Based on the dimensions of your styrofoam box, you need to measure and cut your wood pieces to size.
Since every styrofoam box or old box would be different, I can't give you exact measurements. It will require some thinking on your part but I am sure you will have a good time.
As for the lid on the chest, I've attached a picture to help cut the pieces at the right angle. My lid was half a tetradecagon shape.