To find the volume, first divide the shape into regular, simple shapes. Then use formulas to find the volumes of the smaller, regular shapes. Lastly, add up all the smaller areas to find the volume of the original shape.
If you actually have the figure and you don't mind getting it wet then Archimedes can help. He cried out "eureka" when he realised that if he put the figure in a bucket that was already full to the brim, then the water that spilled out would have exactly the same volume as the figure. He collected the spilled water carefully and put it in a measuring flask. Then he knew the exact volume of the figure.
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method usede to figure the volume of an irregular shaped object
You divide the shape into parts or pour a liquid into it
you cut it into regular solids then figure out those then add them together
By integration - you divide the figure into many thin slices, and calculate the volume of each slice individually. The volume of each slice, again, can be calculated by integration: divide it into thin rectangles, and calculate the area of each rectangle. If you have a irregular solid figure just immerse it in water and measure the displacement. a la Archimedes
The best way to find the volume of an irregular shape is to split it up into shapes that you know, find the volumes of those individual pieces, and then add up all of the volumes of the split pieces to get your total volume of the irregular shape.