Why is my Iphone 5 constantly saying storage almost full?

I have a Iphone 5 that was 16GB of memory.
I do not use itunes and recently I keep getting a reminder saying my storage is almost full, and it won't let me take a mere photo without having to delete 20 beforehand.
I have deleted around 8 apps, old messages, over 1000 photos, and I'm still getting this message.
I have looked online and someone said about backing up your phone on itunes on desktop, then restoring it, as it makes copies so would take up less memory.
Can anyone offer some advice on this?

Go to setings->general->usage->manage storage
there you should see what is taking so much memory if this doesn't help I'd recommend to do what it says online

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