do you think that determining the volumes of your metal samples by measuring their dimensions and calculating would be more accurate or less accurate than determinging these volumes by water displacement?

I will be happy to critique your thinking. You need to cite the instrument you would measure with..

To determine the volumes of metal samples, measuring their dimensions and calculating the volume can be an accurate method. However, determining the volumes using water displacement generally provides a more accurate result. Here's an explanation of each approach:

1. Measuring dimensions and calculating volume: This method involves measuring the length, width, and height (or diameter) of the metal samples and multiplying these measurements to calculate the volume. This method relies on the assumption that the shape of the metal samples is regular and can be approximated using simple geometric shapes like cubes, cylinders, or prisms. If the metal samples have irregular shapes, this method may not provide accurate results.

To use this method, follow these steps:
a. Measure the dimensions (length, width, and height) of the metal sample.
b. Use the appropriate formula to calculate the volume based on the shape of the sample (e.g., volume of a cube = length x width x height).
c. Multiply the measured dimensions to calculate the volume.

2. Water displacement method: This method is based on Archimedes' principle, which states that an object submerged in a fluid displaces an amount of fluid equal to its own volume.

To use this method, follow these steps:
a. Prepare a container partially filled with water.
b. Measure the initial volume of water in the container accurately.
c. Submerge the metal sample fully into the water, making sure it doesn't touch the sides or bottom of the container.
d. Measure the new volume of water in the container, which will increase due to the displacement caused by the metal sample.
e. Calculate the difference between the final and initial volumes of water to determine the volume of the metal sample.

By using the water displacement method, you can obtain a more accurate measurement, especially for irregularly shaped or complex metal samples. It eliminates the need for approximations based on geometric formulas and considers the precise volume of the metal sample.