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Cubic Yard Calculator

Estimate cubic yards, cubic feet, waste allowance, and optional material cost for rectangular, triangular, or circular areas.

  • cubic yards
  • yardage
  • mulch calculator
  • soil calculator
  • gravel calculator

For rectangles and triangles, enter length in feet.

For rectangles and triangles, enter width in feet.

For circles, enter diameter in feet.

Enter material depth in inches.

Optional extra percentage for compaction, grading, and supplier rounding.

Optional bag size in cubic feet for bagged material estimates.

Optional material density in tons per cubic yard for rough tonnage estimates.

Choose how to round the waste-adjusted cubic yards for supplier ordering.

Optional material price for a rough cost estimate.

Status: initial

Results

Awaiting calculation

Explore your result

Cubic-yard order plan

Explore the cubic yard calculator result visually while keeping this page's detailed guidance and examples.

Cubic-yard order plan
Calculated3.4 yd³
With waste3.7 yd³
Order quantity4 yd³
Bag equivalent183 bags

Use this result well

  1. 1Verify the calculator inputs.
  2. 2Compare the key result relationships.
  3. 3Review the page guidance before acting.

Round to supplier increments only after adding realistic waste.

Calculator guide

Introduction

The Cubic Yard Calculator estimates bulk material volume from area dimensions and depth. It is useful for planning mulch, topsoil, gravel, sand, compost, fill, and similar landscaping or construction materials.

Purpose

Use this calculator to turn simple field measurements into cubic feet, cubic yards, order quantity with waste, rounded supplier order quantity, bag count, rough tonnage, and optional material cost before requesting a quote.

How cubic yards are calculated

The calculator finds the surface area, converts depth from inches to feet, multiplies area by depth to get cubic feet, then divides by 27 because one cubic yard equals 27 cubic feet.

Variable explanations

Understand what each input and result means before calculating.

Shape

The basic area shape used to calculate square footage.

Length

The long side of a rectangular or triangular area in feet.

Width

The short side of a rectangular or triangular area in feet.

Diameter

The full width across a circular area in feet.

Depth

The material thickness in inches, such as 2 inches of mulch or 4 inches of gravel.

Waste allowance

Extra volume added for grading variation, compaction, spillage, and delivery rounding.

Price per cubic yard

Optional supplier price used only for a rough material cost estimate.

Bag size

Optional bag size in cubic feet for bagged material estimates.

Density

Optional tons per cubic yard used for rough tonnage estimates.

Order rounding

Supplier-style rounding increment for practical order planning.

Reviewed by the Calculator.org.in Editorial Team

Formula behavior, validation cases, explanatory examples, and cited sources are checked before publication. This review supports educational accuracy and is not a substitute for qualified professional advice.

Last reviewed: 2026-08-02

Review process

Formula guide

See the calculation logic, variable definitions, and practical meaning.

Rectangle or square

Cubic yards = length x width x depth(feet) / 27

  • Length and width are in feet.
  • Depth is converted from inches to feet.

Use this for beds, slabs, trenches, rectangular pads, and most straight-sided areas.

Triangle

Cubic yards = length x width x depth(feet) / 2 / 27

  • Length and width describe the triangular area.
  • Depth is material depth.

Use this for corner beds or triangular sections.

Circle

Cubic yards = pi x radius^2 x depth(feet) / 27

  • Radius is half the diameter.
  • Depth is converted from inches to feet.

Use this for circular beds, round pads, fire pit areas, or tree rings.

Coverage per cubic yard

Coverage at depth = 324 / depth in inches

  • One cubic yard covers 324 square feet at 1 inch deep.

This helps compare common mulch, soil, gravel, and compost depths.

Tons

Tons = cubic yards with waste x tons per cubic yard

  • Density depends on material, moisture, and compaction.

Use this only as a rough weight estimate when a supplier gives density.

Bags

Bags = cubic feet with waste / bag size

  • Bag size is entered in cubic feet.

The calculator rounds up because bags are purchased as whole units.

Worked examples

Follow realistic inputs through the calculation step by step.

1

Worked example

Mulch bed

  1. 1Enter a 20 ft length and 8 ft width.
  2. 2Set depth to 3 inches.
  3. 3Add a small waste allowance and review cubic yards to order.
2

Worked example

Gravel path

  1. 1Measure the path as one or more rectangular sections.
  2. 2Enter depth based on the planned gravel layer.
  3. 3Use cubic yards with waste for supplier conversations.
3

Worked example

Circular planting bed

  1. 1Choose circle as the shape.
  2. 2Enter the bed diameter in feet.
  3. 3Enter mulch or soil depth in inches.
4

Worked example

Budget estimate

  1. 1Enter price per cubic yard from a supplier quote.
  2. 2Calculate volume with waste.
  3. 3Use estimated cost as planning context, not a final invoice.
5

Worked example

Bagged material estimate

  1. 1Enter the area and depth.
  2. 2Add waste or overage.
  3. 3Enter bag size in cubic feet.
  4. 4Review bags needed and bags-per-yard conversion.
6

Worked example

Tonnage estimate

  1. 1Ask the supplier for tons per cubic yard.
  2. 2Enter that density.
  3. 3Review estimated tons in the order summary.

Common mistakes

Avoid these common input and interpretation errors.

Mixing depth units

Depth is entered in inches and converted to feet before calculating volume.

Forgetting that one yard is 27 cubic feet

Cubic feet are divided by 27 to convert to cubic yards.

Ordering without waste

Bulk materials can settle, compact, spill, or be rounded by delivery rules.

Using one rectangle for an irregular area

Break irregular spaces into smaller rectangles, triangles, or circles and add the results.

Confusing bags and yards

A cubic yard is 27 cubic feet, so bag count depends heavily on bag size.

Using a generic tons conversion

Tons per cubic yard can vary widely by material and moisture.

Frequently asked questions

Quick answers to the questions users ask most often.

What does this Cubic Yard Calculator calculate?
It calculates area, depth in feet, cubic feet, cubic yards, cubic yards with waste, and optional material cost.
What is the formula for cubic yards?
For a rectangle, multiply length by width by depth in feet, then divide cubic feet by 27.
Why do you divide by 27?
One cubic yard is 3 feet by 3 feet by 3 feet, which equals 27 cubic feet.
Can I enter depth in inches?
Yes. Depth is entered in inches because mulch, soil, gravel, and concrete layers are often specified that way.
Can this calculate mulch?
Yes. It can estimate cubic yards for mulch beds when you enter the bed dimensions and depth.
Can this calculate gravel?
Yes. It estimates gravel volume, though compaction and material type should be confirmed with your supplier.
Can this calculate topsoil?
Yes. Enter the area and desired topsoil depth to estimate cubic yards.
Can this calculate concrete?
It can estimate simple cubic yard volume, but concrete orders may require a specialized concrete calculator.
What waste allowance should I use?
Many planning estimates use 5% to 15%, but the right amount depends on the material, site conditions, and supplier rounding.
Does this convert cubic yards to tons?
Yes, if you enter a tons-per-cubic-yard density. The estimate depends on material density and moisture.
How do I calculate an irregular area?
Split the area into simpler rectangles, triangles, or circles, calculate each section, and add the cubic yards.
Should I round up cubic yards?
Suppliers often sell in whole or half-yard increments, so confirm ordering rules before buying.
Is the cost estimate final?
No. It uses material price only and does not include delivery, tax, labor, equipment, or minimum order fees.
What does one cubic yard look like?
One cubic yard is a cube 3 feet long, 3 feet wide, and 3 feet high.
Is this engineering advice?
No. It is a planning tool for volume estimates and should be checked against project requirements.
How many bags are in one cubic yard?
One cubic yard is 27 cubic feet, so it equals 27 one-cubic-foot bags, 18 one-and-a-half-cubic-foot bags, 13.5 two-cubic-foot bags, or 9 three-cubic-foot bags.
How much area does one cubic yard cover?
One cubic yard covers 324 square feet at 1 inch deep, 162 square feet at 2 inches, 108 square feet at 3 inches, or 81 square feet at 4 inches.
Why round the order quantity?
Suppliers may sell in whole, half, or quarter-yard increments, so the exact calculated amount may not be the order amount.

References

Sources used to support the calculator guidance.

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Version history

A transparent record of calculator content updates.

Updated 2026-08-02
  • 1.0.0 · 2026-07-05

    Initial cubic yard calculator release.

  • 1.1.0 · 2026-08-02

    Added rounded order quantity, bag counts, tonnage, coverage per yard, depth comparison, bag conversion, and ordering checklist.