Предмет: Геометрия, автор: retty

найдите объем правильной четырехугольной призмы, вписанной в цилиндр, радиус основания которого равен корень из 8, а высота равна 7

Ответы

Автор ответа: 2Stupid

S - площадь основания, a - сторона квадрата (сторона основания призмы), d - диагональ квадрата (диагональ основания призмы).
$H= 7; \ V=S*H; \ d=2 sqrt{8}; \ a sqrt{2}=2 sqrt{8}; \ a=4; \ S= a^{2}=16; \ V=16*7=112$
Ответ: 112.

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