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Консультация № 197688
04.02.2020, 22:40
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Здравствуйте! Прошу помощи в следующем вопросе:
Измерения прямоугольного параллелепипеда АВCDA1B1C1D1 равны 6м, 12м, 24м. Вычислите объём призмы С1D1DB1A1A.
Измерения прямоугольного параллелепипеда АВCDA1B1C1D1 равны 6м, 12м, 24м. Вычислите объём призмы С1D1DB1A1A.
Обсуждение
09.02.2020, 18:37
общий
это ответ
Здравствуйте, svrvsvrv!
Объём прямоугольного параллелепипеда равен произведению его длины, ширины и высоты, то есть в данном случае - 6[$183$]12[$183$]24 = 1728 м[sup]3[/sup]. Искомая призма получается сечением параллелепипеда плоскостью AB[sub]1[/sub]C[sub]1[/sub]D на две половины, поэтому её объём равен 1728/2 = 864 м[sup]3[/sup].
Объём прямоугольного параллелепипеда равен произведению его длины, ширины и высоты, то есть в данном случае - 6[$183$]12[$183$]24 = 1728 м[sup]3[/sup]. Искомая призма получается сечением параллелепипеда плоскостью AB[sub]1[/sub]C[sub]1[/sub]D на две половины, поэтому её объём равен 1728/2 = 864 м[sup]3[/sup].
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