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How to Find the Volume of an Object Submerged in Water?

Published in Volume measurement 4 mins read

To find the volume of an object submerged in water, especially one with an irregular shape, the standard approach is the volume displacement method.

Understanding the Volume Displacement Method

The volume displacement method is a straightforward technique used to measure the volume of solid objects, particularly those with irregular shapes that cannot be easily calculated using standard geometric formulas (like length x width x height).

As highlighted by the reference, the volume of an irregular shaped object is typically calculated with the volume displacement method. With this method, an object is dunked into a known volume of water, and the water level will increase. The amount in which the water level increases, is the volume of the dunked object.

Essentially, when an object is placed into a liquid, it pushes aside, or displaces, a volume of liquid equal to its own volume. By measuring the volume of the displaced liquid, you can determine the volume of the object.

Step-by-Step Process

Measuring the volume of an object using water displacement is simple and requires basic tools:

  1. Gather Your Materials: You will need a container with volume markings (like a measuring cup, graduated cylinder, or beaker), enough water to cover the object, and the object itself.

  2. Add Water to the Container: Pour a specific amount of water into the measuring container. Ensure there is enough room for the water level to rise significantly when the object is added, but not so much that it overflows.

  3. Measure the Initial Water Level: Note the volume of water in the container before placing the object inside. This is your initial volume (V₁).

  4. Submerge the Object: Carefully place the object into the container. Ensure the object is fully submerged below the water surface.

  5. Measure the Final Water Level: Note the new volume of water in the container after the object has been fully submerged. This is your final volume (V₂).

  6. Calculate the Volume: Subtract the initial water volume from the final water volume. The difference is the volume of the submerged object.

    Volume of Object = Final Water Level (V₂) - Initial Water Level (V₁)

Why This Method Works

This method is based on the principle that a submerged object displaces a volume of fluid equal to its own volume. When the object is placed in the water, it occupies space previously taken by the water. The displaced water causes the overall water level to rise. The increase in the water's volume is exactly equal to the volume of the object that was placed in it.

Practical Tips

  • Use a container with clear, accurate volume markings for best results.
  • For small objects, a narrow container like a graduated cylinder will show a more significant and easier-to-read rise in water level compared to a wide container.
  • Ensure the object is fully submerged and doesn't absorb water or contain air pockets, which could affect the accuracy.
  • Read the water level at the bottom of the meniscus (the curve of the water surface).

By following these steps, you can accurately determine the volume of various objects by observing how much water they displace.

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