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Консультация № 197698
04.02.2020, 23:25
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Длина высоты правильной четырёхугольной пирамиды равна 15см, а периметр основания - 16см. Вычислите объём пирамиды.
Длина высоты правильной четырёхугольной пирамиды равна 15см, а периметр основания - 16см. Вычислите объём пирамиды.
Обсуждение
05.02.2020, 15:50
общий
Адресаты:
Если четырёхугольная пирамида - правильная, то что лежит в основании?
09.02.2020, 20:35
общий
это ответ
Здравствуйте, svrvsvrv!
Поскольку пирамида - правильная, то в её основании лежит квадрат, все четыре стороны которого равны между собой. Их длина составит 16/4 = 4 см (четверть от периметра), поэтому площадь основания будет равна 4[$183$]4 = 16 см2, а объём пирамиды - 1/3[$183$]16[$183$]15 = 80 см3.
Поскольку пирамида - правильная, то в её основании лежит квадрат, все четыре стороны которого равны между собой. Их длина составит 16/4 = 4 см (четверть от периметра), поэтому площадь основания будет равна 4[$183$]4 = 16 см2, а объём пирамиды - 1/3[$183$]16[$183$]15 = 80 см3.
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