Using a graduated beaker, add water sufficent to totally immerse the object. Note the initial volume of the water without the object.
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
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.
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.
Yes
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.
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.
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.
If its regular (geometric shaped) you could just measure it with a ruler using the formula for the shape in question. Irregular shaped objects can be submerged in water. The difference in the water level before and after submersion equals the volume of the object.length X width X height
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.
To find the volume of an irregular object you may use water displacement. This is basically measuring an amount of water in a graduated cylinder, adding the object, and seeing how much the water level rises. Since 1mL=1cm3, the difference in the two water levels is the volume of the object in cubic centimeters.
Immerse the object in water, and measure the increase in the volume of the water. If you know the dimensions of the object, you could work out several cross sections by Simpson's rules, then the volume by applying Simpson's rules to the series of cross sections. (An approximate method, improving in accuracy with more measurements) Create a computer surface model of the object by scanning with a laser. Calculate the volume of the object using CAD modelling package or similar program
Density = mass of an object divided by the volume of that object. Its unit is mass per unit volume.