Question

Ширина прямоугольного параллелепипеда равна 7 см, а высота 36/7 см, что составляет 9/14 длины. Найти объем прямоугольного параллелепипеда. Вот этот знак "/" означает черту дроби

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Calculating the Volume of a Rectangular Prism

To find the volume of a rectangular prism, we can use the formula:

Volume = Length × Width × Height

In this case, the length, width, and height of the rectangular prism are not explicitly given. However, we are given that the width is 7 cm and the height is 36/7 cm, which is 9/14 of the length.

Finding the Length of the Rectangular Prism

To find the length, we can use the relationship between the height and the length. Since the height is 9/14 of the length, we can express the length in terms of the height:

Length = (14/9) × Height

Calculating the Volume

Now that we have the length, width, and height in terms of the given values, we can calculate the volume using the formula:

Volume = Length × Width × Height

Substituting the expressions for length, width, and height:

Volume = (14/9) × Height × 7 × Height

Simplifying the expression:

Volume = 98/9 × Height^2

Substituting the Height

Substituting the given value for the height (36/7 cm) into the formula:

Volume = 98/9 × (36/7)^2

Calculating the value:

Volume = 98/9 × (36/7)^2 = 98/9 × (1296/49) = 98 × 1296 / (9 × 49) = 127008 / 441

So, the volume of the rectangular prism is 127008 / 441 cubic centimeters.