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The answer depends on the nature, size and material.

If the shape is very large you can only make rough estimates.

If the shape is reasonably small, then

if the object is known to be, or suspected of being, hollow:

  • if it is not made from uniform material you haven't a hope.
  • if it is uniform, you may be able to work out the volume if you know or can sample the density and measure its mass. Volume = Density/Mass.

If the object is known to be solid:

  • if it is reasonably small and you need to find some fluid in which it is not soluble, then you can use the displacement method. Partially fill a measuring jar (or container) with the fluid and mark its volume. Gently immerse the object in the fluid and mark the new volume. The difference between the two marked volumes is the volume of the shape. If the object floats in the fluid, you can weight it down with any mass whose volume is known.
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10y ago

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