Cubic Yards Calculator

Cubic Yards Calculator – Volume for Any Shape

Cubic Yards Calculator

Instant volume for any shape: rectangle, circle, triangle, border and more

Select Shape and Enter Dimensions
Optional: Cost Estimate
Coverage Reference: 1 Cubic Yard by Depth
Depth Coverage (sq ft) Common Use
1 inch324Lawn topdressing
2 inches162Garden beds, light mulch
3 inches108Mulch, tree rings, paths
4 inches81Gravel paths, thick mulch
6 inches54Gravel base under pavers
12 inches27Deep fill or drainage layer

Bags Needed to Fill One Cubic Yard
Bag Size (cu ft)Bags per Cubic Yard
0.5 cu ft54
0.75 cu ft36
1.0 cu ft27
1.5 cu ft18
2.0 cu ft13.5
3.0 cu ft9

What Is a Cubic Yard?

A cubic yard is a standard unit of volume used throughout construction and landscaping in the United States. Picture a perfect cube measuring 3 feet on every side: that is exactly one cubic yard. Because each side is 3 feet, you get 3 x 3 x 3 = 27 cubic feet in a single cubic yard.

Suppliers of mulch, gravel, topsoil, sand, and ready-mix concrete all price and deliver material by the cubic yard. Knowing the correct volume before you order prevents expensive overages and frustrating shortages mid-project.

1 cubic yard = 27 cubic feet = 46,656 cubic inches = 0.7646 cubic meters

How to Calculate Cubic Yards

Calculating cubic yards from a rectangular area is straightforward once all measurements are in the same unit. The most common approach uses feet.

Step 1: Convert Everything to Feet

Measurements in inches must be divided by 12. For example, a depth of 4 inches equals 4 divided by 12, or 0.333 feet. Centimeters divide by 30.48 and meters multiply by 3.2808.

Step 2: Multiply Length x Width x Depth

This gives you cubic feet. For a 10 foot by 12 foot area at 4 inches deep you would calculate: 10 x 12 x 0.333 = 40 cubic feet.

Step 3: Divide by 27

Dividing by 27 converts cubic feet into cubic yards. In the example above: 40 divided by 27 = 1.48 cubic yards.

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

Formulas for Other Shapes

  • Circle: Area = 3.14159 x (Diameter / 2)^2, then Volume = Area x Depth, then divide by 27
  • Triangle: Area = 0.5 x Base x Height, then Volume = Area x Depth, then divide by 27
  • Trapezoid: Area = ((Side A + Side B) / 2) x Height, then Volume = Area x Depth, then divide by 27
  • Rectangle Border: Total Area minus Inner Area = Border Area, then multiply by Depth and divide by 27
  • Annulus: Outer Circle Area minus Inner Circle Area, then multiply by Depth and divide by 27

Cubic Yards for Common Projects

Cubic yards appear in nearly every outdoor project. The calculator above works for all of the situations below.

Mulch and Garden Beds

Most landscape professionals apply mulch at a depth of 2 to 3 inches for garden beds and 3 to 4 inches along pathways. Spreading mulch too thin lets weeds push through; piling it too thick can suffocate plant roots and trap moisture against stems.

Gravel Driveways and Paths

A gravel driveway typically needs 4 to 6 inches of compacted gravel base. Because gravel compacts as it settles, add 10 to 15 percent to your calculated volume before ordering. This prevents running short after the delivery truck leaves.

Concrete Slabs and Footings

Concrete is ordered and poured by the cubic yard. A standard 4 inch residential slab covering 100 square feet requires about 1.23 cubic yards. Always add 5 percent for minor spills and irregular grades. Use the optional cost field in the calculator to get an instant price estimate from your supplier’s quoted rate.

Topsoil and Fill Dirt

Topsoil for a new lawn or raised garden bed is typically applied at 6 inches. Fill dirt for leveling low spots can range from a few inches to several feet. The calculator handles any depth you enter, regardless of units.

Playground Safety Surfacing

Safety guidelines commonly specify 8 to 12 inches of loose fill material under playground equipment. The depth requirement increases with the height of the equipment, so confirm your local safety code before ordering.

Square Feet to Cubic Yards Table

Square feet to cubic yards conversion depends on depth. This ready reference table saves you from doing the math manually for common areas and depths.

Area (sq ft)2 in depth3 in depth4 in depth6 in depth
100 sq ft0.62 yd³0.93 yd³1.23 yd³1.85 yd³
200 sq ft1.23 yd³1.85 yd³2.47 yd³3.70 yd³
300 sq ft1.85 yd³2.78 yd³3.70 yd³5.56 yd³
500 sq ft3.09 yd³4.63 yd³6.17 yd³9.26 yd³
750 sq ft4.63 yd³6.94 yd³9.26 yd³13.89 yd³
1000 sq ft6.17 yd³9.26 yd³12.35 yd³18.52 yd³
1500 sq ft9.26 yd³13.89 yd³18.52 yd³27.78 yd³
2000 sq ft12.35 yd³18.52 yd³24.69 yd³37.04 yd³

Formula used: Cubic Yards = (Area sq ft x Depth in) / 324

Overage and Waste Allowances

Overage planning prevents running short of material before a project is finished. Every material type behaves differently when compacted, spread, or cut to edges.

Material or ProjectAdd Extra (%)Reason
Decorative mulch5 to 10%Edge trimming and settling
Gravel paths10 to 15%Compaction and rake loss
Stone base under pavers10 to 15%Compaction across lifts
Topsoil grading5 to 10%Low spots and contouring
Ready-mix concrete5%Spillage and grade variation
Playground fill10 to 20%Kick-out and level maintenance

Frequently Asked Questions

Multiply the length by the width by the depth (all in feet), then divide by 27. The full formula is: Cubic Yards = (Length x Width x Depth) / 27. If your depth is in inches, divide the inch value by 12 first to convert it to feet before multiplying.
There are exactly 27 cubic feet in one cubic yard. A cubic yard is a cube that measures 3 feet on each side, and 3 x 3 x 3 equals 27. To go the other way, multiply cubic yards by 27 to get cubic feet.
One cubic yard of mulch covers 162 square feet at 2 inches deep, 108 square feet at 3 inches deep, and 81 square feet at 4 inches deep. The general formula is: Coverage (sq ft) = 324 divided by the depth in inches.
Divide the number of cubic feet by 27. For example, 54 cubic feet divided by 27 equals 2 cubic yards. You can also use this calculator by setting length to your square footage, width to 1, and entering the depth.
It depends on the bag size. A 2 cubic foot bag requires 13.5 bags per cubic yard. A 1 cubic foot bag requires 27 bags, and a 0.5 cubic foot bag requires 54 bags. Divide 27 by the bag size in cubic feet to find the number of bags needed.
Square yards measure a flat area with two dimensions: length and width. Cubic yards measure volume using three dimensions: length, width, and depth. You need cubic yards whenever a material has a depth or thickness, such as mulch, gravel, or concrete.
Multiply the slab length by width by thickness (all in feet), divide by 27, then add 5 percent for spillage and grade changes. A 10 x 10 foot slab at 4 inches (0.333 feet) thick needs about 1.23 cubic yards before waste is added, or roughly 1.29 cubic yards total.
Yes. Add 5 to 10 percent for mulch and topsoil because material settles and edges need trimming. Add 10 to 15 percent for gravel or compacted base because compaction reduces the final volume. Concrete typically needs a 5 percent overage to account for spillage and uneven subgrades.
Yes. Use the shape buttons at the top of the calculator to select Circle, Triangle, Trapezoid, or one of the border shapes. For truly irregular areas, break the space into simpler shapes, calculate each one separately, and add the volumes together.
Bulk material is usually less expensive per cubic yard than bagged products once you need more than 2 or 3 cubic yards. However, delivery fees can shift the break-even point. Compare the total cost including delivery against the bag price at your local supplier to find the better deal for your project size.