Предмет: Геометрия, автор: мариякукарача

30 БАЛЛОВ!!!ПОМОГИТЕ!!!
Найдите площадь полной поверхности правильной четырехугольной пирамиды, каждое ребро которой равно 2 см.

Ответы

Автор ответа: tanyabog
4
S = S (бок) + S (основания)
S (основания) = 2*2 = 4 см²
S (бок) = 1/2 * Р (основания) * h (апофему - высоту боковой грани)
h = √2²-1² = √3 - по теореме Пифагора
Р (основания) = 4 * 2 = 8 см²
S (бок) = 1/2 * 8 * √3 = 4√3 см
S (полная) = 4√3 + 4 = 4(√3 + 1)
Ответ: 4(√3 +1)

kolobok1431: Р(основания) = 2 * 4 = 8, а у вас 4
tanyabog: откуда 4? стороны основания равны 2, это квадрат, так как это правильная четырехугольная пирамида
kolobok1431: квадрат со стороной 2 см. Р - это периметр основания, который нужен для нахождения S(бок) Р = 2 см + 2 см + 2см + 2 см = 8 см Но не 4! У вас ошибка!
tanyabog: Спасибо) сейчас исправлю
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