Cubic Yard Calculator

What Is a Cubic Yard?

A cubic yard is a unit of volume commonly used in construction, landscaping, and home improvement projects. It measures the amount of space an object or material occupies.

One cubic yard equals:

• 27 cubic feet

• 0.7646 cubic meters

• 46,656 cubic inches

Contractors and suppliers typically sell materials like:

• Concrete

• Gravel

• Mulch

• Topsoil

• Sand

• Crushed stone

by the cubic yard.

Understanding how much is a cubic yard helps you order the right amount of material and reduce waste.

What Is a Cubic Yard Calculator?

A Cubic Yard Calculator is an online tool that calculates the volume of an area in cubic yards based on its dimensions.

Simply enter:

• Length

• Width

• Depth (or Height)

The calculator automatically converts the measurements and helps you calculate cubic yards accurately.

A yardage calculator is ideal for estimating materials before starting projects such as:

• Landscaping

• Driveways

• Garden beds

• Concrete slabs

• Foundations

• Patios

• Walkways

• Excavation work

How to Use the Cubic Yard Calculator

A Cubic Yard Calculator helps you calculate volume in cubic yards for different 3D shapes. It can also convert the result into cubic centimeters, cubic decimeters, cubic meters, cubic inches, and cubic feet.

Step 1: Select the Shape

Choose the required shape from the Shape dropdown.

The calculator supports:

• Box

• Cube

• Cylinder

• Hollow cuboid / Rectangular tube

• Hollow cylinder

• Hemisphere

• Cone

• Pyramid

• Other shape

The required input fields automatically change based on the selected shape.

Step 2: Enter the Required Dimensions

Enter the dimensions requested for your selected shape.

For example:

For a Box, enter:

$\text{Length},\ \text{Width},\ \text{Depth}$

For a Cube, enter:

$\text{Edge Length}$

For a Cylinder, enter:

$\text{Radius},\ \text{Height}$

For a Cone, enter:

$\text{Radius},\ \text{Height}$

Use the unit dropdown beside each field to select the correct measurement unit.

Step 3: Enter Price per Cubic Yard (Optional)

If you know the material cost per cubic yard, enter it in the Price per cubic yard field.

This can be useful for materials such as concrete, gravel, soil, mulch, sand, or fill.

If you only want to calculate volume, you can leave this field at 0.

Step 4: Click Calculate

Click Calculate after entering all required measurements.

The calculator first finds the volume of the selected shape and then converts the result into cubic yards.

Step 5: Review the Cubic Yard Result

The main result shows the calculated volume in:

$\text{cubic yards }(\text{cu yd})$

For example, a box measuring:

$15\,\text{ft} \times 7\,\text{ft} \times 8\,\text{ft}$

has:

$840\,\text{ft}^3$

which converts to approximately:

$31.11\,\text{cu yd}$

Step 6: Check Other Volume Units

The calculator also displays the same volume in:

• Cubic centimeters $\text{cm}^3$

• Cubic decimeters $\text{dm}^3$

• Cubic meters $\text{m}^3$

• Cubic inches $\text{in}^3$

• Cubic feet $\text{ft}^3$

• Cubic yards $\text{yd}^3$

This makes it easier to compare measurements or use the result for different projects.

Cubic Yard Calculator Formulas

The formula depends on the selected shape. After calculating the shape's volume, convert it into cubic yards when necessary.

Since:

$1\,\text{yd} = 3\,\text{ft}$

then:

$1\,\text{yd}^3 = 27\,\text{ft}^3$

Therefore:

$\text{Cubic Yards} = \frac{\text{Cubic Feet}}{27}$

Box Formula

For a rectangular box:

$V = L \times W \times D$

where:

$L = \text{length} \qquad W = \text{width} \qquad D = \text{depth}$

If all dimensions are entered in feet:

$V_{\text{yd}^3} = \frac{LWD}{27}$

Example

For:

$L = 15\,\text{ft} \qquad W = 7\,\text{ft} \qquad D = 8\,\text{ft}$

$V = 15 \times 7 \times 8 = 840\,\text{ft}^3$

Convert to cubic yards:

$V = \frac{840}{27} \approx 31.11\,\text{yd}^3$

Cube Formula

For a cube:

$V = a^3$

where:

$a = \text{edge length}$

If the edge is measured in feet:

$V_{\mathrm{yd}^3} = \frac{a^3}{27}$

Example

For: $a = 5\,\text{ft}$

$V = 5^3 = 125\,\text{ft}^3$

$V = \frac{125}{27} \approx 4.63\,\text{yd}^3$

Cylinder Formula

For a cylinder:

$V = \pi r^2 h$

where:

$r = \text{radius} \qquad h = \text{height}$

If the measurements are in feet:

$V_{\mathrm{yd}^3} = \frac{\pi r^2 h}{27}$

Example

For:

$r = 3\,\text{ft} \qquad h = 7\,\text{ft}$

$V = \pi(3)^2(7) = 63\pi \approx 197.92\,\text{ft}^3$

$V = \frac{197.92}{27} \approx 7.33\,\text{yd}^3$

Hollow Cuboid / Rectangular Tube Formula

A hollow cuboid is calculated by subtracting the inner volume from the outer volume.

Let:

$L = \text{outer length} \qquad W = \text{outer width} \qquad t = \text{wall thickness} \qquad H = \text{height}$

The inner dimensions are:

$L_i = L - 2t \qquad W_i = W - 2t$

The material volume is:

$V = H\left[LW - (L-2t)(W-2t)\right]$

If dimensions are in feet:

$V_{\mathrm{yd}^3} = \frac{H\left[LW-(L-2t)(W-2t)\right]}{27}$

Hollow Cylinder Formula

For a hollow cylinder:

$V = \pi h\left(R^2-r^2\right)$

where:

$R = \text{outer radius} \qquad r = \text{inner radius} \qquad h = \text{height}$

If the measurements are in feet:

$V_{\mathrm{yd}^3} = \frac{\pi h\left(R^2-r^2\right)}{27}$

Example

For:

$R = 7\,\text{ft} \qquad r = 3\,\text{ft} \qquad h = 14\,\text{ft}$

$V = \pi(14)\left(7^2-3^2\right) = 14\pi(49-9) = 560\pi \approx 1759.29\,\text{ft}^3$

$V \approx 65.16\,\text{yd}^3$

Hemisphere Formula

A hemisphere is half of a sphere.

The sphere volume formula is:

$V = \frac{4}{3}\pi r^3$

Therefore, a hemisphere is:

$V = \frac{2}{3}\pi r^3$

If the radius is measured in feet:

$V_{\mathrm{yd}^3} = \frac{\frac{2}{3}\pi r^3}{27}$

Example

For:

$r = 8\,\text{ft}$

$V = \frac{2}{3}\pi(8)^3 = \frac{2}{3}\pi(512) \approx 1072.33\,\text{ft}^3$

$V \approx 39.72\,\text{yd}^3$

Cone Formula

For a cone:

$V = \frac{1}{3}\pi r^2 h$

where:

$r = \text{radius} \qquad h = \text{height}$

If dimensions are in feet:

$V_{\mathrm{yd}^3} = \frac{\frac{1}{3}\pi r^2 h}{27}$

Example

For:

$r = 5\,\text{ft} \qquad h = 15\,\text{ft}$

$V = \frac{1}{3}\pi(5)^2(15) = 125\pi \approx 392.70\,\text{ft}^3$

$V \approx 14.54\,\text{yd}^3$

Pyramid Formula

For a pyramid:

$V = \frac{1}{3}Bh$

where:

$B = \text{base area} \qquad h = \text{height}$

If the base area is in square feet and height is in feet:

$V_{\mathrm{yd}^3} = \frac{Bh}{81}$

because:

$V_{\mathrm{ft}^3} = \frac{Bh}{3}$

and:

$V_{\mathrm{yd}^3} = \frac{V_{\mathrm{ft}^3}}{27}$

Example

For:

$B = 20\,\text{ft}^2 \qquad h = 14\,\text{ft}$

$V = \frac{1}{3}(20)(14) = 93.33\,\text{ft}^3$

$V = \frac{93.33}{27} \approx 3.46\,\text{yd}^3$

Other Shape Formula

The Other shape option is useful when you already know the cross-sectional area and depth.

The formula is:

$V = A \times D$

where:

$A = \text{area} \qquad D = \text{depth}$

If the area is entered in square feet and depth in feet:

$V_{yd^3} = \frac{AD}{27}$

Example

For:

$A = 25\,\text{ft}^2$

and:

$D = 7\,\text{ft}$

$V = 25 \times 7 = 175\,\text{ft}^3$

$V = \frac{175}{27} \approx 6.48\,\text{yd}^3$

$\boxed{V \approx 6.48\,\text{yd}^3}$

Cubic Yard Conversion Formula

If the original volume is already known in cubic feet:

$\boxed{1\,\text{yd}^3 = \frac{1\,\text{ft}^3}{27}}$

To convert cubic yards back to cubic feet:

$\boxed{\text{ft}^3 = \text{yd}^3 \times 27}$

For example:

$840\,\text{ft}^3$

becomes:

$\frac{840}{27} = 31.11\,\text{yd}^3$

This is the same result shown by the calculator for the 15 ft × 7 ft × 8 ft box.

Benefits of Using a Cubic Yard Calculator

A Cubic Yard Calculator helps you estimate material quantities quickly and accurately, making planning easier for projects of any size.

Saves Time

Instead of performing manual calculations, simply enter your measurements and let the cubic yards calculator do the work instantly.

Improves Accuracy

The calculator uses the standard volume formula to calculate cubic yards, helping reduce costly mistakes and material shortages.

Reduces Waste

Ordering the correct amount of material means less waste and lower project costs.

Budget-Friendly

Knowing the required yardage helps you estimate expenses before purchasing materials.

Easy for Everyone

Whether you're a homeowner, landscaper, contractor, or DIY enthusiast, this yard calculator is simple to use.

Works for Many Materials

Estimate cubic yards for:

• Concrete

• Gravel

• Sand

• Mulch

• Topsoil

• Compost

• Crushed stone

• Fill dirt

Free and Convenient

Use the CY calculator anytime without downloading software or creating an account.

Common Uses of a Cubic Yard Calculator

A yardage calculator is useful for many residential, commercial, and landscaping projects.

Concrete Projects

Estimate the amount of concrete needed for:

• Slabs

• Sidewalks

• Patios

• Foundations

• Driveways

Landscaping

Calculate materials for:

• Garden beds

• Mulch

• Decorative rocks

• Topsoil

• Raised planters

Gravel Driveways

Determine how much gravel is required for a new driveway or pathway.

Sand and Fill Dirt

Estimate the correct amount of sand or fill dirt for leveling, grading, or construction work.

Excavation Projects

Contractors use a cubic yard calculator to estimate excavation volumes before removing or replacing soil.

How Much Is a Cubic Yard?

Many people ask, "How much is a cubic yard?"

A cubic yard is a volume equal to:

Visual Example

A cubic yard is roughly the size of a cube measuring:

• 3 feet long

• 3 feet wide

• 3 feet high

This simple comparison makes it easier to understand the amount of material you'll need.

Common Material Estimates

The table below shows approximate coverage for 1 cubic yard of common materials.

*Coverage varies depending on compaction, moisture, and material type.

Common Mistakes When Calculating Cubic Yards

Avoid these common errors to improve accuracy.

Mixing Measurement Units

Always use the same unit for length, width, and depth before calculating.

Forgetting to Convert Inches

If depth is measured in inches, convert it to feet before calculating volume.

For example:

• 6 inches = 0.5 feet

• 3 inches = 0.25 feet

Using Incorrect Dimensions

Measure carefully, especially for irregular areas or uneven ground.

Forgetting to Divide by 27

Many people calculate cubic feet but forget the final conversion to cubic yards.

Remember:

$\text{Cubic Yards} = \frac{\text{Cubic Feet}}{27}$

Ordering Exact Quantities

Construction professionals often order an additional 5–10% to account for settling, compaction, and minor material loss.

Tips for More Accurate Yardage Calculations

Follow these best practices before ordering materials.

• Measure the area more than once.

• Convert all measurements to the same unit.

• Double-check the depth across the entire area.

• Round up when ordering bulk materials.

• Use a yardage calculator to verify your measurements before purchasing.

• For irregular shapes, divide the area into smaller sections and calculate each separately.

Who Should Use This Cubic Yard Calculator?

Our cubic yard calculator is designed for anyone who needs quick and accurate volume estimates.

It is especially useful for:

• Homeowners

• Landscapers

• Contractors

• Builders

• Gardeners

• Concrete suppliers

• DIY enthusiasts

• Engineers

• Construction estimators

Conclusion

Whether you're pouring concrete, spreading mulch, installing gravel, or preparing a garden bed, our Cubic Yard Calculator helps you estimate material quantities with confidence. Instead of performing manual conversions, simply enter your measurements and let the yardage calculator instantly calculate cubic yards for your project.

If you're looking for a reliable cubic yards calculator, this free tool provides quick, accurate results for homeowners, contractors, landscapers, and DIY enthusiasts. Use it today to save time, reduce waste, and ensure you order the right amount of material every time.

Helpful Resources

• Cubic Yard

• Volume

• Construction Calculator Guide

Pro Tips

• Ensure accurate input of length, width, and height for precise volume calculation.

• Use the appropriate unit for the input dimensions (feet, inches, or yards).

• Double-check the calculated volume to ensure it matches your expectations.

• Cubic yard calculators are useful for construction, landscaping, and material estimation.