As there are many offices in your college for separate works and things, you need to inquire that where should you submit your application. And also assure that who is your addressee to get internship letter.
Mostly in colleges, admissions and registrar office only keeps your history of academic career and you daily attendance, and other your records. So better go and consult with this office about your application and needed records. In sometimes, the forms and applications may fill by you and themselves together.
While writing a request letter, just write your name and contact details in the left side of the letter. After that leave minimum double line space to write date. Then leave another double line space to write school name contact details and address. After that, leave double line space to DEAR and name of the contact person.
Next is main part of the letter. So you must write this like a professional. So concentrate while writing in a body of the letter. You should mention your college name, joined date, perfect reason for internship, time period, and if you know the company name just mention it.
You can also write something differently and and impressively. Like, you will gain more experiences and unique knowledge from only because of this internship chance. So whatever you write in the letter, it should be impressive one.
After that end you letter by writing SINCERELY, the leave 3 to five lines gap to put your signature above your name. And I also wishing for your bright future towards internship and so.