 × 3 = 27 cubic feet.
Example: 20 ft × 10 ft × 0.5 ft = 100 ft³ ÷ 27 = 3.70 yd³

Material Density and Weight Reference

MaterialTons/yd³10 yd³ weighsTypical cost/yd³
🏗️ Concrete2.0020 tons$100–$150
🪨 Gravel1.4014 tons$15–$75
⏳ Sand1.3513.5 tons$20–$50
🌱 Topsoil1.1011 tons$15–$50
🌿 Mulch0.404 tons$20–$45
🏔️ Fill dirt1.1511.5 tons$5–$25
🧑‍🌾 Compost0.555.5 tons$25–$60
🪨 Crushed stone1.3013 tons$25–$75

Common Project Applications

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Concrete slabs

Patios, driveways, sidewalks, garage floors. Typical depth: 4 inches (residential) to 6+ inches (heavy traffic). A 20×10 ft patio at 4″ deep = 2.47 yd³.

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Gravel driveways

Base layers, drainage beds, parking areas. Typical depth: 4–6 inches. A 50×12 ft driveway at 4″ = 7.41 yd³ of gravel.

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Mulch beds

Garden beds, tree rings, landscape borders. Typical depth: 2–4 inches. A 30×20 ft garden at 3″ = 5.56 yd³ of mulch.

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Topsoil & lawn

New lawns, raised beds, grading. Typical depth: 4–6 inches. A 40×25 ft lawn area at 6″ = 18.52 yd³ of topsoil.

Concrete Calculations

Concrete is the most common material ordered by the cubic yard. A standard ready-mix concrete truck carries 8–10 cubic yards. A 4-inch (0.33 ft) thick residential patio measuring 20 × 15 feet: 20 × 15 × 0.333 = 100 ft³ ÷ 27 = 3.70 yd³. At $130/yd³ delivered: approximately $481 for material. With 10% overage for waste and spillage: order 4.1 yd³. The calculator handles this automatically — enter dimensions, select “Concrete” as the material, and enter your local cost per yard for the complete estimate.

For concrete footings (continuous or spot footings), calculate each footing section separately and sum the cubic yards. A continuous footing 50 ft long × 2 ft wide × 1 ft deep: 100 ft³ ÷ 27 = 3.70 yd³. Four spot footings each 3 × 3 × 2 ft: 4 × 18 = 72 ft³ ÷ 27 = 2.67 yd³. Total foundation concrete: 6.37 yd³ — order 7 yd³ to account for form irregularities and waste.

Gravel and Aggregate Calculations

Gravel is used for driveways, drainage, road base, and french drains. A gravel driveway 60 ft long × 12 ft wide × 6 inches deep: 60 × 12 × 0.5 = 360 ft³ ÷ 27 = 13.33 yd³. At 1.4 tons/yd³: approximately 18.7 tons. At $40/yd³ delivered: $533. The calculator shows all three figures simultaneously — cubic yards for ordering, tons for weight-limit verification (truck weight limits, bridge load restrictions), and cost for budgeting.

Mulch and Landscaping Materials

Mulch is typically applied 2–4 inches deep around trees, shrubs, and garden beds. A 3-inch layer is the most common recommendation: thick enough to suppress weeds and retain moisture, thin enough to allow water penetration. A flower bed 40 × 8 feet at 3 inches: 40 × 8 × 0.25 = 80 ft³ ÷ 27 = 2.96 yd³. One cubic yard of mulch covers approximately 108 square feet at 3 inches deep (a useful rule of thumb: 1 yd³ ≈ 100 sq ft at 3″). The calculator computes exact coverage from your specific dimensions.

Topsoil and Fill Dirt

Topsoil for new lawns requires 4–6 inches of depth for grass establishment. A new lawn area 50 × 30 feet at 4 inches: 50 × 30 × 0.333 = 500 ft³ ÷ 27 = 18.52 yd³. At 1.1 tons/yd³: approximately 20.4 tons — requiring 2 standard dump truck loads (10 yd³ each). Fill dirt for grading and backfill is typically cheaper ($5–$25/yd³ vs $15–$50/yd³ for screened topsoil) because it doesn’t require screening or organic content. The calculator estimates both volume and weight for either material.

Excavation Volume

Excavation contractors calculate the volume of earth to be removed in cubic yards. A basement excavation 30 × 24 × 8 feet: 5,760 ft³ ÷ 27 = 213.33 yd³. At approximately 1.4 tons/yd³ (varies by soil type): 298.7 tons of material to haul away. With a 10 yd³ dump truck making 22 loads — a significant logistical operation. The calculator’s truck load estimator helps excavation contractors plan trucking schedules: enter the excavation dimensions, set truck capacity, and see the number of loads required.

Truck Load Estimation

Standard dump truck capacities: small dump truck 5–6 yd³, standard dump truck 10–12 yd³, tandem-axle dump truck 14–18 yd³, semi-trailer end dump 20–25 yd³. The calculator divides total cubic yards by your specified truck capacity (default 10 yd³) and rounds up to whole loads. Note that weight limits may restrict a truck to less than its volumetric capacity — a 10 yd³ truck loaded with concrete (20 tons) exceeds most road weight limits (typically 26–40 tons gross vehicle weight depending on axle configuration).

Common Cubic Yards Calculation Mistakes

  • Forgetting to convert depth from inches to feet. A 4-inch depth is 0.333 feet, not 4 feet. Using 4 instead of 0.333 produces a result 12 times too large. The calculator handles unit conversion automatically when you select “Inches.”
  • Using the wrong divisor. Cubic yards = cubic feet ÷ 27 (not ÷ 3). 27 is the correct factor because 1 yd = 3 ft, so 1 yd³ = 3³ = 27 ft³.
  • Not accounting for compaction. Loose materials (gravel, soil, fill) compact 5–15% when placed and compacted. Order 10% extra to compensate.
  • Measuring exterior dimensions instead of interior. For fill inside a raised bed or form, measure the inside dimensions — the walls displace volume.

Related Construction Calculators

Frequently Asked Questions

How do I calculate cubic yards?
Multiply Length × Width × Depth (all in feet) to get cubic feet, then divide by 27. Formula: Cubic Yards = (L × W × D) ÷ 27. Example: a 20 ft × 10 ft area at 6 inches (0.5 ft) deep: 20 × 10 × 0.5 = 100 ft³ ÷ 27 = 3.70 cubic yards. If dimensions are in inches, divide each by 12 first to convert to feet.
How many cubic feet are in a cubic yard?
27 cubic feet = 1 cubic yard. This is because 1 yard = 3 feet, and volume is three-dimensional: 3 × 3 × 3 = 27. To convert cubic feet to cubic yards, divide by 27. To convert cubic yards to cubic feet, multiply by 27.
How much concrete do I need?
Calculate: Length (ft) × Width (ft) × Thickness (ft) ÷ 27 = cubic yards. Standard residential slab thickness is 4 inches (0.333 ft). A 12 × 12 ft slab at 4″: 12 × 12 × 0.333 = 48 ft³ ÷ 27 = 1.78 yd³. Order 10% extra (1.96 yd³, round to 2.0) for waste. A standard concrete truck delivers 8–10 yd³ per load.
How much gravel do I need?
Same formula as concrete: L × W × D ÷ 27. For driveways, use 4–6 inches depth. A 40 × 10 ft driveway at 4″ (0.333 ft): 40 × 10 × 0.333 = 133 ft³ ÷ 27 = 4.94 yd³. At 1.4 tons/yd³: approximately 6.9 tons. Order 10% extra for compaction: 5.4 yd³.
How much mulch should I order?
Standard mulch depth is 2–4 inches (3 inches is most common). A 20 × 15 ft bed at 3″ (0.25 ft): 20 × 15 × 0.25 = 75 ft³ ÷ 27 = 2.78 yd³. Quick rule: 1 cubic yard of mulch covers approximately 100 square feet at 3 inches deep. Mulch weighs only 0.3–0.5 tons per cubic yard, so volume is the primary ordering unit.
Why divide by 27?
Because there are 27 cubic feet in one cubic yard. A cubic yard is a cube measuring 3 feet on each side: 3 × 3 × 3 = 27 cubic feet. This conversion factor is universal — it works for every material and every project. When you calculate volume in cubic feet (L × W × D), dividing by 27 converts the result to the cubic yards that suppliers use for ordering.
How many yards fit in a dump truck?
Small dump trucks: 5–6 yd³. Standard single-axle dump trucks: 10–12 yd³. Tandem-axle dump trucks: 14–18 yd³. Semi-trailer end dumps: 20–25 yd³. Note: weight limits may reduce capacity for heavy materials. A 10 yd³ truck of gravel (14 tons) is usually within road limits, but 10 yd³ of wet concrete (20 tons) may approach or exceed limits depending on the truck’s gross vehicle weight rating.
Is this calculator accurate?
The volume calculation is mathematically exact for rectangular areas. Real projects differ from the calculated volume due to: irregular sub-grade (uneven ground adds or subtracts volume), compaction (loose materials compact 5–15% when placed), waste and spillage (1–5%), and slope (sloped areas require more material on the downhill side). Order 5–10% extra to account for these real-world factors. The calculator provides the base mathematical volume; add your site-specific overage.
Can I calculate metric dimensions?
Yes — select “Meters” or “Centimeters” from the unit dropdown. The calculator automatically converts metric inputs to feet, computes the volume in cubic feet, and divides by 27 for cubic yards. It also shows the result in cubic meters for reference. A 5m × 3m × 0.15m area: 2.25 m³ = 2.94 yd³.
Can I estimate project cost?
Yes — enter a cost per cubic yard in the “Cost per yd³” field. The calculator multiplies your cubic yards by the unit cost. Typical costs: concrete $100–$150/yd³ delivered, gravel $15–$75/yd³, mulch $20–$45/yd³, topsoil $15–$50/yd³. Prices vary significantly by location, material quality, and delivery distance. The cost shown is for material only — it doesn’t include labour, equipment, or site preparation.
How do contractors estimate materials?
Professional contractors use the same L × W × D ÷ 27 formula, then add overage: 5–10% for most materials, 10–15% for concrete (because short-ordering a pour is extremely costly — you cannot easily add more once the truck leaves). Experienced contractors also account for sub-grade irregularities (add 5–10% for rough ground), compaction loss (add 10–15% for gravel and fill), and waste (add 3–5% for spillage and cleanup). The calculator provides the mathematical base; the contractor adds site-specific adjustments.

The 3D Volume Visualization

The calculator renders an isometric 3D rectangular prism that updates in real time as you change the length, width, and depth values. The front face is lightly filled, the top face is lighter, and the right face is darker — creating a three-dimensional appearance. Dimension labels in colour-coded monospace font (blue for length, green for depth, orange for width) match the input fields, making it easy to verify that dimensions were entered in the correct fields. The visualization provides an immediate “does this look right?” check: a driveway should be long and narrow, a garden bed should be wide and shallow, and an excavation should show significant depth.

Swimming Pool Volume

Swimming pool construction requires precise cubic yard calculations for excavation, concrete shell, and backfill. A standard residential pool measuring 30 × 15 feet with an average depth of 5 feet: excavation volume = 30 × 15 × 5 = 2,250 ft³ ÷ 27 = 83.33 yd³ of earth to remove. The concrete shell (assuming 8-inch thick walls and floor) adds approximately 15–20 yd³ of concrete. Backfill behind the pool walls requires 10–15 yd³ of gravel or sand. Total project: 100+ yd³ of material movement — a calculation the cubic yards calculator handles for each component separately.

For pool deck concrete, a typical 6-foot-wide deck surrounding a 30 × 15 pool: perimeter = 90 linear feet × 6 ft wide × 4 inches deep = 90 × 6 × 0.333 = 180 ft³ ÷ 27 = 6.67 yd³. At $130/yd³ for stamped concrete: approximately $867 in concrete alone. The calculator lets homeowners verify contractor estimates by entering the pool deck dimensions and checking the cubic yard output against the quoted quantity.

Retaining Wall Backfill

Retaining walls require drainage gravel backfill behind the wall face. The backfill zone is typically 12–18 inches wide (the space between the wall and the excavated earth), running the full length and height of the wall. A 50-foot retaining wall, 4 feet tall, with 12-inch gravel backfill: 50 × 1 × 4 = 200 ft³ ÷ 27 = 7.41 yd³ of drainage gravel. At 1.4 tons/yd³: approximately 10.4 tons. The gravel is critical for drainage — preventing hydrostatic pressure buildup behind the wall that could cause structural failure. The calculator sizes this backfill zone precisely.

Road and Parking Lot Base Layers

Roads and parking lots are built on multiple layers of compacted aggregate, each requiring cubic yard calculations. A typical residential driveway cross-section: 6 inches of compacted gravel base + 2 inches of asphalt or 4 inches of concrete surface. For a 60 × 12 foot driveway: gravel base = 60 × 12 × 0.5 = 360 ft³ ÷ 27 = 13.33 yd³. Concrete surface = 60 × 12 × 0.333 = 240 ft³ ÷ 27 = 8.89 yd³. Total material: 22.22 yd³ across two layers. Commercial parking lots multiply these quantities by the much larger area — a 200 × 100 foot lot at 6″ gravel base alone requires 370.37 yd³ (518 tons, 37 truckloads).

Raised Garden Beds

Raised bed gardening is one of the most popular DIY applications for the cubic yards calculator. A standard 4 × 8 foot raised bed at 12 inches deep: 4 × 8 × 1 = 32 ft³ ÷ 27 = 1.19 yd³. A typical fill mix is 60% topsoil + 30% compost + 10% perlite/vermiculite. For 1.19 yd³ total: 0.71 yd³ topsoil + 0.36 yd³ compost + 0.12 yd³ perlite. Buying in bags (typically 1 cubic foot each): 32 bags — at $5–$8 per bag, totalling $160–$256. Buying in bulk (yd³): approximately $50–$80 for the mix delivered. The calculator helps gardeners compare bag versus bulk economics by providing the exact cubic yard requirement.

Multiple raised beds compound quickly. Five 4 × 8 beds: 5 × 1.19 = 5.93 yd³ — well worth bulk delivery. Ten beds: 11.85 yd³ — a full dump truck load. The calculator handles individual bed calculations, and gardeners sum the results for their total order.

Foundation and Footing Calculations

Residential foundations require precise concrete quantities because under-ordering a concrete pour is one of the most expensive mistakes in construction. If a 10 yd³ foundation pour runs short at 9.5 yd³, the contractor must order another truck (minimum delivery typically 1–3 yd³ at a premium short-load fee of $50–$150), wait for delivery (45–90 minutes during which the partially-poured concrete begins setting), and deal with a potential cold joint (a structural weakness where fresh concrete meets partially-set concrete). This is why concrete contractors calculate precisely and then add 10–15% overage.

A standard residential slab-on-grade foundation for a 2,000 sq ft home at 4-inch thickness: 2,000 × 0.333 = 667 ft³ ÷ 27 = 24.69 yd³. With thickened edges (12 × 16 inches along the perimeter, approximately 180 linear feet): add 180 × 1.333 × 1 = 240 ft³ ÷ 27 = 8.89 yd³. Total: 33.58 yd³ — order 37 yd³ (4 truckloads at 10 yd³ each, with the last truck carrying 7 yd³). The calculator provides the base volume; the contractor adds the thickened-edge calculation and overage.

Landscaping Stone and Rock

Decorative stone, river rock, and landscape boulders are ordered by the cubic yard or by the ton. River rock for a decorative bed 20 × 8 feet at 3 inches deep: 20 × 8 × 0.25 = 40 ft³ ÷ 27 = 1.48 yd³. At 1.3 tons/yd³ (crushed stone density varies by type): approximately 1.93 tons. At $60/yd³ for river rock: $89 material cost. Pea gravel for a playground area 25 × 15 feet at 6 inches deep (minimum depth for fall protection): 25 × 15 × 0.5 = 187.5 ft³ ÷ 27 = 6.94 yd³ — a substantial quantity requiring truck delivery rather than bagged product.

Septic System Excavation

Septic system installation requires calculating excavation and backfill volumes for the tank hole, drain field trenches, and distribution box. A septic tank excavation 10 × 6 × 6 feet: 360 ft³ ÷ 27 = 13.33 yd³. Drain field trenches (4 trenches, each 50 ft long × 3 ft wide × 3 ft deep): 4 × 450 = 1,800 ft³ ÷ 27 = 66.67 yd³. Drain field gravel (12 inches of washed stone in each trench): 4 × 50 × 3 × 1 = 600 ft³ ÷ 27 = 22.22 yd³. Total excavation: approximately 80 yd³. Total gravel import: 22+ yd³. The calculator sizes each component, and the installer sums them for the complete project estimate.

Concrete Countertops and Small Pours

Not all cubic yard calculations involve large projects. Concrete countertops, fire pits, and small decorative elements use fractions of a cubic yard. A kitchen countertop 10 × 2.5 feet at 1.5 inches thick: 10 × 2.5 × 0.125 = 3.125 ft³ ÷ 27 = 0.116 yd³ — far below the minimum ready-mix delivery. These small projects use bagged concrete mix instead: 0.116 yd³ × 27 = 3.125 ft³. At approximately 0.6 ft³ per 80-lb bag: 6 bags of concrete mix. The calculator’s cubic feet output directly converts to bag count for small pours.

Snow Removal Volume Estimation

Snow removal contractors estimate snow volume in cubic yards for hauling and disposal planning. A parking lot 200 × 100 feet with 12 inches of snow: 200 × 100 × 1 = 20,000 ft³ ÷ 27 = 740.74 yd³ of snow. Snow density varies enormously: fresh powder weighs 0.05–0.10 tons/yd³ (3–6 lbs/ft³), wet heavy snow weighs 0.25–0.40 tons/yd³ (15–25 lbs/ft³). At 10 yd³ per truck load: 74 loads to haul all the snow — a major operation that requires careful volume estimation for contract pricing and scheduling.

Cost Estimation Best Practices

The calculator’s cost estimator multiplies cubic yards by your entered cost per yard, but total project cost involves several additional components. Material cost (what the calculator estimates) is typically 40–60% of total project cost. Delivery fees add $50–$200 per load depending on distance. Labour cost for spreading, grading, and compacting materials adds $30–$80 per hour per worker. Equipment rental (bobcat, excavator, compactor) adds $200–$500 per day. For a 15 yd³ gravel driveway project: material $600 + delivery $150 + labour $400 + equipment $300 = approximately $1,450 total versus $600 material-only. The calculator provides the material volume and cost — multiply by 2–2.5× for a rough total project cost estimate that includes labour and equipment.

Seasonal Considerations

Material availability and pricing vary seasonally. Spring is peak season for landscaping materials (mulch, topsoil, compost) — prices are highest and delivery wait times longest. Summer is peak for concrete — hot weather accelerates curing, requiring faster placement and potentially higher costs for hot-weather concrete mixes. Fall is often the best value for bulk materials — suppliers discount inventory before winter. Winter has the lowest prices but limited availability and frozen ground that prevents many projects. Plan your cubic yard calculations and material orders to align with the best seasonal pricing for your material type.

Erosion Control and Rip-Rap

Erosion control projects use cubic yard calculations for stone rip-rap placement along shorelines, creek banks, and drainage channels. Rip-rap (large angular stone placed to prevent erosion) is typically specified at 12–24 inches thick. A creek bank stabilisation 80 feet long × 6 feet high × 18 inches (1.5 feet) of rip-rap: 80 × 6 × 1.5 = 720 ft³ ÷ 27 = 26.67 yd³. At 1.5 tons/yd³ for rip-rap stone: 40 tons — requiring 4 standard dump truck deliveries. The underlying filter fabric and gravel bedding layer (typically 6 inches) adds: 80 × 6 × 0.5 = 240 ft³ ÷ 27 = 8.89 yd³ of gravel. Total stone and gravel: 35.56 yd³. Environmental permits often specify minimum rip-rap thickness and stone size — the calculator verifies that the proposed volume matches the permitted specifications.

Utility Trench Backfill

Underground utility installation (water lines, sewer pipes, electrical conduit, gas lines) requires calculating both excavation volume and backfill material. A water line trench 200 feet long × 2 feet wide × 4 feet deep: 200 × 2 × 4 = 1,600 ft³ ÷ 27 = 59.26 yd³ of excavation. The pipe and bedding sand (6 inches under and around the pipe) occupy approximately 15% of the trench volume: 8.89 yd³ of bedding material. The remaining 85% is backfilled with native soil (50.37 yd³). However, excavated soil “fluffs” 20–30% in volume — meaning only 40–45 yd³ of the excavated pile is needed for backfill, with 10–15 yd³ of excess soil requiring disposal. The calculator helps utility contractors estimate both the excavation volume (for equipment scheduling) and the backfill import volume (for material ordering).

Compost and Organic Amendment

Organic farmers and gardeners apply compost in bulk quantities measured in cubic yards. A typical compost application rate is 1–3 inches per year for garden beds and 0.25–0.5 inches for established lawns. A half-acre vegetable farm (21,780 sq ft) applying 2 inches of compost annually: 21,780 × 0.167 = 3,637 ft³ ÷ 27 = 134.7 yd³. At 0.55 tons/yd³: 74 tons. At $35/yd³ for bulk compost: $4,715 per year — a significant input cost that the calculator helps farmers budget. Composting on-site (using farm waste, food scraps, and cover crop residues) can reduce or eliminate this purchased input, but the volume calculation remains essential for planning windrow sizes and application scheduling.

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