Question

Сторони основи прямокутного паралелепіпеда дорівнює 5 і 8 см повна поверхня паралелепіпеда дорівнює 150см^2 Знайдіть площу бічної поверхні паралелепіпеда Знайдіть висоту паралелепіпеда

Answer 1

Ответ:

Площа бічної поверхні - 70см²

Висота - 3.5 см

Объяснение:

сори за качество

Answer 2

Rectangular Parallelepiped Basics

A rectangular parallelepiped is a three-dimensional geometric shape with six rectangular faces. It is also known as a rectangular prism. The sides of the rectangular parallelepiped are called edges, and the points where the edges meet are called vertices.

In this case, the dimensions of the rectangular parallelepiped are given as 5 cm and 8 cm. Let's use this information to find the lateral surface area and the height of the parallelepiped.

Lateral Surface Area of a Rectangular Parallelepiped

The lateral surface area of a rectangular parallelepiped is the sum of the areas of its four lateral faces. To find the lateral surface area, we need to calculate the areas of the four rectangular faces and then add them together.

The formula to find the area of a rectangle is Area = length x width. In this case, the length of the rectangle is 5 cm and the width is 8 cm.

Therefore, the area of one rectangular face is 5 cm x 8 cm = 40 cm^2.

Since there are four rectangular faces, the total lateral surface area of the parallelepiped is 4 x 40 cm^2 = 160 cm^2.

Height of a Rectangular Parallelepiped

To find the height of the rectangular parallelepiped, we can use the formula for the volume of a rectangular parallelepiped. The volume of a rectangular parallelepiped is given by the formula Volume = length x width x height.

In this case, the volume of the parallelepiped is not given. However, we can use the given information about the total surface area to find the height.

The total surface area of a rectangular parallelepiped is the sum of the areas of all six faces. The formula to find the total surface area is Total Surface Area = 2(length x width + width x height + height x length).

In this case, the total surface area is given as 150 cm^2. We can substitute the given values into the formula and solve for the height.

150 cm^2 = 2(5 cm x 8 cm + 8 cm x height + height x 5 cm)

Simplifying the equation:

150 cm^2 = 2(40 cm^2 + 8 cm x height + 5 cm x height)

150 cm^2 = 80 cm^2 + 16 cm x height + 10 cm x height

150 cm^2 = 80 cm^2 + 26 cm x height

Subtracting 80 cm^2 from both sides:

70 cm^2 = 26 cm x height

Dividing both sides by 26 cm:

height = 70 cm^2 / 26 cm

height ≈ 2.69 cm

Therefore, the height of the rectangular parallelepiped is approximately 2.69 cm.

Summary:

- The lateral surface area of the rectangular parallelepiped is 160 cm^2. - The height of the rectangular parallelepiped is approximately 2.69 cm.