Will i be charged for texts on iPhone even though i turned off cellular data and enable 3G?

I have turned off my cellular data and 3G believing that everything of texts web browsing etc. Is all based on Wi-Fi. I know imessage won't charge me even though i'm on Wi-Fi. However if i were to text someone who does not have an iphone and it isn't imessage will i still be charged? Because sending messages to them works with my cellular data and 3g off but will i be charged or even charged more since it is off?

Texts have nothing to do with internet access, so 3G/4G/Wi-Fi are not involved. Never have.

iMessages are not text messages, they are instant messages (which require internet access).

If you send them using data (which is 1G-4G btw) then you would be charged.
If through Wi-Fi, no.