Question

ПОМОГИТЕ! Смежные стороны основания прямого параллелепипеда отличаются на 8 см,а сумма их длин равна 36 см.Расстояние между меньшими сторонами основания равно 16 см,а высота параллелепипеда 5 дм.Вычисли площадь полной поверхности.

Answer 1

16см стороны  другая сторона на 8 меньше значит 8 см    16*8*50 см(5дм)=6400см/кв

Answer 2

Problem Analysis

We are given the following information about a right rectangular parallelepiped: - The difference between the lengths of the adjacent sides of the base is 8 cm. - The sum of the lengths of the adjacent sides of the base is 36 cm. - The distance between the smaller sides of the base is 16 cm. - The height of the parallelepiped is 5 dm.

We need to calculate the total surface area of the parallelepiped.

Solution

To find the total surface area of the parallelepiped, we need to calculate the areas of all six faces and then sum them up.

Let's denote the lengths of the adjacent sides of the base as a and b. We are given that the difference between them is 8 cm, so we can write the equation:

a - b = 8 (Equation 1)

We are also given that the sum of the lengths of the adjacent sides of the base is 36 cm, so we can write the equation:

a + b = 36 (Equation 2)

Solving these two equations will give us the values of a and b.

Subtracting Equation 1 from Equation 2, we get:

(a + b) - (a - b) = 36 - 8

Simplifying, we have:

2b = 28

Dividing both sides by 2, we find:

b = 14

Substituting this value of b into Equation 2, we can solve for a:

a + 14 = 36

a = 22

So, the lengths of the adjacent sides of the base are a = 22 cm and b = 14 cm.

Now, let's calculate the areas of the six faces of the parallelepiped:

1. The area of the top face is a * b = 22 cm * 14 cm. 2. The area of the bottom face is also a * b = 22 cm * 14 cm. 3. The area of the front face is a * h = 22 cm * 5 dm. 4. The area of the back face is also a * h = 22 cm * 5 dm. 5. The area of the