Hi Naziya, some considerations on glass density measurements:
1-If you have blocks of glass, you must consider that if there are bubbles in it (air or other gases bubbles) you´ll measure a lower density value than the true value.
So, in this case tou should choose those pieces without bubbles after careful inspection.
2- You can use both methods with blocks and the sources of error are different.
3-With Archimedes, for example you have to consider temperature of the liquid and disolved gases in the used liquid (water for example). One error source is that from surface tension effects on the wire that suspends the sample. This wire should be very clean and should have the minimum possible diameter.
Other suggestion is that when you sink the sample in the liquid it must be done very carefully so that small air bubbles don not remain between the sample and sample holder. (this is other error source)
4-With powders you can do pycnometry. You have the advantage of having no bubbles. For helium pycnotry you need at least several grams of sample. If you do a liquid pycnometry , increased surface area coul enhance disolution of some components of your glass.
5-If you have porous glasses, measuring with Archimedes using water (enters open porosity) and mercury (does not enter open porosity) will give you information on porosity.
So, this is not a definitive answer to your question, but I hope this facts will help you to answer by yourself.
About errors possibly associated with the density-measurement of non-porous bulk solid samples by the Archimedes method, and on demoting their influence; you may want to check my post at:
For the proper application of Archimedes method to access glass density, please check answers given to the following related discussion: https://www.researchgate.net/post/Use-of-Benzene-in-determining-the-density-of-glasses-by-archimedes-principle
For small glass samples, you may want to consider the 'method of heavy liquids', using a density gradient column, which I have briefly presented elsewhere at this forum: https://www.researchgate.net/post/How_do_I_measure_the_density_of_small_quantities_of_material_glass