Question

В правильной четырехугольной пирамиде сторона основания равна 6корень2 а боковое ребро равно 10 см найдите объём пирамиды

Answer 1

Это двадцать знаков.

Answer 2

Calculation of the Volume of a Pyramid

To find the volume of a pyramid, we need to know the length of the base and the height of the pyramid. In this case, we are given that the length of the base (side of the square base) is equal to 6√2 and the length of the lateral edge (height of the pyramid) is equal to 10 cm.

The formula to calculate the volume of a pyramid is:

Volume = (1/3) * Base Area * Height

Since the base of the pyramid is a square, the base area can be calculated by squaring the length of one side of the base.

Let's calculate the volume of the pyramid using the given measurements:

1. Calculate the base area: - The length of one side of the base is 6√2. - The area of a square is calculated by squaring the length of one side. - Therefore, the base area is (6√2)^2 = 72 square units.

2. Calculate the volume: - The height of the pyramid is 10 cm. - Using the formula, the volume is (1/3) * 72 * 10 = 240 cubic units.

Therefore, the volume of the pyramid is 240 cubic units.

Please note that the units used in the calculation are not specified in the question, so the volume is given in generic cubic units.