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Консультация № 161295
24.02.2009, 16:15
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Еще одна математическая задачка:
Башня Эйфеля в Париже, высотой 300 м, из железа, которого пошло на нее 8 000 000 кг.
У моего знакомого есть точная модель знаменитой башни, весящая всего только один килограмм.
Какой она высоты? Выше стакана или ниже?
Башня Эйфеля в Париже, высотой 300 м, из железа, которого пошло на нее 8 000 000 кг.
У моего знакомого есть точная модель знаменитой башни, весящая всего только один килограмм.
Какой она высоты? Выше стакана или ниже?
Обсуждение
Неизвестный
24.02.2009, 16:37
общий
это ответ
Здравствуйте, Лысков Игорь Витальевич!
Согласно известной формуле m=[$961$][$215$]V масса любого предмета пропорциональна его объему. Значит, объем макета Эйфелевой башни у вашего знакомого в 8 000 000 раз меньше, чем объем истинной Эйфелевой башни. Если мы возьмем какой-либо куб, то его объем будет равен любому его измерению в третьей степени (V=a3). В связи с этим рискну предположить, что высота макета у вашего знакомого в 8 000 0001/3=200 раз меньше чем высота самой Эйфелевой башни. Следовательно, высота макета, по моей теории, будет равна 300/200=1,5 м. И я, честно говоря, слабо представляю стакан (даже пивной!) высотой в 1,5 м).
Такая же задача разбиралась в одной из книжек известного советского популяризатора науки Я. И. Перельмана.
Согласно известной формуле m=[$961$][$215$]V масса любого предмета пропорциональна его объему. Значит, объем макета Эйфелевой башни у вашего знакомого в 8 000 000 раз меньше, чем объем истинной Эйфелевой башни. Если мы возьмем какой-либо куб, то его объем будет равен любому его измерению в третьей степени (V=a3). В связи с этим рискну предположить, что высота макета у вашего знакомого в 8 000 0001/3=200 раз меньше чем высота самой Эйфелевой башни. Следовательно, высота макета, по моей теории, будет равна 300/200=1,5 м. И я, честно говоря, слабо представляю стакан (даже пивной!) высотой в 1,5 м).
Такая же задача разбиралась в одной из книжек известного советского популяризатора науки Я. И. Перельмана.
24.02.2009, 16:50
общий
Tit:
Макет выполнен из той же самой марки стали...
См. ответ Andrekk
Макет выполнен из той же самой марки стали...
См. ответ Andrekk
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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