How to Measure Volume Without Contact

Volume is a key measurement used for liquids, gases, and solids. Unlike length, width, and height, which is measured directly, volume is derived from dimensions using formulas.
This article explains volume measurement fundamentals and non-contact measurement techniques. The KEYENCE VL Series 3D Scanner CMM rapidly captures 3D geometry and produces simple, non-contact volume calculations.

What is Volume?

Volume is the amount of space an object or substance takes up. The standard unit for volume is the cubic meter (m³). Mathematically, volume is found by integrating over the shape in 3D space, but in practice dedicated instruments are used to measure it.

For example, volume is used to measure oddly shaped raw materials, to check the size of food products, and to find an engine cylinder’s capacity. Capacity is simply how much a container can hold and is expressed in cubic meters.

How to Calculate Volume

Volume can be computed from formulas for certain shapes, but those formulas only apply to simple shapes like cubes, rectangular prisms, cylinders, and spheres. They do not work for complex shapes.

Volume of a cube

V: volume a: length of one side

V: volume a: length of one side

Volume of a rectangular prism

V: volume a: length (vertical) b: width (horizontal) h: height

V: volume a: length (vertical) b: width (horizontal) h: height

Volume of a prism/cylinder

V: volume S: base area h: height

V: volume S: base area h: height

Volume of a pyramid/cone

V: volume S: base area h: height

V: volume S: base area h: height

Volume of a sphere

V: volume r: radius

V: volume r: radius

Volume of a regular tetrahedron

V: volume a: length of one side

V: volume a: length of one side

Volume of a regular octahedron

V: volume a: length of one side

V: volume a: length of one side

Types of Volume Meters

Volume meters range from the traditional Japanese “masu” box to laboratory devices such as flasks, graduated cylinders, pipettes, and burettes. Non-contact methods include acoustic volume meters, which rely on sound pressure, and laser volume meters, which use laser light.

Common Methods for Measuring Volume

Buoyancy = weight of the displaced fluid

Buoyancy = weight of the displaced fluid

Archimedes' principle

The volume measurement method based on Archimedes' principle uses the physical law that "a body immersed in a fluid experience an upward buoyant force equal in magnitude to the weight of the fluid displaced by that body."
For example, when you get into a bathtub filled with water, the water that overflows is equal to the volume of your body. A common practical approach is to use a graduated cylinder: submerge the object in a liquid, note how much the liquid level rises, and the difference equals the object's volume.

Seed displacement method

This technique is like the Archimedes displacement method but uses seeds instead of a liquid to measure volume. It is suited for items that cannot be immersed in liquid, such as bread or confectionery. Other comparable techniques include the bead displacement method, which uses small beads as a pseudo-fluid, and the sand displacement method.

Laser volumeter

Archimedes-based volume measurement is precise but makes the object wet. Using seeds avoids wetting, yet soft items can be compressed and give wrong results. When those methods fall short, a laser volumeter is used. The device scans the object with lasers to measure distances and shape, allowing fast, contact-free volume measurements.

Acoustic volumeter

The acoustic volumeter is a non-contact method for measuring volume or capacity, commonly used for applications such as engine cylinder capacity. The system uses a speaker and a microphone to infer volume from sound pressure. The measuring device consists of two chambers: a reference chamber and a measurement chamber. A microphone and speaker are placed in the reference chamber. When the speaker at the interface between the chambers emits sound, the air in both chambers vibrates. The amplitude of these vibrations is inversely related to the volume or capacity and is used to determine the object's volume.

Challenges in Conventional Volume Measurement

Challenges of volume measurement using Archimedes' principle

Using Archimedes' method can give precise volumes with minimal equipment. However, because it requires a liquid, the object being measured can become wet, so porous items like sponges cannot be measured and food may raise hygiene concerns. Accurate readings require careful control of conditions (maintaining stable temperature and removing air bubbles).

Challenges of volume measurement using the seed displacement method

Seed displacement does not wet the object and can give volume measurements similar in accuracy to liquid methods. Still, soft items may be compressed and misread. Measurement results can also be affected by environmental factors and operator technique.

Challenges of volume measurement using a laser volumeter

Laser volumeters can work well. They do not touch the item, so nothing gets wet or damaged. They give quick 2D or 3D readouts and make it easy to quantify volume and shape. The downside is they can only measure what they can see, making large items or complex shapes hard to measure.

Solutions for Achieving Non-Contact Volume Measurement

Although many volume measurement methods exist, each have limitations described earlier.

The KEYENCE VL Series 3D Scanner CMM addresses those limitations by enabling noncontact volume measurement. The VL Series can perform a full 360° scan of an object in minutes and capture its 3D shape with high accuracy. Volume is then calculated directly from the scanned data.

Because the process is non-contact, complex shapes can be measured reliably.

Benefit 1: Accurate volume measurement of soft items

Contact-based methods can deform samples, making accurate volume measurement impossible for some items. Soft products are particularly challenging to measure precisely. KEYENCE’s VL Series 3D scanner CMM uses high precision optics for non-contact scanning, allowing accurate volume measurement.

Benefit 2: Measure internal volumes such as cylinder capacity

Cylinder capacity measurement for engines needs to be very accurate, and conventional methods could be imprecise. The KEYENCE VL Series measures dimensions with high accuracy and calculates cylinder capacity from the scan. It can scan large parts in their entirety in 3D, enabling fast, efficient inspections.

Using a 3D Scanner Enables Non-Contact, High-Accuracy, and Fast Volume Measurement

Volume measurement with conventional methods had many challenges, such as getting objects wet or causing deformation. With the KEYENCE VL Series 3D Scanner CMM, you can achieve easy, fast, high-accuracy, and non-contact volume measurement.

  • A 360° scan can be completed in minutes, significantly reducing measurement time.
  • Measuring volume without contact eliminates deformation, producing reliable, accurate measurements.
  • Confidently measure complex shapes that are difficult to measure with traditional methods.

With the KEYENCE VL Series 3D Scanner CMM, a scan is completed in minutes. It handles complex shapes and large parts, allowing one device to perform various volume measurements. This significantly reduces the time and effort for volume measurement and enables highly accurate inspections.

Contact us to learn more about how our advanced technology can help take your business to the next level.

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