Question

Abcda1b1c1d1- прямоугольный параллелепипед ab1=ad, bd=14см, aa1=2см. найдите объем параллелепипеда

Answer 1

Только ради милой авы)  В треугольнике D1BD ,угол BDD1=90 градусов, находим D1B по теореме Пифагора. D1B=корень из(12^2+2^2)=корень из(148). Сумма квадратов трёх измерений равна D1B^2=B1D^2. D1B^2=A1B1^2+BB1^2+B1C1^2=AB1^2+B1C1^2=2AB1^2, получается B1C1=корень из(78). AB1=B1C1, AB1^2=A1B1^2+AA1^2, отсюда A1B1=корень из(70). V=корень из(70*74*4)=корень из(20720). Вероятно, ошибся в вычислениях, но суть правильная

Answer 2

Calculation of the Volume of a Rectangular Parallelepiped

To find the volume of a rectangular parallelepiped, we need to know the lengths of its three sides. In this case, we are given the following information:

- Side AB1 = AD = 2 cm - Side BD = 14 cm

To calculate the volume, we can use the formula:

Volume = Length × Width × Height

In a rectangular parallelepiped, the length, width, and height are the lengths of its three sides. In this case, the length is AD, the width is BD, and the height is AB1.

Substituting the given values into the formula, we have:

Volume = AD × BD × AB1

Now, let's substitute the given values:

Volume = 2 cm × 14 cm × 2 cm

Calculating the product, we get:

Volume = 56 cm³

Therefore, the volume of the rectangular parallelepiped is 56 cm³.

Please note that the search results did not provide direct information about the given values. However, the formula and calculation provided are based on the general principles of finding the volume of a rectangular parallelepiped.