Question

ребят выручайте, сама школу закончила давно сейчас помогаю брату а в матиматике полный 0... сторони основи прямокутного паралепіпеда = 5 см і 6 см,а діагональ корень 65см. знайти площу повної поверхні паралепіпеда

Answer 1

Діагональ прямокутника дорівнює

$d=\sqrt{a^2+b^2+c^2}$

Звідси висота прямокутного параллелепіпеда дорівнює

$c=\sqrt{d^2-a^2-b^2}=\sqrt{(\sqrt{65})^2-5^2-6^2}=\sqrt{65-25-36}=\sqrt{4}=2;$ см

Площу повної поверхні паралепіпеда дорівнює

$S=2(ab+bc+ca)=2*(5*6+6*4+4*5)=2*(30+24+20)=2*74=148$ кв.см

відповідь: 148 кв.см

Answer 2

Problem Analysis

To find the surface area of a rectangular parallelepiped, we need to know the lengths of its sides. In this case, we are given the lengths of two sides and the length of the diagonal. We can use this information to find the remaining side lengths and then calculate the surface area.

Solution

Let's denote the sides of the rectangular parallelepiped as follows: - Length: L - Width: W - Height: H

We are given the following information: - Length: L = 5 cm - Width: W = 6 cm - Diagonal: √65 cm

To find the height, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the diagonal of the parallelepiped is the hypotenuse, and the length and width are the other two sides. Therefore, we can write the following equation:

L^2 + W^2 = Diagonal^2

Substituting the given values, we have:

5^2 + 6^2 = √65^2

Simplifying the equation, we get:

25 + 36 = 65

61 = 65

This equation is not true, which means there might be an error in the given information. Please double-check the values provided.

If you have any further questions, feel free to ask.