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Simple enough; as it's practically impossible to measure the outside dimensions of an object that complex to calculate it, you need to find out how much fluid it displaces.

Fill a calibrated beaker or bowl (one that has measurement lines along the side) big enough to hold your object, in this case a crown. Make a note of the original volume of fluid.

Submerge the crown in the fluid and note what the new volume, then subtract the original volume from the new volume and that's your answer.

Make sure there aren't any bubbles clinging to your crown or it'll throw off your measurements.

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Q: How could you measure the volume of a crown?
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