Since you are using
the latest version of Adobe Illustrator CC (2015.2.0 Release) on
I assume you have also access to photoshop.
If that's the case, you may use photoshops 3D functions to wrap your project assets in your proper formats. But it's not necessary.
Before you start, another assumption: you have access to the target object.
If that's true, I would recommend measuring with a measuring tape.
Imagine a wrapping rectangle around the artworks forms on the object.
Try to get the height and width of your artwork by measuring the distance in the middle of each rectangle side.
The height and width of your rectangle will be the height and width of your digital document. (You may care for the same units.)
Last assumption here: You have the target forms for your artwork as shown in your post.
If that's true, import them into your document. Transform their size into your document borders.
Now feel free to edit or import other project assets, the format should fit.