Concrete Yield Calculator

Quick answer

A concrete yield calculator works out the volume a batch actually produces, using the ASTM C138 method. It divides the total weight of all the materials by the measured density, then by 27 for cubic yards. A 4,050 pound batch at 150 pounds per cubic foot yields exactly 1.00 cubic yard.

Updated 2026-10-17By Shakeel Muzaffar | Reviewed by Prof. Dr. Khalil Mudassar, PhD
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Concrete and Cement
lb
Mass of cement in the batch. Also used for the cement content.
lb
Mass of mixing water in the batch.
lb
Mass of sand in the batch.
lb
Mass of gravel or stone in the batch.
lb
Mass of any admixtures. Leave 0 if none.
pcf
Fresh density from the ASTM C138 test, in pounds per cubic foot. Normal concrete is about 140 to 150.
cu yd
The volume the batch was designed to make, for the relative-yield check. Leave blank to skip.

Yield (cubic yards)

—
Yield (cubic feet)—
Relative yield—
Total batch weight—
Cement content—

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How to Use the Concrete Yield Calculator

  1. Enter the batch weights: cement, water, sand, gravel and any admixtures, in pounds.
  2. Enter the measured density (unit weight) from the ASTM C138 test, in pounds per cubic foot.
  3. Optionally enter the designed yield to get the relative yield, the key quality-control number.
  4. Read the yield in cubic yards and feet, the relative yield, and the cement content.

Here is what each result means:

ResultWhat it means
Yield (cubic yards)The actual volume of concrete the batch produced.
Yield (cubic feet)The same yield in cubic feet (total weight divided by density).
Relative yieldActual yield divided by designed yield. 1.00 is on target.
Total batch weightThe sum of all the material weights entered.
Cement contentCement weight divided by yield, in pounds per cubic yard.

What Is Concrete Yield?

Concrete yield is the volume of concrete a batch actually produces from known quantities of materials. It is measured by the ASTM C138 gravimetric method: weigh the fresh concrete in a container of known volume to get the density, then work the yield back from the total batch weight.

It matters because yield tells you whether a batch delivered the volume it was supposed to. A short yield means a truck runs out before the pour is finished; an over-yield can signal a lean or under-dense mix. Batch plants, inspectors and concrete students use it as a basic quality-control check, alongside the air content the same test provides.

How the Concrete Yield Calculator Works

Yield (cubic yards)
Y = WD27

Yield is the total weight of all the materials divided by the fresh density, which gives the volume. Dividing by 27 converts cubic feet to cubic yards. The relative yield then compares that to the design.

  1. Add the weights of cement, water, sand, gravel and admixtures for the total batch weight.
  2. Divide by the measured density for the yield in cubic feet, and by 27 more for cubic yards.
  3. Divide the yield by the designed yield for the relative yield.
  4. Divide the cement weight by the yield for the cement content per cubic yard.
Relative yield
Ry = YYd
Worked example: 4050 lb batch at 150 lb per cubic foot
Y = 405015027 = 40504050 = 1.00

Concrete Yield Example

Suppose a batch has 600 lb cement, 300 lb water, 1,350 lb sand and 1,800 lb gravel, with a measured density of 150 pounds per cubic foot and a designed yield of 1.00 cubic yard.

Calculation: total weight = 4,050 lb. Yield = 4,050 / (150 x 27) = 1.00 cu yd, so the relative yield is 1.00 and the batch is on target. Cement content = 600 / 1.00 = 600 lb per cu yd.

If the density had measured 156 instead, the yield would fall to about 0.96 cubic yards, a short yield that would leave a pour short and point to a batching or air-content problem.

Over-Yield vs Short Yield: Reading the Result

The relative yield is the number to watch. It compares the volume the batch made to the volume it was designed to make, and each direction tells you something.

Relative yieldMeaningLikely cause
About 1.00On targetBatching and density as designed
Above 1.02 (over-yield)More concrete than designedLow density, high air, or a lean mix
Below 0.98 (short yield)Less concrete than designedHigh density, low air, or a batching error

A short yield is the one that bites: the truck runs out before the pour is done. An over-yield wastes a little material but can hint that the concrete is lighter, and lower strength, than intended.

Factors That Change Yield

Measured Density

Yield is weight divided by density, so an inaccurate density throws off the result. The density must come from a properly filled, consolidated and struck-off measure.

Air Content

More entrained or entrapped air lowers the density and raises the yield. The same ASTM C138 test gives the air content, which is why yield and air are read together.

Batch Weights

A wrong weight on any material changes the total and the yield. Use the actual batched weights, not the design weights, for a real check.

Moisture in Aggregate

Free water on sand and gravel adds to the water and the weight. Batch plants correct for it; if you do not, the yield and water-cement ratio drift.

When to Use a Yield Check

Batch-plant Quality Control

Confirm each mix produces the designed volume and cement content before it ships in quantity.

Checking a Delivery

If a pour ran short, a yield check shows whether the batch made less than ordered.

Learning and Training

The ASTM C138 calculation is a standard exercise for concrete students and technicians; this tool does the arithmetic so you can focus on the method.

Common Mistakes in a Yield Calculation

1. Using Design Weights, Not Batched Weights

A yield check compares what was actually batched. Using the design weights just returns the design.

2. a Poor Density Measurement

An under-filled or under-consolidated measure gives a low density and a false high yield. Follow the test method.

3. Forgetting Admixtures and Water on Aggregate

Leaving out admixtures or the free moisture on aggregate understates the total weight.

4. Mixing Up Yield and Relative Yield

Yield is a volume; relative yield is a ratio to the design. Report the right one.

5. Treating It as an Acceptance Test

This is the arithmetic. Acceptance needs the full ASTM C138 procedure with calibrated equipment.

Accuracy and Limitations

The arithmetic is exact for the weights and density you enter; the result is only as good as the measured density and the batch weights.

What it calculates accurately

  • Yield in cubic yards and feet from the weights and density
  • Relative yield against a designed yield
  • Cement content per cubic yard

What it does not account for

  • Errors in the measured density or the batch weights
  • The air content, which the full ASTM C138 test also reports
  • Temperature, consolidation and operator technique
  • Acceptance criteria, which come from the specification

How We Calculate the Yield

Method
ASTM C138 gravimetric: yield = total batch weight / density; relative yield = yield / designed yield; cement content = cement weight / yield.
Inputs used
Cement, water, fine and coarse aggregate and admixture weights, the measured density, and an optional designed yield.
Conversions
Yield in cubic feet = weight / density; cubic yards = that divided by 27. Weights in pounds, density in pounds per cubic foot.
Relative yield
Actual yield divided by the designed yield; about 1.00 is on target, below 0.98 short, above 1.02 over.
Rounding
Yield and relative yield to three decimals; weight and cement content to whole numbers.
Edge cases
Zero total weight or a blank density returns a prompt; a non-positive density is blocked.
Standard
ASTM C138/C138M, Density, Yield and Air Content (Gravimetric) of Concrete. See Sources.
Last reviewed
2026-10-18.

Frequently Asked Questions About the Concrete Yield Calculator

How do you calculate concrete yield?

Divide the total weight of all the batch materials by the measured fresh density to get the yield in cubic feet, then divide by 27 for cubic yards. For example, 4,050 pounds at 150 pounds per cubic foot is 1.00 cubic yard.

What is relative yield?

Relative yield is the actual yield divided by the designed yield. A value of 1.00 means the batch made exactly the designed volume; below about 0.98 is a short yield and above 1.02 is an over-yield.

What is ASTM C138?

ASTM C138 is the standard test method for the density, yield and air content of fresh concrete, measured by weighing a container of known volume. This calculator does its yield arithmetic; the full test needs calibrated equipment.

What causes a short yield?

A short yield usually comes from a higher density than designed, often from low air content or a batching error. The batch makes less volume than ordered, so a pour can run short.

What causes an over-yield?

An over-yield comes from a lower density than designed, often from high air content or a lean mix. The batch makes more volume, which wastes a little material and can mean lower strength.

How do I find the cement content?

Divide the cement weight in the batch by the yield in cubic yards. If a batch with 600 pounds of cement yields 1.00 cubic yard, the cement content is 600 pounds per cubic yard.

What density should concrete be?

Normal-weight concrete is about 140 to 150 pounds per cubic foot fresh. Lightweight mixes are lower. Use the density you actually measured, not a book value, for a real yield.

Why does air content matter for yield?

Air lowers the density, which raises the yield. Because the same ASTM C138 test gives density, yield and air content, a yield that is off often shows up as an air-content problem.

Is my data saved?

No. The calculation runs entirely in your browser and nothing you enter is stored or sent anywhere.

Sources

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This calculator is for general and educational use and is not a substitute for the ASTM C138 test performed with calibrated equipment. Results depend on an accurately measured density and true batch weights. For acceptance, compliance or disputes, follow the full standard and your project specification. Spotted an error? Let us know.