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It depends on the shape.

There are relatively straightforward formulae for a sphere, cylinder, cone, prism (including cuboid), pyramid. Less simple formulae for parallelepipeds, ellipsoids and perhaps complex ones for other simple shapes. And then you have seriously complex 3-d shapes (a lump of putty) for which there are virtually no direct formulae.

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Q: What is the volume In a 3d shape?
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