This page contains interactive nets of the polyhedra shown below as well as an image of a sphere. See also lesson G1b: 3D Geometry – terms and notation, which introduces key words like faces, vertices, edges and curved surfaces as well as the names all the key shapes

Cone

A solid cone has 1 vertex (called the apex), 1 circular face and 1 curved surface.

Note that the net of a cone is made up of a circle (which forms the base of the cone) and a sector of a circle. Notice how the sector angle can change as you vary the radius or the height of the cone.

With thanks to the Geogebra Materials Team, whose Nets of a cone worksheet is available here. Material modified and embedded here under the CC-BY-SA 3.0 license.