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Move the jet onto an small aircraft carrier, ferry, or other ship big enough to hold it. Paint a mark on the hull of the ship showing the water level. Then remove the jet. The ship will rise in the water.

Now load the ship with items of known weight (100 pound bales of cotton, whatever) until it sinks to exactly the line you painted on the hull. The total weight of the items will equal the weight of the jet.

Alternatively, you can save effort by computing the volume of the ship between the two water levels, and multiplying that by the density of water.

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Q: How do you weigh a jumbo jet without using scales?
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