Question

What is the lateral section?

Answer 1

Hint: Lateral is any side that is away from the middle. So the lateral section is a similar kind of a thing. A lateral section is generally a part of an object or a body. That section that is away from the middle of the body.

Complete step by step answer:
The lateral section is the surface or a section that is formed when a plane cuts through an object, and cuts, not at any arbitrary angle but at the right angles. That is when a lateral section is formed.
Therefore, lateral surface area is calculated by finding the area of the curved sides only, and not the base region, the formula for it can be the perimeter of the base multiplied by the height of any three dimensional object.
If, \[p\] is the perimeter of the base and \[h\]is the height of the three dimensional figure. Then,
\[lateralS.A. = p \times h\]
Examples of lateral surface:
The lateral section of a cone consists of its curved side only and not the base.

The lateral section of a cylinder consists that of its curved sides only and not the bases.

For a cube, the lateral sections consist of the four sides only and the area is also that of four faces. In the figure , the shaded portions are lateral surfaces

Note: The lateral surface area formula for cone
\[{A_L} = \pi r\sqrt {{h^2} + {r^2}} \]
The lateral surface area formula for cylinder
\[{A_{Lc}} = 2\pi rh\]
The lateral surface area formula for a cube, i.e., area of four faces
\[{A_{Lcu}} = 4{a^2}\]
The lateral section area is also called the curved surface area. However, it is not to be confused with the total surface area because it is the surface area of the curved surfaces and that of the bases.