Предмет: Геометрия, автор: RaiSskaya

В правильной треугольной пирамиде боковые ребра наклонены к основанию под углом 60 градусов, длина бокового ребра равна 8. Найдите V пирамиды

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Автор ответа: Аноним

0

высота пирамиды=8*sin60=8*v3/2=4v3
высота основания (треугольника)=8/2+2=6
сторона основания=6/(v3/2)=6*2/v3=12/v3
объём=4v3*(12/v3)^2/(4v3)=144/3=48

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