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Консультация № 196368
15.09.2019, 16:33
0.00 руб.
17.09.2019, 11:26
1
6
1
Здравствуйте! Прошу помощи в следующем вопросе:
Решить задачу.
Все рёбра правильной шестиугольной призмы равны. Вычислите длину большей диагонали призмы, если известно, что площадь боковой поверхности призмы равна 96 см2.
Решить задачу.
Все рёбра правильной шестиугольной призмы равны. Вычислите длину большей диагонали призмы, если известно, что площадь боковой поверхности призмы равна 96 см2.
Прикрепленные файлы:
Обсуждение
17.09.2019, 10:29
общий
это ответ
Здравствуйте, svrvsvrv!
Если площадь боковой поверхности правильной шестиугольной призмы равна, 96 см2, то площадь одной боковой грани в шесть раз меньше и составляет 96/6=16 (см2), а длина ребра призмы -- [$8730$]16=4 (см). БОльшая диагональ призмы является диагональю прямоугольника, одна сторона которого имеет длину 4 см, а вторая -- длину, равную диаметру окружности, описанной около основания призмы, то есть 4/sin(30[$186$])=8 (см) [1, с. 15]. Тогда искомая длина диагонали составляет
Литература
1. Цыпкин А. Г., Цыпкин Г. Г. Математические формулы. -- М.: Наука, 1985. -- 128 с.
2. Геометрия. 10 -- 11 классы. / Л. С. Атанасян и др. -- М.: Просвещение, 2009. -- 255 с.
Если площадь боковой поверхности правильной шестиугольной призмы равна, 96 см2, то площадь одной боковой грани в шесть раз меньше и составляет 96/6=16 (см2), а длина ребра призмы -- [$8730$]16=4 (см). БОльшая диагональ призмы является диагональю прямоугольника, одна сторона которого имеет длину 4 см, а вторая -- длину, равную диаметру окружности, описанной около основания призмы, то есть 4/sin(30[$186$])=8 (см) [1, с. 15]. Тогда искомая длина диагонали составляет
[$8730$](42+82)=[$8730$]80[$8776$]8,94 (см).
Литература
1. Цыпкин А. Г., Цыпкин Г. Г. Математические формулы. -- М.: Наука, 1985. -- 128 с.
2. Геометрия. 10 -- 11 классы. / Л. С. Атанасян и др. -- М.: Просвещение, 2009. -- 255 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
17.09.2019, 10:31
общий
Прошу извинить меня за беспокойство! Предлагаю дополнить сообщение, открывающее консультацию, текстом задания, который я набрал ниже.
Все рёбра правильной шестиугольной призмы равны. Вычислите длину большей диагонали призмы, если известно, что площадь боковой поверхности призмы равна 96 см2.
Все рёбра правильной шестиугольной призмы равны. Вычислите длину большей диагонали призмы, если известно, что площадь боковой поверхности призмы равна 96 см2.
Об авторе:
Facta loquuntur.
Facta loquuntur.
17.09.2019, 11:27
общий
Адресаты:
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
Тогда 
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