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Eiffel tower - science puzzle

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The Eiffel tower in Paris has including the tv antenna an height of 321 meter. It is made out of 7 million kg steel. Somebody would like to build a scale model of this tower with a weight of 1 kg. How tall will this scale model be? Eiffel tower

Answer

If the scale model weights 1 kg, it will have an height of 1,68 meter.