Question

СУММА ВСЕХ ДЛИН РЕБЕР ПРЯМОУГОЛЬНОГО ПАРАЛЛЕПИПЕДА РАВНА 96 СМ, ДВА ЕГО ИЗМЕРЕНИЯ -7 СМ И 12 СМ. НАЙДИТЕ ТРЕТЬЕ ИЗМЕРЕНИЕ ПАРАЛЛЕПИПЕДА

Answer 1

Ответ:

у прямоугольного паралеллепипеда по 4 одинаковых ребра, следовательно:

4 * (7 + 12) = 76 см

(96 - 76): 4 = 5 см.

Ответ. Третье измерение параллелепипеда = 5 см.

Answer 2

Finding the Third Dimension of a Rectangular Prism

To find the third dimension of a rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:

Volume = Length x Width x Height

In this case, we are given that the sum of all the lengths of the edges of the rectangular prism is 96 cm, and two of its dimensions are 7 cm and 12 cm.

Let's denote the third dimension as 'h'. Using the formula for the sum of all the lengths of the edges, we can set up the following equation:

2(Length + Width + Height) = 96

Substituting the given values, we have:

2(7 + 12 + h) = 96

Simplifying the equation, we get:

38 + 2h = 96

Now, let's solve for 'h':

2h = 96 - 38

2h = 58

h = 58/2

h = 29

Therefore, the third dimension of the rectangular prism is 29 cm.