UV texture does not show in the render

I have applied a UV texture to a cube.
The texture is shown in the 3d view port (Textured Solid).

What must I do in order to let it appear in the render as well?

Assign the texture to the cubes material, set to influence colour and with the mapping set to UV

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That did the trick!
Thank you very much Richard.

I do have another question.

For the cube of the default scene, I can choose three types of textures (material, world, brush).
When I create a new object the material texture button is not present (the other two are).

What is the problem here?