Cubic Yard Calculator – Complete Guide | Formula, Materials & Project Estimates

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Before ordering concrete for a driveway, mulch for a garden bed, gravel for a pathway, or topsoil for a lawn, you need to know exactly how many cubic yards of material to buy.

Before ordering concrete for a driveway, mulch for a garden bed, gravel for a pathway, or topsoil for a lawn, you need to know exactly how many cubic yards of material to buy. Order too little and your project stalls. Order too much and you waste money on material you cannot return. Our Cubic Yard Calculator gives you a precise volume estimate in seconds — just enter your length, width, and depth.

What Is a Cubic Yard?

A cubic yard is a unit of volume used primarily in the United States for construction and landscaping. It represents the space inside a perfect cube that measures 3 feet wide, 3 feet deep, and 3 feet tall. Since 3 x 3 x 3 = 27, one cubic yard equals exactly 27 cubic feet.

Visual Reference: Picture a large front-load washing machine or a standard bathtub. A cubic yard is roughly that size — large enough to hold about 200 gallons of material. A typical concrete truck delivers between 8 and 10 cubic yards per load.

When a landscaping supplier or concrete company asks "How many yards do you need?", they are asking for cubic yards — not linear yards or square yards. This is the standard unit used across the construction and landscaping industries in the US for bulk material orders including concrete, mulch, topsoil, gravel, sand, and fill dirt.

UnitEquivalent
1 Cubic Yard27 cubic feet
1 Cubic Yard46,656 cubic inches
1 Cubic Yard0.7646 cubic meters
1 Cubic YardAbout 202 US gallons
27 Cubic Feet1 cubic yard
1 Cubic Foot0.037 cubic yards

Cubic Yard Formula

The formula to calculate cubic yards from measurements taken in feet is straightforward. You multiply the three dimensions together and divide by 27.

Cubic Yards = (Length ft x Width ft x Depth ft) / 27

 

Example: Length = 12 ft | Width = 6 ft | Depth = 6 inches (= 0.5 ft)

Volume = 12 x 6 x 0.5 = 36 cubic feet

36 / 27 = 1.33 cubic yards

Important: All three measurements must be in the same unit before you calculate. If your depth is in inches (which is common for shallow layers of mulch or gravel), divide by 12 first to convert to feet. For example, 4 inches = 4 / 12 = 0.333 feet.

Formula for Cylindrical Areas

Cubic Yards = (3.14159 x Radius ft x Radius ft x Depth ft) / 27

 

Example: Circular garden bed | Diameter = 10 ft (Radius = 5 ft) | Depth = 3 inches (= 0.25 ft)

Volume = 3.14159 x 5 x 5 x 0.25 = 19.63 cubic feet

19.63 / 27 = 0.73 cubic yards

Formula When You Know Square Footage

Cubic Yards = (Square Feet x Depth in inches) / 324

 

Example: Area = 200 sq ft | Depth = 3 inches

200 x 3 = 600 | 600 / 324 = 1.85 cubic yards

No matter which formula applies to your project, our Cubic Yard Calculator handles all the math automatically. Just enter your measurements and get an instant result.

How to Use a Cubic Yard Calculator – Step-by-Step

  1. Measure the lengthof the area you need to fill or cover, using feet or inches. For an irregular shape, measure the longest dimension.
  2. Measure the widthof the area. For a circular area, measure the diameter and divide by 2 to get the radius.
  3. Measure the depth— how thick or deep you want the material. This is often given in inches for mulch, gravel, or topsoil layers.
  4. Enter the valuesinto ourCubic Yard Calculator. The tool automatically converts inches to feet and applies the correct formula.
  5. Read your resultin cubic yards. Add 10–15% extra to your order to account for compaction, spillage, or uneven surfaces.

Worked Example – Concrete Driveway

You are pouring a new concrete driveway that is 20 feet long10 feet wide, and 4 inches thick. How many cubic yards of concrete do you need to order?

StepCalculationResult
Convert depth to feet4 inches / 120.333 ft
Multiply dimensions20 x 10 x 0.33366.6 cubic feet
Divide by 2766.6 / 272.47 cubic yards
Add 10% buffer2.47 x 1.102.72 cubic yards

You should order approximately 2.75 cubic yards of concrete — rounding up slightly to ensure you have enough for the full pour. Most concrete suppliers sell in quarter-yard or half-yard increments. Our Concrete Calculator provides even more detailed estimates including bags versus ready-mix quantities.

Coverage Chart – How Much Does 1 Cubic Yard Cover?

One of the most common questions before ordering bulk materials is: how much area will one cubic yard cover? The answer depends entirely on how deep you spread the material.

DepthArea Covered by 1 Cubic Yard
1 inch324 square feet
2 inches162 square feet
3 inches108 square feet
4 inches81 square feet
6 inches54 square feet
1 foot (12 inches)27 square feet
2 feet (24 inches)13.5 square feet

Formula behind the table: Coverage (sq ft) = 324 / Depth (inches)

To use this in reverse — finding how many cubic yards you need for a known area: Cubic Yards = (Area in sq ft x Depth in inches) / 324

Common Materials and Their Cubic Yard Weights

Different materials weigh differently per cubic yard. When ordering by weight (tons) rather than volume, knowing the approximate weight per cubic yard helps you convert accurately. Our Gravel Calculator and Mulch Calculator include material-specific weight conversions.

MaterialWeight per Cubic YardTypical Use
Concrete (wet mix)3,600 – 4,050 lbs (1.8–2 tons)Driveways, slabs, foundations
Gravel (dry)2,700 – 3,000 lbs (1.35–1.5 tons)Driveways, drainage, pathways
Sand (dry)2,600 – 2,900 lbs (1.3–1.45 tons)Paving base, playgrounds, fill
Topsoil2,000 – 2,700 lbs (1–1.35 tons)Lawns, gardens, raised beds
Mulch (wood chips)400 – 800 lbs (0.2–0.4 tons)Garden beds, tree surrounds
Fill Dirt2,000 – 2,500 lbs (1–1.25 tons)Grading, backfill, leveling
Crushed Stone2,500 – 2,700 lbs (1.25–1.35 tons)Base layers, drainage
Compost1,000 – 1,600 lbs (0.5–0.8 tons)Soil amendment, garden beds

Real-World Project Uses for the Cubic Yard Calculator

Concrete Slabs and Driveways

Concrete is sold by the cubic yard from ready-mix suppliers. Ordering too little leaves gaps; ordering too much costs hundreds of dollars in wasted material. Accurate calculation is critical before scheduling a pour.

Mulch for Garden Beds

Landscapers recommend 2–3 inches of mulch for weed suppression and moisture retention. Most bulk mulch suppliers sell by the cubic yard. Calculate your garden bed area and depth to order the right amount.

Topsoil for Lawns

Reseeding a lawn or filling low spots requires a consistent layer of topsoil, typically 4–6 inches deep for new seeding. Measure the area in square feet and use the calculator to determine how many yards to order.

Gravel Driveways and Pathways

Gravel driveways typically require 4–6 inches of gravel for a solid base. Use our Gravel Calculator to estimate the cubic yards of crushed stone, pea gravel, or road base needed for your driveway or pathway.

Raised Garden Beds

Filling a raised garden bed with a soil and compost mix requires accurate volume estimates. For a bed that is 8 ft x 4 ft x 1 ft deep, you need about 1.19 cubic yards of material — without calculating, you risk buying too many or too few bags.

Pool Excavation and Fill Dirt

Contractors use cubic yards to calculate how much dirt must be excavated for a pool, basement, or foundation, and how much fill dirt is needed to backfill or level the surrounding area after construction.

How to Measure Irregular Areas

Not every project area is a perfect rectangle. Here is how to handle the most common irregular shapes.

L-Shaped Area

Split the L-shape into two separate rectangles. Calculate the cubic yards for each rectangle individually using the standard formula, then add the two results together for the total.

Circular or Round Area

Measure the diameter, divide by 2 to get the radius.

Cubic Yards = (3.14159 x Radius ft x Radius ft x Depth ft) / 27

Triangular Area

Cubic Yards = (0.5 x Base ft x Height ft x Depth ft) / 27

This is the same as calculating a rectangle and halving the result.

Trapezoidal Area

Area = ((Side A + Side B) / 2) x Height

Cubic Yards = (Area x Depth ft) / 27

Pro Tip: For very irregular areas (curved garden beds, odd-shaped patios), break the area into multiple simple shapes, calculate each one separately, and add the results. Always add a 10–15% buffer to account for edges, uneven ground, and material settling.

Converting Between Cubic Yards and Other Units

FromTo Cubic YardsMultiply By
Cubic FeetCubic YardsDivide by 27
Cubic InchesCubic YardsDivide by 46,656
Cubic MetersCubic YardsMultiply by 1.30795
Cubic YardsCubic FeetMultiply by 27
Cubic YardsCubic InchesMultiply by 46,656
Cubic YardsCubic MetersMultiply by 0.7646
Cubic YardsUS GallonsMultiply by 201.97
Cubic YardsLitersMultiply by 764.6

How Many Bags to Buy Instead of Bulk?

For small projects, buying bagged material from a home improvement store may be more practical than ordering bulk by the cubic yard. Here is a comparison to help you decide.

Bag SizeCubic Feet per BagBags Needed per Cubic Yard
0.5 cubic foot bag0.5 cu ft54 bags
1 cubic foot bag1.0 cu ft27 bags
1.5 cubic foot bag1.5 cu ft18 bags
2 cubic foot bag2.0 cu ft14 bags
3 cubic foot bag3.0 cu ft9 bags

Cost Comparison: For projects requiring more than 2–3 cubic yards, ordering in bulk from a landscape supplier is almost always cheaper per cubic yard than buying individual bags. For very small projects under 0.5 cubic yards, bagged material is more convenient and avoids minimum order fees.

How Much Extra Material Should You Order?

Experienced contractors and landscapers always add a buffer to their calculated volume. Here are the recommended overages by material type.

MaterialRecommended BufferReason
Concrete5–10%Waste during pour, uneven subbase, forms that are not perfectly level
Gravel / Crushed Stone10–15%Compaction reduces volume by 15–20% after settling
Topsoil10–15%Settling after watering, uneven ground, and minor waste
Mulch5–10%Edges, irregular bed shapes, and minor spillage
Sand10%Compaction and spillage during spreading
Fill Dirt15–20%Significant compaction once soil is watered and packed

Related Calculators

Frequently Asked Questions (FAQ)

How many cubic feet are in a cubic yard?

There are exactly 27 cubic feet in one cubic yard. This is because one yard equals 3 feet, and a cube has three dimensions — so 3 x 3 x 3 = 27. To convert cubic feet to cubic yards, simply divide by 27. To convert cubic yards back to cubic feet, multiply by 27.

How do I calculate cubic yards from inches?

First convert all measurements to feet by dividing inches by 12. Then apply the formula: Cubic Yards = (Length ft x Width ft x Depth ft) / 27. For example, if your dimensions are 120 inches x 72 inches x 4 inches, convert to feet first: 10 ft x 6 ft x 0.333 ft = 19.98 cubic feet / 27 = 0.74 cubic yards. Our Cubic Yard Calculator handles the inch conversion automatically.

How many cubic yards of mulch do I need for a garden bed?

For a standard garden bed with 3 inches of mulch, use the formula: Cubic Yards = (Area in sq ft x 3) / 324. For a 200 sq ft garden bed at 3 inches deep, you need (200 x 3) / 324 = 1.85 cubic yards. For a 500 sq ft bed, you need about 4.6 cubic yards. Add 10% for edges and waste. Use our Mulch Calculator for a complete estimate.

How many cubic yards are in a dump truck load?

A standard single-axle dump truck holds approximately 7–10 cubic yards of material. A larger tandem-axle or tri-axle dump truck can carry 14–16 cubic yards. The exact capacity depends on the truck model and the weight of the material being hauled, since many trucks have weight limits in addition to volume limits.

How much does a cubic yard of concrete cost?

Ready-mix concrete typically costs between $120 and $200 per cubic yard depending on your location, the concrete mix design, and current material prices. Delivery fees, short-load charges (for less than a full truck), and pump rental can add $50–$200 or more to the total. Always get quotes from at least two or three suppliers and confirm current pricing before ordering.

What is the difference between a cubic yard and a square yard?

A square yard measures area — a flat surface 3 feet x 3 feet = 9 square feet. It has two dimensions (length and width). A cubic yard measures volume — a three-dimensional space 3 feet x 3 feet x 3 feet = 27 cubic feet. It has three dimensions (length, width, and depth). When buying materials like mulch or concrete, you always need cubic yards because you are filling a three-dimensional space, not just covering a flat surface.

How do I calculate cubic yards for a circular area?

For a circular area such as a round flower bed or a circular concrete pad, use the formula: Cubic Yards = (3.14159 x Radius ft x Radius ft x Depth ft) / 27. To find the radius, measure the diameter (the full width across the circle) and divide by 2. Enter your values into our Cubic Yard Calculator and select the "circular" shape option for an instant result.

Why should I add extra when ordering bulk materials?

Several factors reduce the effective volume of material after delivery. Gravel and fill dirt compact significantly once spread and watered down, reducing volume by 15–20%. Concrete is lost to waste and overfill at edges. Mulch gets spread unevenly, with more needed at edges and corners. Adding a 10–15% buffer to your calculated volume prevents running short mid-project and avoids costly second deliveries.

Calculate Your Project Now

Whether you are pouring a concrete patio, spreading mulch in a garden bed, laying a gravel driveway, or filling raised planting beds, getting the cubic yard count right from the start saves time, money, and frustration. Use our free calculators for accurate estimates on every project.

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