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How to Calculate Cubic Yards of Concrete

The formula for cubic yards of concrete, a shortcut for slabs, how to handle round and triangular shapes, and worked examples you can check.

Key takeaways

  • Cubic yards = length × width × thickness, all in feet, divided by 27.
  • For a slab, square feet × thickness in inches ÷ 324 gives the same answer.
  • Add an allowance before you order, because running short mid-pour is a real problem.

Multiply length × width × thickness, all in feet, then divide by 27. There are 27 cubic feet in a cubic yard, because a yard is 3 feet and 3 × 3 × 3 = 27.

Most mistakes come from thickness, which is usually in inches. Divide inches by 12 before you multiply.

Calculator

  • Concrete needed1.56 cubic yards42 cubic feet, including your extra allowance
  • 80 lb bags70 bagsAbout 5,600 lb to move and mix
  • 60 lb bags94 bags
  • 40 lb bags140 bags

Nothing you enter leaves your browser. Bag counts use QUIKRETE's published yields. Other brands can differ, so check the bag.

Show the math with your numbers
  1. Volume: 10 × 12 × (4 ÷ 12) = 40 cu ft
  2. With extra: 40 × 1.05 = 42 cu ft
  3. Yards: 42 ÷ 27 = 1.56
  4. 80 lb bags: 42 ÷ 0.60, rounded up to 70
What if: slab thickness
Slab thicknessConcrete needed
3.5 in1.36 cubic yards
4 in (yours)1.56 cubic yards
5 in1.94 cubic yards
6 in2.33 cubic yards
8 in3.11 cubic yards

Worked example

A driveway section 20 feet long, 10 feet wide and 4 inches thick:

  1. Thickness in feet: 4 ÷ 12 = 0.333
  2. Cubic feet: 20 × 10 × 0.333 = 66.7
  3. Cubic yards: 66.7 ÷ 27 = about 2.47

A shortcut for slabs

Cubic yards = square feet × thickness in inches ÷ 324

The 324 comes from 27 × 12. For the example above: 200 × 4 ÷ 324 = 2.47.

Other shapes

Find the shape's area in square feet, multiply by thickness in feet, then divide by 27.

Shape Area formula Example, 4 inches thick Cubic yards
Rectangle length × width 10 × 12 ft 1.48
Circle 3.14 × radius² 10 ft across (5 ft radius) 0.97
Triangle ½ × base × height 10 ft base, 8 ft height 0.49

For an unusual shape, split it into rectangles, circles and triangles, then add the results. For footings, columns and posts, use these tools instead:

Cubic yards to bags

Using QUIKRETE's published yields, one cubic yard takes about 45 bags of 80 lb, 60 of 60 lb, or 90 of 40 lb. See how many bags of concrete you need.

The mistake that matters most

Entering inches as feet. A 4-inch slab entered as "4 feet" comes out 12 times too large. If your answer looks far off, check this first.

Here's a quick way to check a slab:

Area at 4 inches thick About
81 sq ft 1 cubic yard
162 sq ft 2 cubic yards
405 sq ft 5 cubic yards

Frequently asked questions

How many cubic feet are in a cubic yard?
How do I convert inches of thickness to feet?

Divide by 12. So 4 inches is 0.333 feet, 5 inches is 0.417 feet, and 6 inches is 0.5 feet.

How much extra should I order?

There's no single rule we can cite, because it depends on how even your base is and how accurate your forms are. We default to 5% as a planning figure. Ask your supplier what they suggest for your job.

How much area does a cubic yard cover?

At 4 inches thick, one cubic yard covers 81 square feet. At 6 inches, it covers 54 square feet.

Sources

We use primary sources where we can: building codes, federal rules and manufacturer documents. Read our editorial standards.