Предмет: Математика, автор: vikanai200307

на окраску куба размером 3х3х3 требуется 3г краски. сколько граммов краски потребуется на покраску куба размером 9х9х9?
помогите пожалуйста, буду очень благодарна

jekadva: =81г

vikanai200307: но как вы получили?....

jekadva: Было: 6•3² = 54 см²?
А стало: 6•9² = 486 см²
Получаем, что площадь куба увеличилась в 486/54 = 9 раз, следовательно и расход краски возрастет в 9 раз.
3 • 9 = 27 грамма краски.

Ответ: 27 грамма краски потребуется на покраску куба размером 9×9×9.

Ответы

Автор ответа: Iryn95

1

Ответ:

27 г

Пошаговое объяснение:

Найдем площадь куба 3х3х3

S=6h²

h=3 ед

S=6*3²=54 ед²

Найдем площадь куба 9х9х9

S=6*9²=486 ед²

486:54= 9

Площадь куба 9х9х9 в 9 раз больше площади куба 3х3х3, значит краски потребуется 3*9=27 г

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