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Using a graduated beaker, add water sufficent to totally immerse the object. Note the initial volume of the water without the object.
One way would be to get a container into which you could put the rock completely, fill it to the brim with water (without the rock in it), then put the rock in and measure the volume of the water that flowed out.
It depends on the way the question is asked. If you are dealing with a cubic or rectangular object, you measure the length, width, and height, and multiply them. If it is a spherical or irregularly shaped object, you could used water displacement to find its volume. If it's a liquid, you could use a graduated cylinder to measure its volume.
Yes. It doesnt have to be a irregular even though sometimes it is easier just to do the math... for a rectangular object. l x w x h= volume
Yes
The amount the water rises is dependent of the volume of water displaced by the object - thus it can be used to measure the volume of the immersed object. If the object did not immerse completely - if it floated - the displaced fluid could instead be used to calculate the relative density of the object - when combined with the total volume.
Irregularly shaped blood cells can cause problems with clotting and proper blood flow. Think of the sickle cell disease. Although you're asking about irregularly sized and not irregularly shaped blood cells, I would assume that similar problems would occur. If the blood cells were too large to allow proper and free movement I should think that clotting and the risks/pains associated with abnormal blood clotting could occur. It really depends on how large we're talking.
A batholith is a plutonic rock that forms in the Earth's crust. A large deposit of granite, diorite, or quartz monzonite are structures or landforms that could be a batholith.
This depends upon the phase of the material whose density you wish to find. Fir an irregularly shaped solid, you would have to find the volume using a graduated cylinder (to measure how much liquid it displaces) and then weigh it on a scale (probably a triple beam balance). A regularly shaped solid would not require a graduated cylinder, you could just get its measurements with a ruler. A liquid could be measured using a graduated cylinder and a scale. A gas could have its density relative to that of the air measured by observing its buoyancy vs. weight measured in a balloon. That is a bit more complicated.
Through displacement of another volume. For example, say you wish to measure the volume of an unknown object. Given a flask capable of measuring volume with reasonable precision, you could fill that flask with water up to a certain volume. Adding the unknown object and submerging it completely would "displace" the water, i.e. cause the water level in the flask to rise. According to the Archimedes Principle, the new volume on the flask subtracted by the old volume renders the total volume of the unknown.
According to legend, after having discovered in his bath how the volume and density of an irregularly shaped object could be measured, he shared his discovery by running out naked into the streets, shouting "Eureka!". Most of his many discoveries and theories he shared in a more traditional way, by writing about them. His many technical discoveries and applications were shared by applying them in practice, many of them in and for the benefit of his hometown of Syracuse.
This depends upon the phase of the material whose density you wish to find. Fir an irregularly shaped solid, you would have to find the volume using a graduated cylinder (to measure how much liquid it displaces) and then weigh it on a scale (probably a triple beam balance). A regularly shaped solid would not require a graduated cylinder, you could just get its measurements with a ruler. A liquid could be measured using a graduated cylinder and a scale. A gas could have its density relative to that of the air measured by observing its buoyancy vs. weight measured in a balloon. That is a bit more complicated.