How to make multiple surfaces into one surface

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This can be done with native tools. Here are a few idea to explore:

Glitched textures when attempting to wrap an image around a cylinder

[Wrapping an Image Around a Cylinder] [SketchUp: Mapping photo textures to curved surfaces]

SketchUp: Mapping photo textures to curved surfaces

Sketchup Tutorial - Create Cola Can & Mapping Image Texture to Cylinder Surfaces