Question

Дана правильная пирамида SABCD, высота равна 12 см, основание равно 18 см, найти апофему

Answer 1

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Answer 2

Finding the Apothem of a Pyramid

To find the apothem of a pyramid, we need to know the height and the base length of the pyramid. In this case, we are given a right pyramid SABCD with a height of 12 cm and a base length of 18 cm. We need to find the apothem.

The apothem of a pyramid is the perpendicular distance from the center of the base to one of the triangular faces. It can be calculated using the formula:

Apothem = √(h^2 + (b/2)^2)

Where: - h is the height of the pyramid - b is the base length of the pyramid

Substituting the given values into the formula, we can calculate the apothem:

Apothem = √(12^2 + (18/2)^2)

Calculating this expression, we find:

Apothem = √(144 + 81) = √225 = 15 cm

Therefore, the apothem of the pyramid SABCD is 15 cm.