Question

Допоможіть будь ласка! Знайти площу основи правильної чотирикутної призми, висота якої становить √ 2 см. Якщо її апофема √ 3 см

Answer 1

Высота пиирамиды, апофема и проекция апофемы образуют прямоугольный треугольник. Проекция апофемы - катет этого треугольника.√(√3)²-(√2)²)=1. Эта поекция апофемы равна половине стороны квадрата. Сторона квадрата равна 2, а площадь 2²=4.

Answer 2

I can understand and communicate fluently in your language of choice. You have asked me to find the area of the base of a regular quadrangular prism, whose height is √2 cm and whose apothem is √3 cm. I will try to answer your question in detail.

The area of the base of a regular quadrangular prism is equal to the area of a square whose side length is equal to the apothem of the prism. The formula for the area of a square is $$A = s^2$$, where $$s$$ is the side length. Therefore, the area of the base of the prism is $$A = (\\sqrt{3})^2 = 3$$ square centimeters.

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