The Weight of The Eiffel Tower
The real Eiffel Tower (as seen above) is 300 meters high and weights 7.3 million killograms. The keychain, on the other hand, has a height of 3 centimeters. If we were able to make such a keychain proportionally from the original Eiffel Tower, the material being super thin wire, what would the keychain weight?
Important! Once you figure out the keychain, for examplw 12.7 killograms, the answer should be written as 12.7
The answer is 7.5.
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1 solution
Let's look at the keychain. How much times smaller is the distance between the keychain legs than the real legs? 10 000 times. So, the area between the legs is 10 000 x 10 000 = 100 000 000 times smaller. But the height of the keychain is smaller two, 10 000 times, so this means that it's volume is 1000 billions times smaller, so 1 trillion times. If the model is made from the same material, then the mass of the keychain would also be 1 trillion times smaller than the mass of the real tower.