Question

сумма длин всех ребер прямоугольного паралелепипеда равна 104 см а два его измерения 8 см и 12 см.найдите третье измерение параллелепипеда СРОЧНО,ПОЖАЛУЙСТА​

Answer 1

L = 4 · (a + b + c) = 104 см - сумма длин всех рёбер

а + b + c = 104 : 4 = 26 см - сумма трёх измерений

а = 8 см - первое измерение

b = 12 см - второе измерение

с = 26 - (8 + 12) = 26 - 20 = 6 см - третье измерение

Ответ: 6 см.

Answer 2

Finding the Third Dimension of a Rectangular Parallelepiped

To find the third dimension of the rectangular parallelepiped, we can use the given information about the sum of the lengths of all edges and two of its measurements.

Given: - Sum of the lengths of all edges of the rectangular parallelepiped = 104 cm - Two measurements of the rectangular parallelepiped = 8 cm and 12 cm

We can use the formula for the sum of the lengths of all edges of a rectangular parallelepiped, which is given by: Sum of lengths of all edges = 4 * (length + width + height)

Calculating the Third Dimension

Let's denote the third dimension as 'h'. Using the given measurements and the sum of the lengths of all edges, we can solve for 'h'.

We have: - Sum of lengths of all edges = 104 cm - Length = 8 cm - Width = 12 cm

Substitute the given values into the formula: 104 = 4 * (8 + 12 + h)

Solving for 'h': 104 = 4 * (20 + h) 104 = 80 + 4h 4h = 104 - 80 4h = 24 h = 24 / 4 h = 6

Answer

The third dimension of the rectangular parallelepiped is 6 cm.