The geometric net of a cylinder is a two-dimensional pattern or a 2D figure that can be folded to form a three-dimensional cylinder. The net of a cylinder consists of two circular bases and a rectangle, which forms the lateral surface of the cylinder.

Here, we will learn more details about the geometric net of a cylinder using diagrams. In addition, we will look at some important characteristics of these nets.

## Characteristics of the net of a cylinder

A cylinder is a three-dimensional figure made up of two circular bases and a lateral surface that connects the two bases. The geometric net of a cylinder contains two circles that form the two circular bases and a rectangle, which forms the curved surface when folded. In the following animation, we can see how the geometric net of a cylinder is formed.

We can observe that the bases remain unchanged. The radius and therefore the area of the circular bases is the same in the cylinder and in its 2D net.

However, the curved surface of the cylinder is extended to form a rectangle. The height of the rectangle is equal to the height of the cylinder.

The length of the rectangle corresponds to the circumference of the circular bases. Therefore, the length of the rectangle is equal to 2π*r*, where *r* is the radius of the bases.

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## Characteristics of the net of a cylinder

A geometric net of a 3D figure has the main characteristic that it is a two-dimensional figure, which forms a three-dimensional figure when folded. This means that when we fold a 2D net of a cylinder, we will form a cylinder, which is a 3D shape.

The 2D net of a cylinder has the following parts:

- Bases: Cylinders have two circular bases, both of which have a radius of
*r*. - Lateral surface: The lateral surface is a rectangle in the 2D net.

The surface area of the cylinder can be found by adding the areas of the three parts of its geometric net.

First of all, we have the two circular bases, which have an area of π*r*² each. Therefore, both circular bases have an area of 2π*r*².

In addition, we also have a rectangle, which has a height equal to the height of the cylinder and a length equal to the circumference of the circular bases. Therefore, its area is equal to 2π*rh*.

This means that the surface area of the cylinder is equal to 2π*r*²+2π*rh*.

## See also

Interested in learning more about nets of 3D figures? Take a look at these pages:

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