How do you measure the volume of an irregular solid?

How do you measure the volume of an irregular solid?

• A. Use the displacement method in a graduated cylinder.
• B. Measure the length, width, and height with a ruler.
• C. Weigh the object in air and in water.
• D. Use a volumetric flask.

Answer: (A)

Measuring the volume of an irregular solid is best done by displacement of a liquid. Since irregular objects don’t have simple dimensions you can multiply, you can’t rely on a ruler to get their volume. Instead, use a graduated cylinder filled with a liquid (usually water) to a known starting volume. Submerge the object completely, making sure it doesn’t trap air and doesn’t contact the cylinder walls, then read the new liquid volume at eye level. The volume of liquid that was displaced equals the volume of the solid, so you find it by subtracting the initial volume from the final volume. This method directly gives the solid’s volume without needing its shape to be regular. Other approaches aren’t as straightforward for irregular shapes: measuring length, width, and height works only for regular geometries; weighing in air and in water involves density calculations rather than a direct volume measurement; and a volumetric flask is designed for liquids, not solid objects.

Measuring the volume of an irregular solid is best done by displacement of a liquid. Since irregular objects don’t have simple dimensions you can multiply, you can’t rely on a ruler to get their volume. Instead, use a graduated cylinder filled with a liquid (usually water) to a known starting volume.

Submerge the object completely, making sure it doesn’t trap air and doesn’t contact the cylinder walls, then read the new liquid volume at eye level. The volume of liquid that was displaced equals the volume of the solid, so you find it by subtracting the initial volume from the final volume.

This method directly gives the solid’s volume without needing its shape to be regular. Other approaches aren’t as straightforward for irregular shapes: measuring length, width, and height works only for regular geometries; weighing in air and in water involves density calculations rather than a direct volume measurement; and a volumetric flask is designed for liquids, not solid objects.