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You can calculate the cu.ft. volume if the oddity of the oddly shape is dimensionally defined to some reference point.

Is it bulged, six-sided, concave or what?

Otherwise just fill it with a liquid of known specific gravity and weigh the added difference (leak-proof it firstly).

In this case volume will be = weight difference divided by specific gravity.

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Q: How to find cubic feet of oddly shaped box?
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